MI0003

mobius_constant_one_convolution_delta

Alpha v34 independently verified · alpha_closed; checked-use authorized; not Stable

The previously proved prime-toggle cancellation identifies the actual convolution of independently defined Möbius values and constant one with every actual delta table.

Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved.

Exact expanded first-order arithmetic statement

forall N M U E. (((exists dst_positive_code_mu_one_mobiustable dst_positive_scale_mu_one_mobiustable dst_negative_code_mu_one_mobiustable dst_negative_scale_mu_one_mobiustable. (((M) = (((((dst_positive_code_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable)) * S ((dst_positive_code_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable)) + ((dst_positive_scale_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable))) + (((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) * S ((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) + ((dst_negative_scale_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)))) * S ((((dst_positive_code_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable)) * S ((dst_positive_code_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable)) + ((dst_positive_scale_mu_one_mobiustable) + (dst_positive_scale_mu_one_mobiustable))) + (((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) * S ((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) + ((dst_negative_scale_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)))) + ((((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) * S ((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) + ((dst_negative_scale_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable))) + (((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) * S ((dst_negative_code_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)) + ((dst_negative_scale_mu_one_mobiustable) + (dst_negative_scale_mu_one_mobiustable)))))) /\ (forall dst_index_mu_one_mobiustable. (exists pvs_le_gap_mu_one_mobiustabledomain. pvs_le_gap_mu_one_mobiustabledomain + (dst_index_mu_one_mobiustable) = (N)) -> exists dst_positive_mu_one_mobiustable dst_negative_mu_one_mobiustable dst_value_mu_one_mobiustable. ((((exists ff_h_pvs_mu_one_mobiustableentrypositive. ff_h_pvs_mu_one_mobiustableentrypositive + S (dst_positive_mu_one_mobiustable) = S ((S (dst_index_mu_one_mobiustable)) * dst_positive_scale_mu_one_mobiustable)) /\ exists ff_q_pvs_mu_one_mobiustableentrypositive. dst_positive_code_mu_one_mobiustable = ff_q_pvs_mu_one_mobiustableentrypositive * S ((S (dst_index_mu_one_mobiustable)) * dst_positive_scale_mu_one_mobiustable) + (dst_positive_mu_one_mobiustable))) /\ (((((exists ff_h_pvs_mu_one_mobiustableentrynegative. ff_h_pvs_mu_one_mobiustableentrynegative + S (dst_negative_mu_one_mobiustable) = S ((S (dst_index_mu_one_mobiustable)) * dst_negative_scale_mu_one_mobiustable)) /\ exists ff_q_pvs_mu_one_mobiustableentrynegative. dst_negative_code_mu_one_mobiustable = ff_q_pvs_mu_one_mobiustableentrynegative * S ((S (dst_index_mu_one_mobiustable)) * dst_negative_scale_mu_one_mobiustable) + (dst_negative_mu_one_mobiustable))) /\ (exists ge_balance_positive_mu_one_mobiustableentryvalue ge_balance_negative_mu_one_mobiustableentryvalue. (((((dst_value_mu_one_mobiustable) = 2 * (ge_balance_positive_mu_one_mobiustableentryvalue) /\ (ge_balance_negative_mu_one_mobiustableentryvalue) = 0) \/ exists ge_signed_half_mu_one_mobiustableentryvaluedecode. (((dst_value_mu_one_mobiustable) = 2 * ge_signed_half_mu_one_mobiustableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_mobiustableentryvalue) = 0) /\ (ge_balance_negative_mu_one_mobiustableentryvalue) = S ge_signed_half_mu_one_mobiustableentryvaluedecode))) /\ ((dst_positive_mu_one_mobiustable) + ge_balance_negative_mu_one_mobiustableentryvalue = (dst_negative_mu_one_mobiustable) + ge_balance_positive_mu_one_mobiustableentryvalue))))))))) /\ (((exists dst_positive_code_mu_one_mobiuszero dst_positive_scale_mu_one_mobiuszero dst_negative_code_mu_one_mobiuszero dst_negative_scale_mu_one_mobiuszero dst_positive_mu_one_mobiuszero dst_negative_mu_one_mobiuszero. (((M) = (((((dst_positive_code_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero)) * S ((dst_positive_code_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero)) + ((dst_positive_scale_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero))) + (((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) * S ((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) + ((dst_negative_scale_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)))) * S ((((dst_positive_code_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero)) * S ((dst_positive_code_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero)) + ((dst_positive_scale_mu_one_mobiuszero) + (dst_positive_scale_mu_one_mobiuszero))) + (((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) * S ((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) + ((dst_negative_scale_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)))) + ((((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) * S ((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) + ((dst_negative_scale_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero))) + (((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) * S ((dst_negative_code_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)) + ((dst_negative_scale_mu_one_mobiuszero) + (dst_negative_scale_mu_one_mobiuszero)))))) /\ (((((exists ff_h_pvs_mu_one_mobiuszeropositive. ff_h_pvs_mu_one_mobiuszeropositive + S (dst_positive_mu_one_mobiuszero) = S ((S (0)) * dst_positive_scale_mu_one_mobiuszero)) /\ exists ff_q_pvs_mu_one_mobiuszeropositive. dst_positive_code_mu_one_mobiuszero = ff_q_pvs_mu_one_mobiuszeropositive * S ((S (0)) * dst_positive_scale_mu_one_mobiuszero) + (dst_positive_mu_one_mobiuszero))) /\ (((((exists ff_h_pvs_mu_one_mobiuszeronegative. ff_h_pvs_mu_one_mobiuszeronegative + S (dst_negative_mu_one_mobiuszero) = S ((S (0)) * dst_negative_scale_mu_one_mobiuszero)) /\ exists ff_q_pvs_mu_one_mobiuszeronegative. dst_negative_code_mu_one_mobiuszero = ff_q_pvs_mu_one_mobiuszeronegative * S ((S (0)) * dst_negative_scale_mu_one_mobiuszero) + (dst_negative_mu_one_mobiuszero))) /\ (exists ge_balance_positive_mu_one_mobiuszerovalue ge_balance_negative_mu_one_mobiuszerovalue. (((((0) = 2 * (ge_balance_positive_mu_one_mobiuszerovalue) /\ (ge_balance_negative_mu_one_mobiuszerovalue) = 0) \/ exists ge_signed_half_mu_one_mobiuszerovaluedecode. (((0) = 2 * ge_signed_half_mu_one_mobiuszerovaluedecode + 1 /\ (ge_balance_positive_mu_one_mobiuszerovalue) = 0) /\ (ge_balance_negative_mu_one_mobiuszerovalue) = S ge_signed_half_mu_one_mobiuszerovaluedecode))) /\ ((dst_positive_mu_one_mobiuszero) + ge_balance_negative_mu_one_mobiuszerovalue = (dst_negative_mu_one_mobiuszero) + ge_balance_positive_mu_one_mobiuszerovalue))))))))) /\ (forall mt_index_mu_one_mobius mt_value_mu_one_mobius. ~(mt_index_mu_one_mobius=0) -> (exists pvs_le_gap_mu_one_mobiusdomain. pvs_le_gap_mu_one_mobiusdomain + (mt_index_mu_one_mobius) = (N)) -> (exists dst_positive_code_mu_one_mobiusentry dst_positive_scale_mu_one_mobiusentry dst_negative_code_mu_one_mobiusentry dst_negative_scale_mu_one_mobiusentry dst_positive_mu_one_mobiusentry dst_negative_mu_one_mobiusentry. (((M) = (((((dst_positive_code_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry)) * S ((dst_positive_code_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry)) + ((dst_positive_scale_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry))) + (((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) * S ((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) + ((dst_negative_scale_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)))) * S ((((dst_positive_code_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry)) * S ((dst_positive_code_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry)) + ((dst_positive_scale_mu_one_mobiusentry) + (dst_positive_scale_mu_one_mobiusentry))) + (((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) * S ((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) + ((dst_negative_scale_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)))) + ((((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) * S ((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) + ((dst_negative_scale_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry))) + (((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) * S ((dst_negative_code_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)) + ((dst_negative_scale_mu_one_mobiusentry) + (dst_negative_scale_mu_one_mobiusentry)))))) /\ (((((exists ff_h_pvs_mu_one_mobiusentrypositive. ff_h_pvs_mu_one_mobiusentrypositive + S (dst_positive_mu_one_mobiusentry) = S ((S (mt_index_mu_one_mobius)) * dst_positive_scale_mu_one_mobiusentry)) /\ exists ff_q_pvs_mu_one_mobiusentrypositive. dst_positive_code_mu_one_mobiusentry = ff_q_pvs_mu_one_mobiusentrypositive * S ((S (mt_index_mu_one_mobius)) * dst_positive_scale_mu_one_mobiusentry) + (dst_positive_mu_one_mobiusentry))) /\ (((((exists ff_h_pvs_mu_one_mobiusentrynegative. ff_h_pvs_mu_one_mobiusentrynegative + S (dst_negative_mu_one_mobiusentry) = S ((S (mt_index_mu_one_mobius)) * dst_negative_scale_mu_one_mobiusentry)) /\ exists ff_q_pvs_mu_one_mobiusentrynegative. dst_negative_code_mu_one_mobiusentry = ff_q_pvs_mu_one_mobiusentrynegative * S ((S (mt_index_mu_one_mobius)) * dst_negative_scale_mu_one_mobiusentry) + (dst_negative_mu_one_mobiusentry))) /\ (exists ge_balance_positive_mu_one_mobiusentryvalue ge_balance_negative_mu_one_mobiusentryvalue. (((((mt_value_mu_one_mobius) = 2 * (ge_balance_positive_mu_one_mobiusentryvalue) /\ (ge_balance_negative_mu_one_mobiusentryvalue) = 0) \/ exists ge_signed_half_mu_one_mobiusentryvaluedecode. (((mt_value_mu_one_mobius) = 2 * ge_signed_half_mu_one_mobiusentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_mobiusentryvalue) = 0) /\ (ge_balance_negative_mu_one_mobiusentryvalue) = S ge_signed_half_mu_one_mobiusentryvaluedecode))) /\ ((dst_positive_mu_one_mobiusentry) + ge_balance_negative_mu_one_mobiusentryvalue = (dst_negative_mu_one_mobiusentry) + ge_balance_positive_mu_one_mobiusentryvalue))))))))) -> (((~((mt_index_mu_one_mobius) = 0)) /\ ((((exists mv_square_prime_mu_one_mobiusvaluesquare. ((~((mv_square_prime_mu_one_mobiusvaluesquare) = 1) /\ forall pvs_left_mu_one_mobiusvaluesquareprime pvs_right_mu_one_mobiusvaluesquareprime. (mv_square_prime_mu_one_mobiusvaluesquare) = pvs_left_mu_one_mobiusvaluesquareprime * pvs_right_mu_one_mobiusvaluesquareprime -> pvs_left_mu_one_mobiusvaluesquareprime = 1 \/ pvs_right_mu_one_mobiusvaluesquareprime = 1) /\ (exists pvs_factor_mu_one_mobiusvaluesquaredivisor. (mt_index_mu_one_mobius) = (mv_square_prime_mu_one_mobiusvaluesquare * mv_square_prime_mu_one_mobiusvaluesquare) * pvs_factor_mu_one_mobiusvaluesquaredivisor))) /\ ((mt_value_mu_one_mobius) = 0))) \/ (((((~((mt_index_mu_one_mobius) = 0)) /\ (forall sfd_prime_mu_one_mobiusvaluesquarefree. (~((sfd_prime_mu_one_mobiusvaluesquarefree) = 1) /\ forall pvs_left_mu_one_mobiusvaluesquarefreedomain pvs_right_mu_one_mobiusvaluesquarefreedomain. (sfd_prime_mu_one_mobiusvaluesquarefree) = pvs_left_mu_one_mobiusvaluesquarefreedomain * pvs_right_mu_one_mobiusvaluesquarefreedomain -> pvs_left_mu_one_mobiusvaluesquarefreedomain = 1 \/ pvs_right_mu_one_mobiusvaluesquarefreedomain = 1) -> (exists pvs_le_gap_mu_one_mobiusvaluesquarefreebound. pvs_le_gap_mu_one_mobiusvaluesquarefreebound + (sfd_prime_mu_one_mobiusvaluesquarefree) = (mt_index_mu_one_mobius)) -> ~(exists pvs_factor_mu_one_mobiusvaluesquarefreesquare. (mt_index_mu_one_mobius) = (sfd_prime_mu_one_mobiusvaluesquarefree * sfd_prime_mu_one_mobiusvaluesquarefree) * pvs_factor_mu_one_mobiusvaluesquarefreesquare)))) /\ (exists mv_factor_code_mu_one_mobiusvaluefactors mv_factor_scale_mu_one_mobiusvaluefactors mv_factor_count_mu_one_mobiusvaluefactors. (((~(mt_index_mu_one_mobius = 0) /\ ((exists ff_u_fsat_mu_one_mobiusvaluefactorsfactorization_product ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product. ((((exists ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_start. ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_start + S (1) = S ((S (0)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product)) /\ exists ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_start. ff_u_fsat_mu_one_mobiusvaluefactorsfactorization_product = ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_start * S ((S (0)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product) + (1))) /\ ((((exists ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_terminal. ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_terminal + S (mt_index_mu_one_mobius) = S ((S (mv_factor_count_mu_one_mobiusvaluefactors)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product)) /\ exists ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_terminal. ff_u_fsat_mu_one_mobiusvaluefactorsfactorization_product = ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_terminal * S ((S (mv_factor_count_mu_one_mobiusvaluefactors)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product) + (mt_index_mu_one_mobius))) /\ forall ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product. (exists ff_lt_fsat_mu_one_mobiusvaluefactorsfactorization_product_bound. ff_lt_fsat_mu_one_mobiusvaluefactorsfactorization_product_bound + S ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product = mv_factor_count_mu_one_mobiusvaluefactors) -> exists ff_p_fsat_mu_one_mobiusvaluefactorsfactorization_product ff_r_fsat_mu_one_mobiusvaluefactorsfactorization_product ff_s_fsat_mu_one_mobiusvaluefactorsfactorization_product. ((((exists ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_factor. ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_factor + S (ff_p_fsat_mu_one_mobiusvaluefactorsfactorization_product) = S ((S (ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * mv_factor_scale_mu_one_mobiusvaluefactors)) /\ exists ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_factor. mv_factor_code_mu_one_mobiusvaluefactors = ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_factor * S ((S (ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * mv_factor_scale_mu_one_mobiusvaluefactors) + (ff_p_fsat_mu_one_mobiusvaluefactorsfactorization_product))) /\ ((((exists ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_partial. ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_partial + S (ff_r_fsat_mu_one_mobiusvaluefactorsfactorization_product) = S ((S (ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product)) /\ exists ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_partial. ff_u_fsat_mu_one_mobiusvaluefactorsfactorization_product = ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_partial * S ((S (ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product) + (ff_r_fsat_mu_one_mobiusvaluefactorsfactorization_product))) /\ ((((exists ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_successor. ff_h_fsat_mu_one_mobiusvaluefactorsfactorization_product_successor + S (ff_s_fsat_mu_one_mobiusvaluefactorsfactorization_product) = S ((S (S ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product)) /\ exists ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_successor. ff_u_fsat_mu_one_mobiusvaluefactorsfactorization_product = ff_q_fsat_mu_one_mobiusvaluefactorsfactorization_product_successor * S ((S (S ff_i_fsat_mu_one_mobiusvaluefactorsfactorization_product)) * ff_v_fsat_mu_one_mobiusvaluefactorsfactorization_product) + (ff_s_fsat_mu_one_mobiusvaluefactorsfactorization_product))) /\ ff_s_fsat_mu_one_mobiusvaluefactorsfactorization_product = ff_r_fsat_mu_one_mobiusvaluefactorsfactorization_product * ff_p_fsat_mu_one_mobiusvaluefactorsfactorization_product)))))) /\ (forall ftsf_index_fsat_mu_one_mobiusvaluefactorsfactorization_primes. (exists ftsf_gap_fsat_mu_one_mobiusvaluefactorsfactorization_primes_bound. ftsf_gap_fsat_mu_one_mobiusvaluefactorsfactorization_primes_bound + S ftsf_index_fsat_mu_one_mobiusvaluefactorsfactorization_primes = (mv_factor_count_mu_one_mobiusvaluefactors)) -> exists ftsf_factor_fsat_mu_one_mobiusvaluefactorsfactorization_primes. ((((exists ff_h_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_entry. ff_h_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_entry + S (ftsf_factor_fsat_mu_one_mobiusvaluefactorsfactorization_primes) = S ((S (ftsf_index_fsat_mu_one_mobiusvaluefactorsfactorization_primes)) * mv_factor_scale_mu_one_mobiusvaluefactors)) /\ exists ff_q_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_entry. mv_factor_code_mu_one_mobiusvaluefactors = ff_q_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_entry * S ((S (ftsf_index_fsat_mu_one_mobiusvaluefactorsfactorization_primes)) * mv_factor_scale_mu_one_mobiusvaluefactors) + (ftsf_factor_fsat_mu_one_mobiusvaluefactorsfactorization_primes))) /\ ((~(ftsf_factor_fsat_mu_one_mobiusvaluefactorsfactorization_primes = 1) /\ forall frm_prime_left_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime frm_prime_right_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime. ftsf_factor_fsat_mu_one_mobiusvaluefactorsfactorization_primes = frm_prime_left_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime * frm_prime_right_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime -> frm_prime_left_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime = 1 \/ frm_prime_right_ftsf_fsat_mu_one_mobiusvaluefactorsfactorization_primes_prime = 1))))))) /\ ((((exists mv_even_half_mu_one_mobiusvaluefactorsparityeven. (mv_factor_count_mu_one_mobiusvaluefactors) = 2 * mv_even_half_mu_one_mobiusvaluefactorsparityeven) /\ ((mt_value_mu_one_mobius) = 2))) \/ (((exists mv_odd_half_mu_one_mobiusvaluefactorsparityodd. (mv_factor_count_mu_one_mobiusvaluefactors) = 2 * mv_odd_half_mu_one_mobiusvaluefactorsparityodd + 1) /\ ((mt_value_mu_one_mobius) = 1)))))))))))))))) -> (((exists dst_positive_code_mu_one_onetable dst_positive_scale_mu_one_onetable dst_negative_code_mu_one_onetable dst_negative_scale_mu_one_onetable. (((U) = (((((dst_positive_code_mu_one_onetable) + (dst_positive_scale_mu_one_onetable)) * S ((dst_positive_code_mu_one_onetable) + (dst_positive_scale_mu_one_onetable)) + ((dst_positive_scale_mu_one_onetable) + (dst_positive_scale_mu_one_onetable))) + (((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) * S ((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) + ((dst_negative_scale_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)))) * S ((((dst_positive_code_mu_one_onetable) + (dst_positive_scale_mu_one_onetable)) * S ((dst_positive_code_mu_one_onetable) + (dst_positive_scale_mu_one_onetable)) + ((dst_positive_scale_mu_one_onetable) + (dst_positive_scale_mu_one_onetable))) + (((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) * S ((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) + ((dst_negative_scale_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)))) + ((((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) * S ((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) + ((dst_negative_scale_mu_one_onetable) + (dst_negative_scale_mu_one_onetable))) + (((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) * S ((dst_negative_code_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)) + ((dst_negative_scale_mu_one_onetable) + (dst_negative_scale_mu_one_onetable)))))) /\ (forall dst_index_mu_one_onetable. (exists pvs_le_gap_mu_one_onetabledomain. pvs_le_gap_mu_one_onetabledomain + (dst_index_mu_one_onetable) = (N)) -> exists dst_positive_mu_one_onetable dst_negative_mu_one_onetable dst_value_mu_one_onetable. ((((exists ff_h_pvs_mu_one_onetableentrypositive. ff_h_pvs_mu_one_onetableentrypositive + S (dst_positive_mu_one_onetable) = S ((S (dst_index_mu_one_onetable)) * dst_positive_scale_mu_one_onetable)) /\ exists ff_q_pvs_mu_one_onetableentrypositive. dst_positive_code_mu_one_onetable = ff_q_pvs_mu_one_onetableentrypositive * S ((S (dst_index_mu_one_onetable)) * dst_positive_scale_mu_one_onetable) + (dst_positive_mu_one_onetable))) /\ (((((exists ff_h_pvs_mu_one_onetableentrynegative. ff_h_pvs_mu_one_onetableentrynegative + S (dst_negative_mu_one_onetable) = S ((S (dst_index_mu_one_onetable)) * dst_negative_scale_mu_one_onetable)) /\ exists ff_q_pvs_mu_one_onetableentrynegative. dst_negative_code_mu_one_onetable = ff_q_pvs_mu_one_onetableentrynegative * S ((S (dst_index_mu_one_onetable)) * dst_negative_scale_mu_one_onetable) + (dst_negative_mu_one_onetable))) /\ (exists ge_balance_positive_mu_one_onetableentryvalue ge_balance_negative_mu_one_onetableentryvalue. (((((dst_value_mu_one_onetable) = 2 * (ge_balance_positive_mu_one_onetableentryvalue) /\ (ge_balance_negative_mu_one_onetableentryvalue) = 0) \/ exists ge_signed_half_mu_one_onetableentryvaluedecode. (((dst_value_mu_one_onetable) = 2 * ge_signed_half_mu_one_onetableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_onetableentryvalue) = 0) /\ (ge_balance_negative_mu_one_onetableentryvalue) = S ge_signed_half_mu_one_onetableentryvaluedecode))) /\ ((dst_positive_mu_one_onetable) + ge_balance_negative_mu_one_onetableentryvalue = (dst_negative_mu_one_onetable) + ge_balance_positive_mu_one_onetableentryvalue))))))))) /\ (forall du_index_mu_one_one du_value_mu_one_one. ~(du_index_mu_one_one=0) -> (exists pvs_le_gap_mu_one_onebound. pvs_le_gap_mu_one_onebound + (du_index_mu_one_one) = (N)) -> (exists dst_positive_code_mu_one_oneentry dst_positive_scale_mu_one_oneentry dst_negative_code_mu_one_oneentry dst_negative_scale_mu_one_oneentry dst_positive_mu_one_oneentry dst_negative_mu_one_oneentry. (((U) = (((((dst_positive_code_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry)) * S ((dst_positive_code_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry)) + ((dst_positive_scale_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry))) + (((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) * S ((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) + ((dst_negative_scale_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)))) * S ((((dst_positive_code_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry)) * S ((dst_positive_code_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry)) + ((dst_positive_scale_mu_one_oneentry) + (dst_positive_scale_mu_one_oneentry))) + (((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) * S ((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) + ((dst_negative_scale_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)))) + ((((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) * S ((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) + ((dst_negative_scale_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry))) + (((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) * S ((dst_negative_code_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)) + ((dst_negative_scale_mu_one_oneentry) + (dst_negative_scale_mu_one_oneentry)))))) /\ (((((exists ff_h_pvs_mu_one_oneentrypositive. ff_h_pvs_mu_one_oneentrypositive + S (dst_positive_mu_one_oneentry) = S ((S (du_index_mu_one_one)) * dst_positive_scale_mu_one_oneentry)) /\ exists ff_q_pvs_mu_one_oneentrypositive. dst_positive_code_mu_one_oneentry = ff_q_pvs_mu_one_oneentrypositive * S ((S (du_index_mu_one_one)) * dst_positive_scale_mu_one_oneentry) + (dst_positive_mu_one_oneentry))) /\ (((((exists ff_h_pvs_mu_one_oneentrynegative. ff_h_pvs_mu_one_oneentrynegative + S (dst_negative_mu_one_oneentry) = S ((S (du_index_mu_one_one)) * dst_negative_scale_mu_one_oneentry)) /\ exists ff_q_pvs_mu_one_oneentrynegative. dst_negative_code_mu_one_oneentry = ff_q_pvs_mu_one_oneentrynegative * S ((S (du_index_mu_one_one)) * dst_negative_scale_mu_one_oneentry) + (dst_negative_mu_one_oneentry))) /\ (exists ge_balance_positive_mu_one_oneentryvalue ge_balance_negative_mu_one_oneentryvalue. (((((du_value_mu_one_one) = 2 * (ge_balance_positive_mu_one_oneentryvalue) /\ (ge_balance_negative_mu_one_oneentryvalue) = 0) \/ exists ge_signed_half_mu_one_oneentryvaluedecode. (((du_value_mu_one_one) = 2 * ge_signed_half_mu_one_oneentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_oneentryvalue) = 0) /\ (ge_balance_negative_mu_one_oneentryvalue) = S ge_signed_half_mu_one_oneentryvaluedecode))) /\ ((dst_positive_mu_one_oneentry) + ge_balance_negative_mu_one_oneentryvalue = (dst_negative_mu_one_oneentry) + ge_balance_positive_mu_one_oneentryvalue))))))))) -> du_value_mu_one_one=2))) -> (((exists dst_positive_code_mu_one_deltatable dst_positive_scale_mu_one_deltatable dst_negative_code_mu_one_deltatable dst_negative_scale_mu_one_deltatable. (((E) = (((((dst_positive_code_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable)) * S ((dst_positive_code_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable)) + ((dst_positive_scale_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable))) + (((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) * S ((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) + ((dst_negative_scale_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)))) * S ((((dst_positive_code_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable)) * S ((dst_positive_code_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable)) + ((dst_positive_scale_mu_one_deltatable) + (dst_positive_scale_mu_one_deltatable))) + (((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) * S ((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) + ((dst_negative_scale_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)))) + ((((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) * S ((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) + ((dst_negative_scale_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable))) + (((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) * S ((dst_negative_code_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)) + ((dst_negative_scale_mu_one_deltatable) + (dst_negative_scale_mu_one_deltatable)))))) /\ (forall dst_index_mu_one_deltatable. (exists pvs_le_gap_mu_one_deltatabledomain. pvs_le_gap_mu_one_deltatabledomain + (dst_index_mu_one_deltatable) = (N)) -> exists dst_positive_mu_one_deltatable dst_negative_mu_one_deltatable dst_value_mu_one_deltatable. ((((exists ff_h_pvs_mu_one_deltatableentrypositive. ff_h_pvs_mu_one_deltatableentrypositive + S (dst_positive_mu_one_deltatable) = S ((S (dst_index_mu_one_deltatable)) * dst_positive_scale_mu_one_deltatable)) /\ exists ff_q_pvs_mu_one_deltatableentrypositive. dst_positive_code_mu_one_deltatable = ff_q_pvs_mu_one_deltatableentrypositive * S ((S (dst_index_mu_one_deltatable)) * dst_positive_scale_mu_one_deltatable) + (dst_positive_mu_one_deltatable))) /\ (((((exists ff_h_pvs_mu_one_deltatableentrynegative. ff_h_pvs_mu_one_deltatableentrynegative + S (dst_negative_mu_one_deltatable) = S ((S (dst_index_mu_one_deltatable)) * dst_negative_scale_mu_one_deltatable)) /\ exists ff_q_pvs_mu_one_deltatableentrynegative. dst_negative_code_mu_one_deltatable = ff_q_pvs_mu_one_deltatableentrynegative * S ((S (dst_index_mu_one_deltatable)) * dst_negative_scale_mu_one_deltatable) + (dst_negative_mu_one_deltatable))) /\ (exists ge_balance_positive_mu_one_deltatableentryvalue ge_balance_negative_mu_one_deltatableentryvalue. (((((dst_value_mu_one_deltatable) = 2 * (ge_balance_positive_mu_one_deltatableentryvalue) /\ (ge_balance_negative_mu_one_deltatableentryvalue) = 0) \/ exists ge_signed_half_mu_one_deltatableentryvaluedecode. (((dst_value_mu_one_deltatable) = 2 * ge_signed_half_mu_one_deltatableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_deltatableentryvalue) = 0) /\ (ge_balance_negative_mu_one_deltatableentryvalue) = S ge_signed_half_mu_one_deltatableentryvaluedecode))) /\ ((dst_positive_mu_one_deltatable) + ge_balance_negative_mu_one_deltatableentryvalue = (dst_negative_mu_one_deltatable) + ge_balance_positive_mu_one_deltatableentryvalue))))))))) /\ (forall du_index_mu_one_delta du_value_mu_one_delta. ~(du_index_mu_one_delta=0) -> (exists pvs_le_gap_mu_one_deltabound. pvs_le_gap_mu_one_deltabound + (du_index_mu_one_delta) = (N)) -> (exists dst_positive_code_mu_one_deltaentry dst_positive_scale_mu_one_deltaentry dst_negative_code_mu_one_deltaentry dst_negative_scale_mu_one_deltaentry dst_positive_mu_one_deltaentry dst_negative_mu_one_deltaentry. (((E) = (((((dst_positive_code_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry)) * S ((dst_positive_code_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry)) + ((dst_positive_scale_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry))) + (((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) * S ((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) + ((dst_negative_scale_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)))) * S ((((dst_positive_code_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry)) * S ((dst_positive_code_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry)) + ((dst_positive_scale_mu_one_deltaentry) + (dst_positive_scale_mu_one_deltaentry))) + (((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) * S ((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) + ((dst_negative_scale_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)))) + ((((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) * S ((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) + ((dst_negative_scale_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry))) + (((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) * S ((dst_negative_code_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)) + ((dst_negative_scale_mu_one_deltaentry) + (dst_negative_scale_mu_one_deltaentry)))))) /\ (((((exists ff_h_pvs_mu_one_deltaentrypositive. ff_h_pvs_mu_one_deltaentrypositive + S (dst_positive_mu_one_deltaentry) = S ((S (du_index_mu_one_delta)) * dst_positive_scale_mu_one_deltaentry)) /\ exists ff_q_pvs_mu_one_deltaentrypositive. dst_positive_code_mu_one_deltaentry = ff_q_pvs_mu_one_deltaentrypositive * S ((S (du_index_mu_one_delta)) * dst_positive_scale_mu_one_deltaentry) + (dst_positive_mu_one_deltaentry))) /\ (((((exists ff_h_pvs_mu_one_deltaentrynegative. ff_h_pvs_mu_one_deltaentrynegative + S (dst_negative_mu_one_deltaentry) = S ((S (du_index_mu_one_delta)) * dst_negative_scale_mu_one_deltaentry)) /\ exists ff_q_pvs_mu_one_deltaentrynegative. dst_negative_code_mu_one_deltaentry = ff_q_pvs_mu_one_deltaentrynegative * S ((S (du_index_mu_one_delta)) * dst_negative_scale_mu_one_deltaentry) + (dst_negative_mu_one_deltaentry))) /\ (exists ge_balance_positive_mu_one_deltaentryvalue ge_balance_negative_mu_one_deltaentryvalue. (((((du_value_mu_one_delta) = 2 * (ge_balance_positive_mu_one_deltaentryvalue) /\ (ge_balance_negative_mu_one_deltaentryvalue) = 0) \/ exists ge_signed_half_mu_one_deltaentryvaluedecode. (((du_value_mu_one_delta) = 2 * ge_signed_half_mu_one_deltaentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_deltaentryvalue) = 0) /\ (ge_balance_negative_mu_one_deltaentryvalue) = S ge_signed_half_mu_one_deltaentryvaluedecode))) /\ ((dst_positive_mu_one_deltaentry) + ge_balance_negative_mu_one_deltaentryvalue = (dst_negative_mu_one_deltaentry) + ge_balance_positive_mu_one_deltaentryvalue))))))))) -> ((((du_index_mu_one_delta)=1 -> (du_value_mu_one_delta)=2) /\ (~((du_index_mu_one_delta)=1) -> (du_value_mu_one_delta)=0)))))) -> (((exists dst_positive_code_mu_one_resultleft dst_positive_scale_mu_one_resultleft dst_negative_code_mu_one_resultleft dst_negative_scale_mu_one_resultleft. (((M) = (((((dst_positive_code_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft)) * S ((dst_positive_code_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft)) + ((dst_positive_scale_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft))) + (((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) * S ((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) + ((dst_negative_scale_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)))) * S ((((dst_positive_code_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft)) * S ((dst_positive_code_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft)) + ((dst_positive_scale_mu_one_resultleft) + (dst_positive_scale_mu_one_resultleft))) + (((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) * S ((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) + ((dst_negative_scale_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)))) + ((((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) * S ((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) + ((dst_negative_scale_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft))) + (((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) * S ((dst_negative_code_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)) + ((dst_negative_scale_mu_one_resultleft) + (dst_negative_scale_mu_one_resultleft)))))) /\ (forall dst_index_mu_one_resultleft. (exists pvs_le_gap_mu_one_resultleftdomain. pvs_le_gap_mu_one_resultleftdomain + (dst_index_mu_one_resultleft) = (N)) -> exists dst_positive_mu_one_resultleft dst_negative_mu_one_resultleft dst_value_mu_one_resultleft. ((((exists ff_h_pvs_mu_one_resultleftentrypositive. ff_h_pvs_mu_one_resultleftentrypositive + S (dst_positive_mu_one_resultleft) = S ((S (dst_index_mu_one_resultleft)) * dst_positive_scale_mu_one_resultleft)) /\ exists ff_q_pvs_mu_one_resultleftentrypositive. dst_positive_code_mu_one_resultleft = ff_q_pvs_mu_one_resultleftentrypositive * S ((S (dst_index_mu_one_resultleft)) * dst_positive_scale_mu_one_resultleft) + (dst_positive_mu_one_resultleft))) /\ (((((exists ff_h_pvs_mu_one_resultleftentrynegative. ff_h_pvs_mu_one_resultleftentrynegative + S (dst_negative_mu_one_resultleft) = S ((S (dst_index_mu_one_resultleft)) * dst_negative_scale_mu_one_resultleft)) /\ exists ff_q_pvs_mu_one_resultleftentrynegative. dst_negative_code_mu_one_resultleft = ff_q_pvs_mu_one_resultleftentrynegative * S ((S (dst_index_mu_one_resultleft)) * dst_negative_scale_mu_one_resultleft) + (dst_negative_mu_one_resultleft))) /\ (exists ge_balance_positive_mu_one_resultleftentryvalue ge_balance_negative_mu_one_resultleftentryvalue. (((((dst_value_mu_one_resultleft) = 2 * (ge_balance_positive_mu_one_resultleftentryvalue) /\ (ge_balance_negative_mu_one_resultleftentryvalue) = 0) \/ exists ge_signed_half_mu_one_resultleftentryvaluedecode. (((dst_value_mu_one_resultleft) = 2 * ge_signed_half_mu_one_resultleftentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultleftentryvalue) = 0) /\ (ge_balance_negative_mu_one_resultleftentryvalue) = S ge_signed_half_mu_one_resultleftentryvaluedecode))) /\ ((dst_positive_mu_one_resultleft) + ge_balance_negative_mu_one_resultleftentryvalue = (dst_negative_mu_one_resultleft) + ge_balance_positive_mu_one_resultleftentryvalue))))))))) /\ (((exists dst_positive_code_mu_one_resultright dst_positive_scale_mu_one_resultright dst_negative_code_mu_one_resultright dst_negative_scale_mu_one_resultright. (((U) = (((((dst_positive_code_mu_one_resultright) + (dst_positive_scale_mu_one_resultright)) * S ((dst_positive_code_mu_one_resultright) + (dst_positive_scale_mu_one_resultright)) + ((dst_positive_scale_mu_one_resultright) + (dst_positive_scale_mu_one_resultright))) + (((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) * S ((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) + ((dst_negative_scale_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)))) * S ((((dst_positive_code_mu_one_resultright) + (dst_positive_scale_mu_one_resultright)) * S ((dst_positive_code_mu_one_resultright) + (dst_positive_scale_mu_one_resultright)) + ((dst_positive_scale_mu_one_resultright) + (dst_positive_scale_mu_one_resultright))) + (((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) * S ((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) + ((dst_negative_scale_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)))) + ((((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) * S ((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) + ((dst_negative_scale_mu_one_resultright) + (dst_negative_scale_mu_one_resultright))) + (((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) * S ((dst_negative_code_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)) + ((dst_negative_scale_mu_one_resultright) + (dst_negative_scale_mu_one_resultright)))))) /\ (forall dst_index_mu_one_resultright. (exists pvs_le_gap_mu_one_resultrightdomain. pvs_le_gap_mu_one_resultrightdomain + (dst_index_mu_one_resultright) = (N)) -> exists dst_positive_mu_one_resultright dst_negative_mu_one_resultright dst_value_mu_one_resultright. ((((exists ff_h_pvs_mu_one_resultrightentrypositive. ff_h_pvs_mu_one_resultrightentrypositive + S (dst_positive_mu_one_resultright) = S ((S (dst_index_mu_one_resultright)) * dst_positive_scale_mu_one_resultright)) /\ exists ff_q_pvs_mu_one_resultrightentrypositive. dst_positive_code_mu_one_resultright = ff_q_pvs_mu_one_resultrightentrypositive * S ((S (dst_index_mu_one_resultright)) * dst_positive_scale_mu_one_resultright) + (dst_positive_mu_one_resultright))) /\ (((((exists ff_h_pvs_mu_one_resultrightentrynegative. ff_h_pvs_mu_one_resultrightentrynegative + S (dst_negative_mu_one_resultright) = S ((S (dst_index_mu_one_resultright)) * dst_negative_scale_mu_one_resultright)) /\ exists ff_q_pvs_mu_one_resultrightentrynegative. dst_negative_code_mu_one_resultright = ff_q_pvs_mu_one_resultrightentrynegative * S ((S (dst_index_mu_one_resultright)) * dst_negative_scale_mu_one_resultright) + (dst_negative_mu_one_resultright))) /\ (exists ge_balance_positive_mu_one_resultrightentryvalue ge_balance_negative_mu_one_resultrightentryvalue. (((((dst_value_mu_one_resultright) = 2 * (ge_balance_positive_mu_one_resultrightentryvalue) /\ (ge_balance_negative_mu_one_resultrightentryvalue) = 0) \/ exists ge_signed_half_mu_one_resultrightentryvaluedecode. (((dst_value_mu_one_resultright) = 2 * ge_signed_half_mu_one_resultrightentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultrightentryvalue) = 0) /\ (ge_balance_negative_mu_one_resultrightentryvalue) = S ge_signed_half_mu_one_resultrightentryvaluedecode))) /\ ((dst_positive_mu_one_resultright) + ge_balance_negative_mu_one_resultrightentryvalue = (dst_negative_mu_one_resultright) + ge_balance_positive_mu_one_resultrightentryvalue))))))))) /\ (((exists dst_positive_code_mu_one_resulttable dst_positive_scale_mu_one_resulttable dst_negative_code_mu_one_resulttable dst_negative_scale_mu_one_resulttable. (((E) = (((((dst_positive_code_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable)) * S ((dst_positive_code_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable)) + ((dst_positive_scale_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable))) + (((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) * S ((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) + ((dst_negative_scale_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)))) * S ((((dst_positive_code_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable)) * S ((dst_positive_code_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable)) + ((dst_positive_scale_mu_one_resulttable) + (dst_positive_scale_mu_one_resulttable))) + (((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) * S ((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) + ((dst_negative_scale_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)))) + ((((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) * S ((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) + ((dst_negative_scale_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable))) + (((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) * S ((dst_negative_code_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)) + ((dst_negative_scale_mu_one_resulttable) + (dst_negative_scale_mu_one_resulttable)))))) /\ (forall dst_index_mu_one_resulttable. (exists pvs_le_gap_mu_one_resulttabledomain. pvs_le_gap_mu_one_resulttabledomain + (dst_index_mu_one_resulttable) = (N)) -> exists dst_positive_mu_one_resulttable dst_negative_mu_one_resulttable dst_value_mu_one_resulttable. ((((exists ff_h_pvs_mu_one_resulttableentrypositive. ff_h_pvs_mu_one_resulttableentrypositive + S (dst_positive_mu_one_resulttable) = S ((S (dst_index_mu_one_resulttable)) * dst_positive_scale_mu_one_resulttable)) /\ exists ff_q_pvs_mu_one_resulttableentrypositive. dst_positive_code_mu_one_resulttable = ff_q_pvs_mu_one_resulttableentrypositive * S ((S (dst_index_mu_one_resulttable)) * dst_positive_scale_mu_one_resulttable) + (dst_positive_mu_one_resulttable))) /\ (((((exists ff_h_pvs_mu_one_resulttableentrynegative. ff_h_pvs_mu_one_resulttableentrynegative + S (dst_negative_mu_one_resulttable) = S ((S (dst_index_mu_one_resulttable)) * dst_negative_scale_mu_one_resulttable)) /\ exists ff_q_pvs_mu_one_resulttableentrynegative. dst_negative_code_mu_one_resulttable = ff_q_pvs_mu_one_resulttableentrynegative * S ((S (dst_index_mu_one_resulttable)) * dst_negative_scale_mu_one_resulttable) + (dst_negative_mu_one_resulttable))) /\ (exists ge_balance_positive_mu_one_resulttableentryvalue ge_balance_negative_mu_one_resulttableentryvalue. (((((dst_value_mu_one_resulttable) = 2 * (ge_balance_positive_mu_one_resulttableentryvalue) /\ (ge_balance_negative_mu_one_resulttableentryvalue) = 0) \/ exists ge_signed_half_mu_one_resulttableentryvaluedecode. (((dst_value_mu_one_resulttable) = 2 * ge_signed_half_mu_one_resulttableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_resulttableentryvalue) = 0) /\ (ge_balance_negative_mu_one_resulttableentryvalue) = S ge_signed_half_mu_one_resulttableentryvaluedecode))) /\ ((dst_positive_mu_one_resulttable) + ge_balance_negative_mu_one_resulttableentryvalue = (dst_negative_mu_one_resulttable) + ge_balance_positive_mu_one_resulttableentryvalue))))))))) /\ (forall dc_input_mu_one_result dc_output_mu_one_result. ~(dc_input_mu_one_result=0) -> (exists pvs_le_gap_mu_one_resultdomain. pvs_le_gap_mu_one_resultdomain + (dc_input_mu_one_result) = (N)) -> (exists dst_positive_code_mu_one_resultlookup dst_positive_scale_mu_one_resultlookup dst_negative_code_mu_one_resultlookup dst_negative_scale_mu_one_resultlookup dst_positive_mu_one_resultlookup dst_negative_mu_one_resultlookup. (((E) = (((((dst_positive_code_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup)) * S ((dst_positive_code_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup)) + ((dst_positive_scale_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup))) + (((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) * S ((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) + ((dst_negative_scale_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)))) * S ((((dst_positive_code_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup)) * S ((dst_positive_code_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup)) + ((dst_positive_scale_mu_one_resultlookup) + (dst_positive_scale_mu_one_resultlookup))) + (((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) * S ((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) + ((dst_negative_scale_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)))) + ((((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) * S ((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) + ((dst_negative_scale_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup))) + (((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) * S ((dst_negative_code_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)) + ((dst_negative_scale_mu_one_resultlookup) + (dst_negative_scale_mu_one_resultlookup)))))) /\ (((((exists ff_h_pvs_mu_one_resultlookuppositive. ff_h_pvs_mu_one_resultlookuppositive + S (dst_positive_mu_one_resultlookup) = S ((S (dc_input_mu_one_result)) * dst_positive_scale_mu_one_resultlookup)) /\ exists ff_q_pvs_mu_one_resultlookuppositive. dst_positive_code_mu_one_resultlookup = ff_q_pvs_mu_one_resultlookuppositive * S ((S (dc_input_mu_one_result)) * dst_positive_scale_mu_one_resultlookup) + (dst_positive_mu_one_resultlookup))) /\ (((((exists ff_h_pvs_mu_one_resultlookupnegative. ff_h_pvs_mu_one_resultlookupnegative + S (dst_negative_mu_one_resultlookup) = S ((S (dc_input_mu_one_result)) * dst_negative_scale_mu_one_resultlookup)) /\ exists ff_q_pvs_mu_one_resultlookupnegative. dst_negative_code_mu_one_resultlookup = ff_q_pvs_mu_one_resultlookupnegative * S ((S (dc_input_mu_one_result)) * dst_negative_scale_mu_one_resultlookup) + (dst_negative_mu_one_resultlookup))) /\ (exists ge_balance_positive_mu_one_resultlookupvalue ge_balance_negative_mu_one_resultlookupvalue. (((((dc_output_mu_one_result) = 2 * (ge_balance_positive_mu_one_resultlookupvalue) /\ (ge_balance_negative_mu_one_resultlookupvalue) = 0) \/ exists ge_signed_half_mu_one_resultlookupvaluedecode. (((dc_output_mu_one_result) = 2 * ge_signed_half_mu_one_resultlookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultlookupvalue) = 0) /\ (ge_balance_negative_mu_one_resultlookupvalue) = S ge_signed_half_mu_one_resultlookupvaluedecode))) /\ ((dst_positive_mu_one_resultlookup) + ge_balance_negative_mu_one_resultlookupvalue = (dst_negative_mu_one_resultlookup) + ge_balance_positive_mu_one_resultlookupvalue))))))))) -> (((~((dc_input_mu_one_result)=0)) /\ (exists dc_mask_mu_one_resultvalue. ((((exists dst_positive_code_mu_one_resultvaluemasktable dst_positive_scale_mu_one_resultvaluemasktable dst_negative_code_mu_one_resultvaluemasktable dst_negative_scale_mu_one_resultvaluemasktable. (((dc_mask_mu_one_resultvalue) = (((((dst_positive_code_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable)) * S ((dst_positive_code_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable)) + ((dst_positive_scale_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable))) + (((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) * S ((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) + ((dst_negative_scale_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)))) * S ((((dst_positive_code_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable)) * S ((dst_positive_code_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable)) + ((dst_positive_scale_mu_one_resultvaluemasktable) + (dst_positive_scale_mu_one_resultvaluemasktable))) + (((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) * S ((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) + ((dst_negative_scale_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)))) + ((((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) * S ((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) + ((dst_negative_scale_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable))) + (((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) * S ((dst_negative_code_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)) + ((dst_negative_scale_mu_one_resultvaluemasktable) + (dst_negative_scale_mu_one_resultvaluemasktable)))))) /\ (forall dst_index_mu_one_resultvaluemasktable. (exists pvs_le_gap_mu_one_resultvaluemasktabledomain. pvs_le_gap_mu_one_resultvaluemasktabledomain + (dst_index_mu_one_resultvaluemasktable) = (dc_input_mu_one_result)) -> exists dst_positive_mu_one_resultvaluemasktable dst_negative_mu_one_resultvaluemasktable dst_value_mu_one_resultvaluemasktable. ((((exists ff_h_pvs_mu_one_resultvaluemasktableentrypositive. ff_h_pvs_mu_one_resultvaluemasktableentrypositive + S (dst_positive_mu_one_resultvaluemasktable) = S ((S (dst_index_mu_one_resultvaluemasktable)) * dst_positive_scale_mu_one_resultvaluemasktable)) /\ exists ff_q_pvs_mu_one_resultvaluemasktableentrypositive. dst_positive_code_mu_one_resultvaluemasktable = ff_q_pvs_mu_one_resultvaluemasktableentrypositive * S ((S (dst_index_mu_one_resultvaluemasktable)) * dst_positive_scale_mu_one_resultvaluemasktable) + (dst_positive_mu_one_resultvaluemasktable))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemasktableentrynegative. ff_h_pvs_mu_one_resultvaluemasktableentrynegative + S (dst_negative_mu_one_resultvaluemasktable) = S ((S (dst_index_mu_one_resultvaluemasktable)) * dst_negative_scale_mu_one_resultvaluemasktable)) /\ exists ff_q_pvs_mu_one_resultvaluemasktableentrynegative. dst_negative_code_mu_one_resultvaluemasktable = ff_q_pvs_mu_one_resultvaluemasktableentrynegative * S ((S (dst_index_mu_one_resultvaluemasktable)) * dst_negative_scale_mu_one_resultvaluemasktable) + (dst_negative_mu_one_resultvaluemasktable))) /\ (exists ge_balance_positive_mu_one_resultvaluemasktableentryvalue ge_balance_negative_mu_one_resultvaluemasktableentryvalue. (((((dst_value_mu_one_resultvaluemasktable) = 2 * (ge_balance_positive_mu_one_resultvaluemasktableentryvalue) /\ (ge_balance_negative_mu_one_resultvaluemasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_resultvaluemasktableentryvaluedecode. (((dst_value_mu_one_resultvaluemasktable) = 2 * ge_signed_half_mu_one_resultvaluemasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultvaluemasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_resultvaluemasktableentryvalue) = S ge_signed_half_mu_one_resultvaluemasktableentryvaluedecode))) /\ ((dst_positive_mu_one_resultvaluemasktable) + ge_balance_negative_mu_one_resultvaluemasktableentryvalue = (dst_negative_mu_one_resultvaluemasktable) + ge_balance_positive_mu_one_resultvaluemasktableentryvalue))))))))) /\ (forall dc_index_mu_one_resultvaluemask dc_value_mu_one_resultvaluemask. (exists pvs_le_gap_mu_one_resultvaluemaskdomain. pvs_le_gap_mu_one_resultvaluemaskdomain + (dc_index_mu_one_resultvaluemask) = (dc_input_mu_one_result)) -> (exists dst_positive_code_mu_one_resultvaluemasklookup dst_positive_scale_mu_one_resultvaluemasklookup dst_negative_code_mu_one_resultvaluemasklookup dst_negative_scale_mu_one_resultvaluemasklookup dst_positive_mu_one_resultvaluemasklookup dst_negative_mu_one_resultvaluemasklookup. (((dc_mask_mu_one_resultvalue) = (((((dst_positive_code_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup)) * S ((dst_positive_code_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup)) + ((dst_positive_scale_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup))) + (((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) * S ((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) + ((dst_negative_scale_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)))) * S ((((dst_positive_code_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup)) * S ((dst_positive_code_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup)) + ((dst_positive_scale_mu_one_resultvaluemasklookup) + (dst_positive_scale_mu_one_resultvaluemasklookup))) + (((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) * S ((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) + ((dst_negative_scale_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)))) + ((((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) * S ((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) + ((dst_negative_scale_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup))) + (((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) * S ((dst_negative_code_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)) + ((dst_negative_scale_mu_one_resultvaluemasklookup) + (dst_negative_scale_mu_one_resultvaluemasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemasklookuppositive. ff_h_pvs_mu_one_resultvaluemasklookuppositive + S (dst_positive_mu_one_resultvaluemasklookup) = S ((S (dc_index_mu_one_resultvaluemask)) * dst_positive_scale_mu_one_resultvaluemasklookup)) /\ exists ff_q_pvs_mu_one_resultvaluemasklookuppositive. dst_positive_code_mu_one_resultvaluemasklookup = ff_q_pvs_mu_one_resultvaluemasklookuppositive * S ((S (dc_index_mu_one_resultvaluemask)) * dst_positive_scale_mu_one_resultvaluemasklookup) + (dst_positive_mu_one_resultvaluemasklookup))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemasklookupnegative. ff_h_pvs_mu_one_resultvaluemasklookupnegative + S (dst_negative_mu_one_resultvaluemasklookup) = S ((S (dc_index_mu_one_resultvaluemask)) * dst_negative_scale_mu_one_resultvaluemasklookup)) /\ exists ff_q_pvs_mu_one_resultvaluemasklookupnegative. dst_negative_code_mu_one_resultvaluemasklookup = ff_q_pvs_mu_one_resultvaluemasklookupnegative * S ((S (dc_index_mu_one_resultvaluemask)) * dst_negative_scale_mu_one_resultvaluemasklookup) + (dst_negative_mu_one_resultvaluemasklookup))) /\ (exists ge_balance_positive_mu_one_resultvaluemasklookupvalue ge_balance_negative_mu_one_resultvaluemasklookupvalue. (((((dc_value_mu_one_resultvaluemask) = 2 * (ge_balance_positive_mu_one_resultvaluemasklookupvalue) /\ (ge_balance_negative_mu_one_resultvaluemasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_resultvaluemasklookupvaluedecode. (((dc_value_mu_one_resultvaluemask) = 2 * ge_signed_half_mu_one_resultvaluemasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultvaluemasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_resultvaluemasklookupvalue) = S ge_signed_half_mu_one_resultvaluemasklookupvaluedecode))) /\ ((dst_positive_mu_one_resultvaluemasklookup) + ge_balance_negative_mu_one_resultvaluemasklookupvalue = (dst_negative_mu_one_resultvaluemasklookup) + ge_balance_positive_mu_one_resultvaluemasklookupvalue))))))))) -> ((((~((dc_index_mu_one_resultvaluemask)=0)) /\ (exists dc_quotient_mu_one_resultvaluemaskentry dc_left_mu_one_resultvaluemaskentry dc_right_mu_one_resultvaluemaskentry. (((dc_input_mu_one_result)=(dc_index_mu_one_resultvaluemask)*dc_quotient_mu_one_resultvaluemaskentry) /\ (((exists dst_positive_code_mu_one_resultvaluemaskentryleft dst_positive_scale_mu_one_resultvaluemaskentryleft dst_negative_code_mu_one_resultvaluemaskentryleft dst_negative_scale_mu_one_resultvaluemaskentryleft dst_positive_mu_one_resultvaluemaskentryleft dst_negative_mu_one_resultvaluemaskentryleft. (((M) = (((((dst_positive_code_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_positive_code_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft)) + ((dst_positive_scale_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft))) + (((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) + ((dst_negative_scale_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)))) * S ((((dst_positive_code_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_positive_code_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft)) + ((dst_positive_scale_mu_one_resultvaluemaskentryleft) + (dst_positive_scale_mu_one_resultvaluemaskentryleft))) + (((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) + ((dst_negative_scale_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)))) + ((((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) + ((dst_negative_scale_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft))) + (((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) * S ((dst_negative_code_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)) + ((dst_negative_scale_mu_one_resultvaluemaskentryleft) + (dst_negative_scale_mu_one_resultvaluemaskentryleft)))))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemaskentryleftpositive. ff_h_pvs_mu_one_resultvaluemaskentryleftpositive + S (dst_positive_mu_one_resultvaluemaskentryleft) = S ((S (dc_index_mu_one_resultvaluemask)) * dst_positive_scale_mu_one_resultvaluemaskentryleft)) /\ exists ff_q_pvs_mu_one_resultvaluemaskentryleftpositive. dst_positive_code_mu_one_resultvaluemaskentryleft = ff_q_pvs_mu_one_resultvaluemaskentryleftpositive * S ((S (dc_index_mu_one_resultvaluemask)) * dst_positive_scale_mu_one_resultvaluemaskentryleft) + (dst_positive_mu_one_resultvaluemaskentryleft))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemaskentryleftnegative. ff_h_pvs_mu_one_resultvaluemaskentryleftnegative + S (dst_negative_mu_one_resultvaluemaskentryleft) = S ((S (dc_index_mu_one_resultvaluemask)) * dst_negative_scale_mu_one_resultvaluemaskentryleft)) /\ exists ff_q_pvs_mu_one_resultvaluemaskentryleftnegative. dst_negative_code_mu_one_resultvaluemaskentryleft = ff_q_pvs_mu_one_resultvaluemaskentryleftnegative * S ((S (dc_index_mu_one_resultvaluemask)) * dst_negative_scale_mu_one_resultvaluemaskentryleft) + (dst_negative_mu_one_resultvaluemaskentryleft))) /\ (exists ge_balance_positive_mu_one_resultvaluemaskentryleftvalue ge_balance_negative_mu_one_resultvaluemaskentryleftvalue. (((((dc_left_mu_one_resultvaluemaskentry) = 2 * (ge_balance_positive_mu_one_resultvaluemaskentryleftvalue) /\ (ge_balance_negative_mu_one_resultvaluemaskentryleftvalue) = 0) \/ exists ge_signed_half_mu_one_resultvaluemaskentryleftvaluedecode. (((dc_left_mu_one_resultvaluemaskentry) = 2 * ge_signed_half_mu_one_resultvaluemaskentryleftvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultvaluemaskentryleftvalue) = 0) /\ (ge_balance_negative_mu_one_resultvaluemaskentryleftvalue) = S ge_signed_half_mu_one_resultvaluemaskentryleftvaluedecode))) /\ ((dst_positive_mu_one_resultvaluemaskentryleft) + ge_balance_negative_mu_one_resultvaluemaskentryleftvalue = (dst_negative_mu_one_resultvaluemaskentryleft) + ge_balance_positive_mu_one_resultvaluemaskentryleftvalue))))))))) /\ (((exists dst_positive_code_mu_one_resultvaluemaskentryright dst_positive_scale_mu_one_resultvaluemaskentryright dst_negative_code_mu_one_resultvaluemaskentryright dst_negative_scale_mu_one_resultvaluemaskentryright dst_positive_mu_one_resultvaluemaskentryright dst_negative_mu_one_resultvaluemaskentryright. (((U) = (((((dst_positive_code_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright)) * S ((dst_positive_code_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright)) + ((dst_positive_scale_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright))) + (((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) * S ((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) + ((dst_negative_scale_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)))) * S ((((dst_positive_code_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright)) * S ((dst_positive_code_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright)) + ((dst_positive_scale_mu_one_resultvaluemaskentryright) + (dst_positive_scale_mu_one_resultvaluemaskentryright))) + (((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) * S ((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) + ((dst_negative_scale_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)))) + ((((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) * S ((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) + ((dst_negative_scale_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright))) + (((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) * S ((dst_negative_code_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)) + ((dst_negative_scale_mu_one_resultvaluemaskentryright) + (dst_negative_scale_mu_one_resultvaluemaskentryright)))))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemaskentryrightpositive. ff_h_pvs_mu_one_resultvaluemaskentryrightpositive + S (dst_positive_mu_one_resultvaluemaskentryright) = S ((S (dc_quotient_mu_one_resultvaluemaskentry)) * dst_positive_scale_mu_one_resultvaluemaskentryright)) /\ exists ff_q_pvs_mu_one_resultvaluemaskentryrightpositive. dst_positive_code_mu_one_resultvaluemaskentryright = ff_q_pvs_mu_one_resultvaluemaskentryrightpositive * S ((S (dc_quotient_mu_one_resultvaluemaskentry)) * dst_positive_scale_mu_one_resultvaluemaskentryright) + (dst_positive_mu_one_resultvaluemaskentryright))) /\ (((((exists ff_h_pvs_mu_one_resultvaluemaskentryrightnegative. ff_h_pvs_mu_one_resultvaluemaskentryrightnegative + S (dst_negative_mu_one_resultvaluemaskentryright) = S ((S (dc_quotient_mu_one_resultvaluemaskentry)) * dst_negative_scale_mu_one_resultvaluemaskentryright)) /\ exists ff_q_pvs_mu_one_resultvaluemaskentryrightnegative. dst_negative_code_mu_one_resultvaluemaskentryright = ff_q_pvs_mu_one_resultvaluemaskentryrightnegative * S ((S (dc_quotient_mu_one_resultvaluemaskentry)) * dst_negative_scale_mu_one_resultvaluemaskentryright) + (dst_negative_mu_one_resultvaluemaskentryright))) /\ (exists ge_balance_positive_mu_one_resultvaluemaskentryrightvalue ge_balance_negative_mu_one_resultvaluemaskentryrightvalue. (((((dc_right_mu_one_resultvaluemaskentry) = 2 * (ge_balance_positive_mu_one_resultvaluemaskentryrightvalue) /\ (ge_balance_negative_mu_one_resultvaluemaskentryrightvalue) = 0) \/ exists ge_signed_half_mu_one_resultvaluemaskentryrightvaluedecode. (((dc_right_mu_one_resultvaluemaskentry) = 2 * ge_signed_half_mu_one_resultvaluemaskentryrightvaluedecode + 1 /\ (ge_balance_positive_mu_one_resultvaluemaskentryrightvalue) = 0) /\ (ge_balance_negative_mu_one_resultvaluemaskentryrightvalue) = S ge_signed_half_mu_one_resultvaluemaskentryrightvaluedecode))) /\ ((dst_positive_mu_one_resultvaluemaskentryright) + ge_balance_negative_mu_one_resultvaluemaskentryrightvalue = (dst_negative_mu_one_resultvaluemaskentryright) + ge_balance_positive_mu_one_resultvaluemaskentryrightvalue))))))))) /\ (exists sto_ap_mu_one_resultvaluemaskentryproduct sto_an_mu_one_resultvaluemaskentryproduct sto_bp_mu_one_resultvaluemaskentryproduct sto_bn_mu_one_resultvaluemaskentryproduct sto_cp_mu_one_resultvaluemaskentryproduct sto_cn_mu_one_resultvaluemaskentryproduct. (((((dc_left_mu_one_resultvaluemaskentry) = 2 * (sto_ap_mu_one_resultvaluemaskentryproduct) /\ (sto_an_mu_one_resultvaluemaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_resultvaluemaskentryproductleft. (((dc_left_mu_one_resultvaluemaskentry) = 2 * ge_signed_half_mu_one_resultvaluemaskentryproductleft + 1 /\ (sto_ap_mu_one_resultvaluemaskentryproduct) = 0) /\ (sto_an_mu_one_resultvaluemaskentryproduct) = S ge_signed_half_mu_one_resultvaluemaskentryproductleft))) /\ ((((((dc_right_mu_one_resultvaluemaskentry) = 2 * (sto_bp_mu_one_resultvaluemaskentryproduct) /\ (sto_bn_mu_one_resultvaluemaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_resultvaluemaskentryproductright. (((dc_right_mu_one_resultvaluemaskentry) = 2 * ge_signed_half_mu_one_resultvaluemaskentryproductright + 1 /\ (sto_bp_mu_one_resultvaluemaskentryproduct) = 0) /\ (sto_bn_mu_one_resultvaluemaskentryproduct) = S ge_signed_half_mu_one_resultvaluemaskentryproductright))) /\ ((((((dc_value_mu_one_resultvaluemask) = 2 * (sto_cp_mu_one_resultvaluemaskentryproduct) /\ (sto_cn_mu_one_resultvaluemaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_resultvaluemaskentryproductoutput. (((dc_value_mu_one_resultvaluemask) = 2 * ge_signed_half_mu_one_resultvaluemaskentryproductoutput + 1 /\ (sto_cp_mu_one_resultvaluemaskentryproduct) = 0) /\ (sto_cn_mu_one_resultvaluemaskentryproduct) = S ge_signed_half_mu_one_resultvaluemaskentryproductoutput))) /\ ((sto_ap_mu_one_resultvaluemaskentryproduct * sto_bp_mu_one_resultvaluemaskentryproduct + sto_an_mu_one_resultvaluemaskentryproduct * sto_bn_mu_one_resultvaluemaskentryproduct) + sto_cn_mu_one_resultvaluemaskentryproduct = (sto_ap_mu_one_resultvaluemaskentryproduct * sto_bn_mu_one_resultvaluemaskentryproduct + sto_an_mu_one_resultvaluemaskentryproduct * sto_bp_mu_one_resultvaluemaskentryproduct) + sto_cp_mu_one_resultvaluemaskentryproduct))))))))))))))) \/ ((((dc_index_mu_one_resultvaluemask)=0 \/ ~(exists pvs_factor_mu_one_resultvaluemaskentrynondivisor. (dc_input_mu_one_result) = (dc_index_mu_one_resultvaluemask) * pvs_factor_mu_one_resultvaluemaskentrynondivisor)) /\ ((dc_value_mu_one_resultvaluemask)=0))))))) /\ (exists dst_positive_code_mu_one_resultvaluefold dst_positive_scale_mu_one_resultvaluefold dst_negative_code_mu_one_resultvaluefold dst_negative_scale_mu_one_resultvaluefold dst_positive_sum_mu_one_resultvaluefold dst_negative_sum_mu_one_resultvaluefold. (((dc_mask_mu_one_resultvalue) = (((((dst_positive_code_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold)) * S ((dst_positive_code_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold)) + ((dst_positive_scale_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold))) + (((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) * S ((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) + ((dst_negative_scale_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)))) * S ((((dst_positive_code_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold)) * S ((dst_positive_code_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold)) + ((dst_positive_scale_mu_one_resultvaluefold) + (dst_positive_scale_mu_one_resultvaluefold))) + (((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) * S ((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) + ((dst_negative_scale_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)))) + ((((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) * S ((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) + ((dst_negative_scale_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold))) + (((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) * S ((dst_negative_code_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)) + ((dst_negative_scale_mu_one_resultvaluefold) + (dst_negative_scale_mu_one_resultvaluefold)))))) /\ (((exists fs_u_dst_mu_one_resultvaluefoldpositive fs_v_dst_mu_one_resultvaluefoldpositive. ((((exists fs_h_dst_mu_one_resultvaluefoldpositive_body_start. fs_h_dst_mu_one_resultvaluefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_resultvaluefoldpositive)) /\ exists fs_q_dst_mu_one_resultvaluefoldpositive_body_start. fs_u_dst_mu_one_resultvaluefoldpositive = fs_q_dst_mu_one_resultvaluefoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_resultvaluefoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldpositive_body_terminal. fs_h_dst_mu_one_resultvaluefoldpositive_body_terminal + S (dst_positive_sum_mu_one_resultvaluefold) = S ((S (S (dc_input_mu_one_result))) * fs_v_dst_mu_one_resultvaluefoldpositive)) /\ exists fs_q_dst_mu_one_resultvaluefoldpositive_body_terminal. fs_u_dst_mu_one_resultvaluefoldpositive = fs_q_dst_mu_one_resultvaluefoldpositive_body_terminal * S ((S (S (dc_input_mu_one_result))) * fs_v_dst_mu_one_resultvaluefoldpositive) + (dst_positive_sum_mu_one_resultvaluefold))) /\ forall fs_i_dst_mu_one_resultvaluefoldpositive_body_steps. (exists fs_lt_dst_mu_one_resultvaluefoldpositive_body_steps_bound. fs_lt_dst_mu_one_resultvaluefoldpositive_body_steps_bound + S fs_i_dst_mu_one_resultvaluefoldpositive_body_steps = S (dc_input_mu_one_result)) -> exists fs_a_dst_mu_one_resultvaluefoldpositive_body_steps fs_r_dst_mu_one_resultvaluefoldpositive_body_steps fs_s_dst_mu_one_resultvaluefoldpositive_body_steps. ((((exists fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_summand. fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_summand + S (fs_a_dst_mu_one_resultvaluefoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * dst_positive_scale_mu_one_resultvaluefold)) /\ exists fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_summand. dst_positive_code_mu_one_resultvaluefold = fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * dst_positive_scale_mu_one_resultvaluefold) + (fs_a_dst_mu_one_resultvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_partial. fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_partial + S (fs_r_dst_mu_one_resultvaluefoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * fs_v_dst_mu_one_resultvaluefoldpositive)) /\ exists fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_partial. fs_u_dst_mu_one_resultvaluefoldpositive = fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * fs_v_dst_mu_one_resultvaluefoldpositive) + (fs_r_dst_mu_one_resultvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_successor. fs_h_dst_mu_one_resultvaluefoldpositive_body_steps_successor + S (fs_s_dst_mu_one_resultvaluefoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * fs_v_dst_mu_one_resultvaluefoldpositive)) /\ exists fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_successor. fs_u_dst_mu_one_resultvaluefoldpositive = fs_q_dst_mu_one_resultvaluefoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_resultvaluefoldpositive_body_steps)) * fs_v_dst_mu_one_resultvaluefoldpositive) + (fs_s_dst_mu_one_resultvaluefoldpositive_body_steps))) /\ fs_s_dst_mu_one_resultvaluefoldpositive_body_steps = fs_r_dst_mu_one_resultvaluefoldpositive_body_steps + fs_a_dst_mu_one_resultvaluefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_resultvaluefoldnegative fs_v_dst_mu_one_resultvaluefoldnegative. ((((exists fs_h_dst_mu_one_resultvaluefoldnegative_body_start. fs_h_dst_mu_one_resultvaluefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_resultvaluefoldnegative)) /\ exists fs_q_dst_mu_one_resultvaluefoldnegative_body_start. fs_u_dst_mu_one_resultvaluefoldnegative = fs_q_dst_mu_one_resultvaluefoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_resultvaluefoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldnegative_body_terminal. fs_h_dst_mu_one_resultvaluefoldnegative_body_terminal + S (dst_negative_sum_mu_one_resultvaluefold) = S ((S (S (dc_input_mu_one_result))) * fs_v_dst_mu_one_resultvaluefoldnegative)) /\ exists fs_q_dst_mu_one_resultvaluefoldnegative_body_terminal. fs_u_dst_mu_one_resultvaluefoldnegative = fs_q_dst_mu_one_resultvaluefoldnegative_body_terminal * S ((S (S (dc_input_mu_one_result))) * fs_v_dst_mu_one_resultvaluefoldnegative) + (dst_negative_sum_mu_one_resultvaluefold))) /\ forall fs_i_dst_mu_one_resultvaluefoldnegative_body_steps. (exists fs_lt_dst_mu_one_resultvaluefoldnegative_body_steps_bound. fs_lt_dst_mu_one_resultvaluefoldnegative_body_steps_bound + S fs_i_dst_mu_one_resultvaluefoldnegative_body_steps = S (dc_input_mu_one_result)) -> exists fs_a_dst_mu_one_resultvaluefoldnegative_body_steps fs_r_dst_mu_one_resultvaluefoldnegative_body_steps fs_s_dst_mu_one_resultvaluefoldnegative_body_steps. ((((exists fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_summand. fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_summand + S (fs_a_dst_mu_one_resultvaluefoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * dst_negative_scale_mu_one_resultvaluefold)) /\ exists fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_summand. dst_negative_code_mu_one_resultvaluefold = fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * dst_negative_scale_mu_one_resultvaluefold) + (fs_a_dst_mu_one_resultvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_partial. fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_partial + S (fs_r_dst_mu_one_resultvaluefoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * fs_v_dst_mu_one_resultvaluefoldnegative)) /\ exists fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_partial. fs_u_dst_mu_one_resultvaluefoldnegative = fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * fs_v_dst_mu_one_resultvaluefoldnegative) + (fs_r_dst_mu_one_resultvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_successor. fs_h_dst_mu_one_resultvaluefoldnegative_body_steps_successor + S (fs_s_dst_mu_one_resultvaluefoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * fs_v_dst_mu_one_resultvaluefoldnegative)) /\ exists fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_successor. fs_u_dst_mu_one_resultvaluefoldnegative = fs_q_dst_mu_one_resultvaluefoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_resultvaluefoldnegative_body_steps)) * fs_v_dst_mu_one_resultvaluefoldnegative) + (fs_s_dst_mu_one_resultvaluefoldnegative_body_steps))) /\ fs_s_dst_mu_one_resultvaluefoldnegative_body_steps = fs_r_dst_mu_one_resultvaluefoldnegative_body_steps + fs_a_dst_mu_one_resultvaluefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_resultvaluefoldresult ge_balance_negative_mu_one_resultvaluefoldresult. (((((dc_output_mu_one_result) = 2 * (ge_balance_positive_mu_one_resultvaluefoldresult) /\ (ge_balance_negative_mu_one_resultvaluefoldresult) = 0) \/ exists ge_signed_half_mu_one_resultvaluefoldresultdecode. (((dc_output_mu_one_result) = 2 * ge_signed_half_mu_one_resultvaluefoldresultdecode + 1 /\ (ge_balance_positive_mu_one_resultvaluefoldresult) = 0) /\ (ge_balance_negative_mu_one_resultvaluefoldresult) = S ge_signed_half_mu_one_resultvaluefoldresultdecode))) /\ ((dst_positive_sum_mu_one_resultvaluefold) + ge_balance_negative_mu_one_resultvaluefoldresult = (dst_negative_sum_mu_one_resultvaluefold) + ge_balance_positive_mu_one_resultvaluefoldresult))))))))))))))))))))

Constructive proof overview

Generated structural guide

The previously proved prime-toggle cancellation identifies the actual convolution of independently defined Möbius values and constant one with every actual delta table.

The unchanged tactic script uses 3 declared prerequisites and contains 69 exact native proof lines.

Alpha v34 checked-use · first admitted v31 · independently kernel and Lean verified; not Stable

Proof neighborhood

Direct dependencies

dirichlet_constant_one_sum_iff Alpha theorem; checked-use authorized mobius_divisor_sum_cancellation Alpha theorem; checked-use authorized eq_decidable Stable theorem; checked-use authorized

Direct dependents

Formal native tactic body

Dependencies are introduced as named hypotheses before line 1. Local theorem links identify exact declared prerequisites. This exact body belongs to a complete independently kernel-checked constructive proof bundle and has Alpha checked-use authority; it does not imply Stable membership.

Read the argument

Proof checkpoints

69 script commands · 22 reading checkpoints · 4 local claims

This is a reading aid, not a new proof or a proof-tree certificate. Checkpoint groups are consecutive commands, not inferred branch boundaries. Every step links to the preserved script.

Long local formulas use this family’s existing definitions. Each new abbreviation was expanded back to the identical native formula, including its free-variable context. The original edition is preserved below.

01Fix variables and assumptionsL1–7

Work with arbitrary variables or the premises of the current implication.

  1. L1
    intro N
  2. L2
    intro M
  3. L3
    intro U
  4. L4
    intro E
  5. L5
    intro hM
  6. L6
    intro hU
  7. L7
    intro hE
02Separate the logical casesL8–12

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L8
    cases hM
  2. L9
    cases hM_right
  3. L10
    cases hU
  4. L11
    cases hE
  5. L12
    split
03Use earlier factsL13–13

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L13
    exact hM_left
04Separate the logical casesL14–14

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L14
    split
05Use earlier factsL15–15

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L15
    exact hU_left
06Separate the logical casesL16–16

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L16
    split
07Use earlier factsL17–17

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L17
    exact hE_left
08Fix variables and assumptionsL18–22

Work with arbitrary variables or the premises of the current implication.

  1. L18
    intro n
  2. L19
    intro z
  3. L20
    intro hn
  4. L21
    intro hbound
  5. L22
    intro hz
09Establish hiL23–32

Establish this local claim before using it. It is not an additional assumption. The following proof commands apply dirichlet constant one sum iff.

  1. L23
    have hi : (DirichletSum(M,U,n,z) → DivisorSum(M,n,z)) ∧ (DivisorSum(M,n,z) → DirichletSum(M,U,n,z))Definitions: DivisorSumDirichletSum
  2. L24
    specialize dirichlet_constant_one_sum_iff (N)
  3. L25
    specialize dirichlet_constant_one_sum_iff (M)
  4. L26
    specialize dirichlet_constant_one_sum_iff (U)
  5. L27
    specialize dirichlet_constant_one_sum_iff (n)
  6. L28
    specialize dirichlet_constant_one_sum_iff (z)
  7. L29
    apply dirichlet_constant_one_sum_iff
  8. L30
    exact hM_left
  9. L31
    exact hU
  10. L32
    exact hn
10Use earlier factsL33–33

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L33
    exact hbound
11Separate the logical casesL34–34

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L34
    cases hi
12Use earlier factsL35–35

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L35
    apply hi_right
13Establish hcL36–44

Establish this local claim before using it. It is not an additional assumption. The following proof commands apply mobius divisor sum cancellation.

  1. L36
    have hc : (DivisorSum(M,n,z) → n = 1 ∧ z = 2 ∨ ¬n = 1 ∧ z = 0) ∧ (n = 1 ∧ z = 2 ∨ ¬n = 1 ∧ z = 0 → DivisorSum(M,n,z))Definitions: DivisorSum
  2. L37
    specialize mobius_divisor_sum_cancellation (N)
  3. L38
    specialize mobius_divisor_sum_cancellation (M)
  4. L39
    specialize mobius_divisor_sum_cancellation (n)
  5. L40
    specialize mobius_divisor_sum_cancellation (z)
  6. L41
    apply mobius_divisor_sum_cancellation
  7. L42
    exact hM
  8. L43
    exact hn
  9. L44
    exact hbound
14Separate the logical casesL45–45

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L45
    cases hc
15Use earlier factsL46–46

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L46
    apply hc_right
16Establish hvL47–53

Establish this local claim before using it. It is not an additional assumption. The following proof commands apply hE right.

  1. L47
    have hv : (((n)=1 -> (z)=2) /\ (~((n)=1) -> (z)=0))
  2. L48
    specialize hE_right (n)
  3. L49
    specialize hE_right (z)
  4. L50
    apply hE_right
  5. L51
    exact hn
  6. L52
    exact hbound
  7. L53
    exact hz
17Separate the logical casesL54–54

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L54
    cases hv
18Establish heqL55–58

Establish this local claim before using it. It is not an additional assumption. The following proof commands apply eq decidable.

  1. L55
    have heq : n=1 \/ ~(n=1)
  2. L56
    specialize eq_decidable (n)
  3. L57
    specialize eq_decidable (1)
  4. L58
    apply eq_decidable
19Separate the logical casesL59–61

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L59
    cases heq
  2. L60
    left
  3. L61
    split
20Use earlier factsL62–64

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L62
    exact heq_left
  2. L63
    apply hv_left
  3. L64
    exact heq_left
21Separate the logical casesL65–66

Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.

  1. L65
    right
  2. L66
    split
22Use earlier factsL67–69

Instantiate or apply named facts and discharge the corresponding proof obligations.

  1. L67
    exact heq_right
  2. L68
    apply hv_right
  3. L69
    exact heq_right

Library-wide reading audit

Original exact command ledger · 69 lines
  1. 0001intro N
  2. 0002intro M
  3. 0003intro U
  4. 0004intro E
  5. 0005intro hM
  6. 0006intro hU
  7. 0007intro hE
  8. 0008cases hM
  9. 0009cases hM_right
  10. 0010cases hU
  11. 0011cases hE
  12. 0012split
  13. 0013exact hM_left
  14. 0014split
  15. 0015exact hU_left
  16. 0016split
  17. 0017exact hE_left
  18. 0018intro n
  19. 0019intro z
  20. 0020intro hn
  21. 0021intro hbound
  22. 0022intro hz
  23. 0023have hi : (((((~((n)=0)) /\ (exists dc_mask_mu_one_sum_iffconvolution. ((((exists dst_positive_code_mu_one_sum_iffconvolutionmasktable dst_positive_scale_mu_one_sum_iffconvolutionmasktable dst_negative_code_mu_one_sum_iffconvolutionmasktable dst_negative_scale_mu_one_sum_iffconvolutionmasktable. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))))) /\ (forall dst_index_mu_one_sum_iffconvolutionmasktable. (exists pvs_le_gap_mu_one_sum_iffconvolutionmasktabledomain. pvs_le_gap_mu_one_sum_iffconvolutionmasktabledomain + (dst_index_mu_one_sum_iffconvolutionmasktable) = (n)) -> exists dst_positive_mu_one_sum_iffconvolutionmasktable dst_negative_mu_one_sum_iffconvolutionmasktable dst_value_mu_one_sum_iffconvolutionmasktable. ((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrypositive. ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrypositive + S (dst_positive_mu_one_sum_iffconvolutionmasktable) = S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrypositive. dst_positive_code_mu_one_sum_iffconvolutionmasktable = ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrypositive * S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_mu_one_sum_iffconvolutionmasktable))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrynegative. ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrynegative + S (dst_negative_mu_one_sum_iffconvolutionmasktable) = S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrynegative. dst_negative_code_mu_one_sum_iffconvolutionmasktable = ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrynegative * S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_mu_one_sum_iffconvolutionmasktable))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue. (((((dst_value_mu_one_sum_iffconvolutionmasktable) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode. (((dst_value_mu_one_sum_iffconvolutionmasktable) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmasktable) + ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue = (dst_negative_mu_one_sum_iffconvolutionmasktable) + ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue))))))))) /\ (forall dc_index_mu_one_sum_iffconvolutionmask dc_value_mu_one_sum_iffconvolutionmask. (exists pvs_le_gap_mu_one_sum_iffconvolutionmaskdomain. pvs_le_gap_mu_one_sum_iffconvolutionmaskdomain + (dc_index_mu_one_sum_iffconvolutionmask) = (n)) -> (exists dst_positive_code_mu_one_sum_iffconvolutionmasklookup dst_positive_scale_mu_one_sum_iffconvolutionmasklookup dst_negative_code_mu_one_sum_iffconvolutionmasklookup dst_negative_scale_mu_one_sum_iffconvolutionmasklookup dst_positive_mu_one_sum_iffconvolutionmasklookup dst_negative_mu_one_sum_iffconvolutionmasklookup. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasklookuppositive. ff_h_pvs_mu_one_sum_iffconvolutionmasklookuppositive + S (dst_positive_mu_one_sum_iffconvolutionmasklookup) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasklookuppositive. dst_positive_code_mu_one_sum_iffconvolutionmasklookup = ff_q_pvs_mu_one_sum_iffconvolutionmasklookuppositive * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_mu_one_sum_iffconvolutionmasklookup))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasklookupnegative. ff_h_pvs_mu_one_sum_iffconvolutionmasklookupnegative + S (dst_negative_mu_one_sum_iffconvolutionmasklookup) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasklookupnegative. dst_negative_code_mu_one_sum_iffconvolutionmasklookup = ff_q_pvs_mu_one_sum_iffconvolutionmasklookupnegative * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_mu_one_sum_iffconvolutionmasklookup))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue. (((((dc_value_mu_one_sum_iffconvolutionmask) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode. (((dc_value_mu_one_sum_iffconvolutionmask) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmasklookup) + ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue = (dst_negative_mu_one_sum_iffconvolutionmasklookup) + ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue))))))))) -> ((((~((dc_index_mu_one_sum_iffconvolutionmask)=0)) /\ (exists dc_quotient_mu_one_sum_iffconvolutionmaskentry dc_left_mu_one_sum_iffconvolutionmaskentry dc_right_mu_one_sum_iffconvolutionmaskentry. (((n)=(dc_index_mu_one_sum_iffconvolutionmask)*dc_quotient_mu_one_sum_iffconvolutionmaskentry) /\ (((exists dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft dst_positive_mu_one_sum_iffconvolutionmaskentryleft dst_negative_mu_one_sum_iffconvolutionmaskentryleft. (((M) = (((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive + S (dst_positive_mu_one_sum_iffconvolutionmaskentryleft) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive. dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_mu_one_sum_iffconvolutionmaskentryleft))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative + S (dst_negative_mu_one_sum_iffconvolutionmaskentryleft) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative. dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_mu_one_sum_iffconvolutionmaskentryleft))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue. (((((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode. (((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmaskentryleft) + ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue = (dst_negative_mu_one_sum_iffconvolutionmaskentryleft) + ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue))))))))) /\ (((exists dst_positive_code_mu_one_sum_iffconvolutionmaskentryright dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright dst_negative_code_mu_one_sum_iffconvolutionmaskentryright dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright dst_positive_mu_one_sum_iffconvolutionmaskentryright dst_negative_mu_one_sum_iffconvolutionmaskentryright. (((U) = (((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive + S (dst_positive_mu_one_sum_iffconvolutionmaskentryright) = S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive. dst_positive_code_mu_one_sum_iffconvolutionmaskentryright = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive * S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_mu_one_sum_iffconvolutionmaskentryright))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative + S (dst_negative_mu_one_sum_iffconvolutionmaskentryright) = S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative. dst_negative_code_mu_one_sum_iffconvolutionmaskentryright = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative * S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_mu_one_sum_iffconvolutionmaskentryright))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue. (((((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode. (((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmaskentryright) + ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue = (dst_negative_mu_one_sum_iffconvolutionmaskentryright) + ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue))))))))) /\ (exists sto_ap_mu_one_sum_iffconvolutionmaskentryproduct sto_an_mu_one_sum_iffconvolutionmaskentryproduct sto_bp_mu_one_sum_iffconvolutionmaskentryproduct sto_bn_mu_one_sum_iffconvolutionmaskentryproduct sto_cp_mu_one_sum_iffconvolutionmaskentryproduct sto_cn_mu_one_sum_iffconvolutionmaskentryproduct. (((((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_an_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft. (((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft + 1 /\ (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_an_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft))) /\ ((((((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * (sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright. (((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright + 1 /\ (sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright))) /\ ((((((dc_value_mu_one_sum_iffconvolutionmask) = 2 * (sto_cp_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_cn_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput. (((dc_value_mu_one_sum_iffconvolutionmask) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput + 1 /\ (sto_cp_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_cn_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput))) /\ ((sto_ap_mu_one_sum_iffconvolutionmaskentryproduct * sto_bp_mu_one_sum_iffconvolutionmaskentryproduct + sto_an_mu_one_sum_iffconvolutionmaskentryproduct * sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) + sto_cn_mu_one_sum_iffconvolutionmaskentryproduct = (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct * sto_bn_mu_one_sum_iffconvolutionmaskentryproduct + sto_an_mu_one_sum_iffconvolutionmaskentryproduct * sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) + sto_cp_mu_one_sum_iffconvolutionmaskentryproduct))))))))))))))) \/ ((((dc_index_mu_one_sum_iffconvolutionmask)=0 \/ ~(exists pvs_factor_mu_one_sum_iffconvolutionmaskentrynondivisor. (n) = (dc_index_mu_one_sum_iffconvolutionmask) * pvs_factor_mu_one_sum_iffconvolutionmaskentrynondivisor)) /\ ((dc_value_mu_one_sum_iffconvolutionmask)=0))))))) /\ (exists dst_positive_code_mu_one_sum_iffconvolutionfold dst_positive_scale_mu_one_sum_iffconvolutionfold dst_negative_code_mu_one_sum_iffconvolutionfold dst_negative_scale_mu_one_sum_iffconvolutionfold dst_positive_sum_mu_one_sum_iffconvolutionfold dst_negative_sum_mu_one_sum_iffconvolutionfold. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) + ((dst_positive_scale_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) + ((dst_positive_scale_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))))) /\ (((exists fs_u_dst_mu_one_sum_iffconvolutionfoldpositive fs_v_dst_mu_one_sum_iffconvolutionfoldpositive. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_start. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_start. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal + S (dst_positive_sum_mu_one_sum_iffconvolutionfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (dst_positive_sum_mu_one_sum_iffconvolutionfold))) /\ forall fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps. (exists fs_lt_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_bound. fs_lt_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_bound + S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand + S (fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffconvolutionfold)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand. dst_positive_code_mu_one_sum_iffconvolutionfold = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffconvolutionfold) + (fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial + S (fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor + S (fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps = fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps + fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_sum_iffconvolutionfoldnegative fs_v_dst_mu_one_sum_iffconvolutionfoldnegative. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_start. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_start. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal + S (dst_negative_sum_mu_one_sum_iffconvolutionfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (dst_negative_sum_mu_one_sum_iffconvolutionfold))) /\ forall fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps. (exists fs_lt_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_bound. fs_lt_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_bound + S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand + S (fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffconvolutionfold)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand. dst_negative_code_mu_one_sum_iffconvolutionfold = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffconvolutionfold) + (fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial + S (fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor + S (fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps = fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps + fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionfoldresult ge_balance_negative_mu_one_sum_iffconvolutionfoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionfoldresult) /\ (ge_balance_negative_mu_one_sum_iffconvolutionfoldresult) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionfoldresult) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionfoldresult) = S ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode))) /\ ((dst_positive_sum_mu_one_sum_iffconvolutionfold) + ge_balance_negative_mu_one_sum_iffconvolutionfoldresult = (dst_negative_sum_mu_one_sum_iffconvolutionfold) + ge_balance_positive_mu_one_sum_iffconvolutionfoldresult))))))))))))) -> (((~((n)=0)) /\ (exists dm_mask_table_mu_one_sum_iffdivisor. ((((exists dst_positive_code_mu_one_sum_iffdivisormasktable dst_positive_scale_mu_one_sum_iffdivisormasktable dst_negative_code_mu_one_sum_iffdivisormasktable dst_negative_scale_mu_one_sum_iffdivisormasktable. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) + ((dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) + ((dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))) + ((((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))))) /\ (forall dst_index_mu_one_sum_iffdivisormasktable. (exists pvs_le_gap_mu_one_sum_iffdivisormasktabledomain. pvs_le_gap_mu_one_sum_iffdivisormasktabledomain + (dst_index_mu_one_sum_iffdivisormasktable) = (n)) -> exists dst_positive_mu_one_sum_iffdivisormasktable dst_negative_mu_one_sum_iffdivisormasktable dst_value_mu_one_sum_iffdivisormasktable. ((((exists ff_h_pvs_mu_one_sum_iffdivisormasktableentrypositive. ff_h_pvs_mu_one_sum_iffdivisormasktableentrypositive + S (dst_positive_mu_one_sum_iffdivisormasktable) = S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_positive_scale_mu_one_sum_iffdivisormasktable)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasktableentrypositive. dst_positive_code_mu_one_sum_iffdivisormasktable = ff_q_pvs_mu_one_sum_iffdivisormasktableentrypositive * S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_mu_one_sum_iffdivisormasktable))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasktableentrynegative. ff_h_pvs_mu_one_sum_iffdivisormasktableentrynegative + S (dst_negative_mu_one_sum_iffdivisormasktable) = S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_negative_scale_mu_one_sum_iffdivisormasktable)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasktableentrynegative. dst_negative_code_mu_one_sum_iffdivisormasktable = ff_q_pvs_mu_one_sum_iffdivisormasktableentrynegative * S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_mu_one_sum_iffdivisormasktable))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue. (((((dst_value_mu_one_sum_iffdivisormasktable) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode. (((dst_value_mu_one_sum_iffdivisormasktable) = 2 * ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue) = S ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormasktable) + ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue = (dst_negative_mu_one_sum_iffdivisormasktable) + ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue))))))))) /\ (forall dm_index_mu_one_sum_iffdivisormask dm_value_mu_one_sum_iffdivisormask. (exists pvs_le_gap_mu_one_sum_iffdivisormaskdomain. pvs_le_gap_mu_one_sum_iffdivisormaskdomain + (dm_index_mu_one_sum_iffdivisormask) = (n)) -> (exists dst_positive_code_mu_one_sum_iffdivisormasklookup dst_positive_scale_mu_one_sum_iffdivisormasklookup dst_negative_code_mu_one_sum_iffdivisormasklookup dst_negative_scale_mu_one_sum_iffdivisormasklookup dst_positive_mu_one_sum_iffdivisormasklookup dst_negative_mu_one_sum_iffdivisormasklookup. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))) + ((((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasklookuppositive. ff_h_pvs_mu_one_sum_iffdivisormasklookuppositive + S (dst_positive_mu_one_sum_iffdivisormasklookup) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasklookuppositive. dst_positive_code_mu_one_sum_iffdivisormasklookup = ff_q_pvs_mu_one_sum_iffdivisormasklookuppositive * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_mu_one_sum_iffdivisormasklookup))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasklookupnegative. ff_h_pvs_mu_one_sum_iffdivisormasklookupnegative + S (dst_negative_mu_one_sum_iffdivisormasklookup) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasklookupnegative. dst_negative_code_mu_one_sum_iffdivisormasklookup = ff_q_pvs_mu_one_sum_iffdivisormasklookupnegative * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_mu_one_sum_iffdivisormasklookup))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue. (((((dm_value_mu_one_sum_iffdivisormask) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode. (((dm_value_mu_one_sum_iffdivisormask) = 2 * ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue) = S ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormasklookup) + ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue = (dst_negative_mu_one_sum_iffdivisormasklookup) + ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue))))))))) -> ((((~((dm_index_mu_one_sum_iffdivisormask)=0)) /\ (exists dm_quotient_mu_one_sum_iffdivisormaskentry. (((n)=(dm_index_mu_one_sum_iffdivisormask)*dm_quotient_mu_one_sum_iffdivisormaskentry) /\ (exists dst_positive_code_mu_one_sum_iffdivisormaskentryinput dst_positive_scale_mu_one_sum_iffdivisormaskentryinput dst_negative_code_mu_one_sum_iffdivisormaskentryinput dst_negative_scale_mu_one_sum_iffdivisormaskentryinput dst_positive_mu_one_sum_iffdivisormaskentryinput dst_negative_mu_one_sum_iffdivisormaskentryinput. (((M) = (((((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))) + ((((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormaskentryinputpositive. ff_h_pvs_mu_one_sum_iffdivisormaskentryinputpositive + S (dst_positive_mu_one_sum_iffdivisormaskentryinput) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormaskentryinputpositive. dst_positive_code_mu_one_sum_iffdivisormaskentryinput = ff_q_pvs_mu_one_sum_iffdivisormaskentryinputpositive * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_mu_one_sum_iffdivisormaskentryinput))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormaskentryinputnegative. ff_h_pvs_mu_one_sum_iffdivisormaskentryinputnegative + S (dst_negative_mu_one_sum_iffdivisormaskentryinput) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormaskentryinputnegative. dst_negative_code_mu_one_sum_iffdivisormaskentryinput = ff_q_pvs_mu_one_sum_iffdivisormaskentryinputnegative * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_mu_one_sum_iffdivisormaskentryinput))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue. (((((dm_value_mu_one_sum_iffdivisormask) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode. (((dm_value_mu_one_sum_iffdivisormask) = 2 * ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue) = S ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormaskentryinput) + ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue = (dst_negative_mu_one_sum_iffdivisormaskentryinput) + ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue))))))))))))) \/ ((((dm_index_mu_one_sum_iffdivisormask)=0 \/ ~(exists pvs_factor_mu_one_sum_iffdivisormaskentrynondivisor. (n) = (dm_index_mu_one_sum_iffdivisormask) * pvs_factor_mu_one_sum_iffdivisormaskentrynondivisor)) /\ ((dm_value_mu_one_sum_iffdivisormask)=0))))))) /\ (exists dst_positive_code_mu_one_sum_iffdivisorfold dst_positive_scale_mu_one_sum_iffdivisorfold dst_negative_code_mu_one_sum_iffdivisorfold dst_negative_scale_mu_one_sum_iffdivisorfold dst_positive_sum_mu_one_sum_iffdivisorfold dst_negative_sum_mu_one_sum_iffdivisorfold. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) * S ((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) + ((dst_positive_scale_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))) * S ((((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) * S ((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) + ((dst_positive_scale_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))) + ((((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))))) /\ (((exists fs_u_dst_mu_one_sum_iffdivisorfoldpositive fs_v_dst_mu_one_sum_iffdivisorfoldpositive. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_start. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_start. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal + S (dst_positive_sum_mu_one_sum_iffdivisorfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (dst_positive_sum_mu_one_sum_iffdivisorfold))) /\ forall fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps. (exists fs_lt_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_bound. fs_lt_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_bound + S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand + S (fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffdivisorfold)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand. dst_positive_code_mu_one_sum_iffdivisorfold = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffdivisorfold) + (fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial + S (fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor + S (fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps = fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps + fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_sum_iffdivisorfoldnegative fs_v_dst_mu_one_sum_iffdivisorfoldnegative. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_start. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_start. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal + S (dst_negative_sum_mu_one_sum_iffdivisorfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (dst_negative_sum_mu_one_sum_iffdivisorfold))) /\ forall fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps. (exists fs_lt_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_bound. fs_lt_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_bound + S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand + S (fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffdivisorfold)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand. dst_negative_code_mu_one_sum_iffdivisorfold = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffdivisorfold) + (fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial + S (fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor + S (fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps = fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps + fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisorfoldresult ge_balance_negative_mu_one_sum_iffdivisorfoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_sum_iffdivisorfoldresult) /\ (ge_balance_negative_mu_one_sum_iffdivisorfoldresult) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisorfoldresult) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisorfoldresult) = S ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode))) /\ ((dst_positive_sum_mu_one_sum_iffdivisorfold) + ge_balance_negative_mu_one_sum_iffdivisorfoldresult = (dst_negative_sum_mu_one_sum_iffdivisorfold) + ge_balance_positive_mu_one_sum_iffdivisorfoldresult)))))))))))))) /\ ((((~((n)=0)) /\ (exists dm_mask_table_mu_one_sum_iffdivisor. ((((exists dst_positive_code_mu_one_sum_iffdivisormasktable dst_positive_scale_mu_one_sum_iffdivisormasktable dst_negative_code_mu_one_sum_iffdivisormasktable dst_negative_scale_mu_one_sum_iffdivisormasktable. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) + ((dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_positive_code_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable)) + ((dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))) + ((((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable))) + (((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) * S ((dst_negative_code_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)) + ((dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_scale_mu_one_sum_iffdivisormasktable)))))) /\ (forall dst_index_mu_one_sum_iffdivisormasktable. (exists pvs_le_gap_mu_one_sum_iffdivisormasktabledomain. pvs_le_gap_mu_one_sum_iffdivisormasktabledomain + (dst_index_mu_one_sum_iffdivisormasktable) = (n)) -> exists dst_positive_mu_one_sum_iffdivisormasktable dst_negative_mu_one_sum_iffdivisormasktable dst_value_mu_one_sum_iffdivisormasktable. ((((exists ff_h_pvs_mu_one_sum_iffdivisormasktableentrypositive. ff_h_pvs_mu_one_sum_iffdivisormasktableentrypositive + S (dst_positive_mu_one_sum_iffdivisormasktable) = S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_positive_scale_mu_one_sum_iffdivisormasktable)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasktableentrypositive. dst_positive_code_mu_one_sum_iffdivisormasktable = ff_q_pvs_mu_one_sum_iffdivisormasktableentrypositive * S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_positive_scale_mu_one_sum_iffdivisormasktable) + (dst_positive_mu_one_sum_iffdivisormasktable))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasktableentrynegative. ff_h_pvs_mu_one_sum_iffdivisormasktableentrynegative + S (dst_negative_mu_one_sum_iffdivisormasktable) = S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_negative_scale_mu_one_sum_iffdivisormasktable)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasktableentrynegative. dst_negative_code_mu_one_sum_iffdivisormasktable = ff_q_pvs_mu_one_sum_iffdivisormasktableentrynegative * S ((S (dst_index_mu_one_sum_iffdivisormasktable)) * dst_negative_scale_mu_one_sum_iffdivisormasktable) + (dst_negative_mu_one_sum_iffdivisormasktable))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue. (((((dst_value_mu_one_sum_iffdivisormasktable) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode. (((dst_value_mu_one_sum_iffdivisormasktable) = 2 * ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue) = S ge_signed_half_mu_one_sum_iffdivisormasktableentryvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormasktable) + ge_balance_negative_mu_one_sum_iffdivisormasktableentryvalue = (dst_negative_mu_one_sum_iffdivisormasktable) + ge_balance_positive_mu_one_sum_iffdivisormasktableentryvalue))))))))) /\ (forall dm_index_mu_one_sum_iffdivisormask dm_value_mu_one_sum_iffdivisormask. (exists pvs_le_gap_mu_one_sum_iffdivisormaskdomain. pvs_le_gap_mu_one_sum_iffdivisormaskdomain + (dm_index_mu_one_sum_iffdivisormask) = (n)) -> (exists dst_positive_code_mu_one_sum_iffdivisormasklookup dst_positive_scale_mu_one_sum_iffdivisormasklookup dst_negative_code_mu_one_sum_iffdivisormasklookup dst_negative_scale_mu_one_sum_iffdivisormasklookup dst_positive_mu_one_sum_iffdivisormasklookup dst_negative_mu_one_sum_iffdivisormasklookup. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_positive_code_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))) + ((((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup))) + (((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) * S ((dst_negative_code_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)) + ((dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_scale_mu_one_sum_iffdivisormasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasklookuppositive. ff_h_pvs_mu_one_sum_iffdivisormasklookuppositive + S (dst_positive_mu_one_sum_iffdivisormasklookup) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasklookuppositive. dst_positive_code_mu_one_sum_iffdivisormasklookup = ff_q_pvs_mu_one_sum_iffdivisormasklookuppositive * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormasklookup) + (dst_positive_mu_one_sum_iffdivisormasklookup))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormasklookupnegative. ff_h_pvs_mu_one_sum_iffdivisormasklookupnegative + S (dst_negative_mu_one_sum_iffdivisormasklookup) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormasklookupnegative. dst_negative_code_mu_one_sum_iffdivisormasklookup = ff_q_pvs_mu_one_sum_iffdivisormasklookupnegative * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormasklookup) + (dst_negative_mu_one_sum_iffdivisormasklookup))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue. (((((dm_value_mu_one_sum_iffdivisormask) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode. (((dm_value_mu_one_sum_iffdivisormask) = 2 * ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue) = S ge_signed_half_mu_one_sum_iffdivisormasklookupvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormasklookup) + ge_balance_negative_mu_one_sum_iffdivisormasklookupvalue = (dst_negative_mu_one_sum_iffdivisormasklookup) + ge_balance_positive_mu_one_sum_iffdivisormasklookupvalue))))))))) -> ((((~((dm_index_mu_one_sum_iffdivisormask)=0)) /\ (exists dm_quotient_mu_one_sum_iffdivisormaskentry. (((n)=(dm_index_mu_one_sum_iffdivisormask)*dm_quotient_mu_one_sum_iffdivisormaskentry) /\ (exists dst_positive_code_mu_one_sum_iffdivisormaskentryinput dst_positive_scale_mu_one_sum_iffdivisormaskentryinput dst_negative_code_mu_one_sum_iffdivisormaskentryinput dst_negative_scale_mu_one_sum_iffdivisormaskentryinput dst_positive_mu_one_sum_iffdivisormaskentryinput dst_negative_mu_one_sum_iffdivisormaskentryinput. (((M) = (((((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))) * S ((((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_positive_code_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))) + ((((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput))) + (((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) * S ((dst_negative_code_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) + ((dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormaskentryinputpositive. ff_h_pvs_mu_one_sum_iffdivisormaskentryinputpositive + S (dst_positive_mu_one_sum_iffdivisormaskentryinput) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormaskentryinput)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormaskentryinputpositive. dst_positive_code_mu_one_sum_iffdivisormaskentryinput = ff_q_pvs_mu_one_sum_iffdivisormaskentryinputpositive * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_positive_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_positive_mu_one_sum_iffdivisormaskentryinput))) /\ (((((exists ff_h_pvs_mu_one_sum_iffdivisormaskentryinputnegative. ff_h_pvs_mu_one_sum_iffdivisormaskentryinputnegative + S (dst_negative_mu_one_sum_iffdivisormaskentryinput) = S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormaskentryinput)) /\ exists ff_q_pvs_mu_one_sum_iffdivisormaskentryinputnegative. dst_negative_code_mu_one_sum_iffdivisormaskentryinput = ff_q_pvs_mu_one_sum_iffdivisormaskentryinputnegative * S ((S (dm_index_mu_one_sum_iffdivisormask)) * dst_negative_scale_mu_one_sum_iffdivisormaskentryinput) + (dst_negative_mu_one_sum_iffdivisormaskentryinput))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue. (((((dm_value_mu_one_sum_iffdivisormask) = 2 * (ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue) /\ (ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode. (((dm_value_mu_one_sum_iffdivisormask) = 2 * ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue) = S ge_signed_half_mu_one_sum_iffdivisormaskentryinputvaluedecode))) /\ ((dst_positive_mu_one_sum_iffdivisormaskentryinput) + ge_balance_negative_mu_one_sum_iffdivisormaskentryinputvalue = (dst_negative_mu_one_sum_iffdivisormaskentryinput) + ge_balance_positive_mu_one_sum_iffdivisormaskentryinputvalue))))))))))))) \/ ((((dm_index_mu_one_sum_iffdivisormask)=0 \/ ~(exists pvs_factor_mu_one_sum_iffdivisormaskentrynondivisor. (n) = (dm_index_mu_one_sum_iffdivisormask) * pvs_factor_mu_one_sum_iffdivisormaskentrynondivisor)) /\ ((dm_value_mu_one_sum_iffdivisormask)=0))))))) /\ (exists dst_positive_code_mu_one_sum_iffdivisorfold dst_positive_scale_mu_one_sum_iffdivisorfold dst_negative_code_mu_one_sum_iffdivisorfold dst_negative_scale_mu_one_sum_iffdivisorfold dst_positive_sum_mu_one_sum_iffdivisorfold dst_negative_sum_mu_one_sum_iffdivisorfold. (((dm_mask_table_mu_one_sum_iffdivisor) = (((((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) * S ((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) + ((dst_positive_scale_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))) * S ((((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) * S ((dst_positive_code_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold)) + ((dst_positive_scale_mu_one_sum_iffdivisorfold) + (dst_positive_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))) + ((((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold))) + (((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) * S ((dst_negative_code_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)) + ((dst_negative_scale_mu_one_sum_iffdivisorfold) + (dst_negative_scale_mu_one_sum_iffdivisorfold)))))) /\ (((exists fs_u_dst_mu_one_sum_iffdivisorfoldpositive fs_v_dst_mu_one_sum_iffdivisorfoldpositive. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_start. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_start. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal + S (dst_positive_sum_mu_one_sum_iffdivisorfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (dst_positive_sum_mu_one_sum_iffdivisorfold))) /\ forall fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps. (exists fs_lt_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_bound. fs_lt_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_bound + S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand + S (fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffdivisorfold)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand. dst_positive_code_mu_one_sum_iffdivisorfold = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffdivisorfold) + (fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial + S (fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor. fs_h_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor + S (fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor. fs_u_dst_mu_one_sum_iffdivisorfoldpositive = fs_q_dst_mu_one_sum_iffdivisorfoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldpositive) + (fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps))) /\ fs_s_dst_mu_one_sum_iffdivisorfoldpositive_body_steps = fs_r_dst_mu_one_sum_iffdivisorfoldpositive_body_steps + fs_a_dst_mu_one_sum_iffdivisorfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_sum_iffdivisorfoldnegative fs_v_dst_mu_one_sum_iffdivisorfoldnegative. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_start. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_start. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal + S (dst_negative_sum_mu_one_sum_iffdivisorfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (dst_negative_sum_mu_one_sum_iffdivisorfold))) /\ forall fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps. (exists fs_lt_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_bound. fs_lt_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_bound + S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps. ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand + S (fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffdivisorfold)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand. dst_negative_code_mu_one_sum_iffdivisorfold = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffdivisorfold) + (fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial + S (fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor. fs_h_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor + S (fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor. fs_u_dst_mu_one_sum_iffdivisorfoldnegative = fs_q_dst_mu_one_sum_iffdivisorfoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffdivisorfoldnegative) + (fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps))) /\ fs_s_dst_mu_one_sum_iffdivisorfoldnegative_body_steps = fs_r_dst_mu_one_sum_iffdivisorfoldnegative_body_steps + fs_a_dst_mu_one_sum_iffdivisorfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_sum_iffdivisorfoldresult ge_balance_negative_mu_one_sum_iffdivisorfoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_sum_iffdivisorfoldresult) /\ (ge_balance_negative_mu_one_sum_iffdivisorfoldresult) = 0) \/ exists ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode + 1 /\ (ge_balance_positive_mu_one_sum_iffdivisorfoldresult) = 0) /\ (ge_balance_negative_mu_one_sum_iffdivisorfoldresult) = S ge_signed_half_mu_one_sum_iffdivisorfoldresultdecode))) /\ ((dst_positive_sum_mu_one_sum_iffdivisorfold) + ge_balance_negative_mu_one_sum_iffdivisorfoldresult = (dst_negative_sum_mu_one_sum_iffdivisorfold) + ge_balance_positive_mu_one_sum_iffdivisorfoldresult))))))))))))) -> (((~((n)=0)) /\ (exists dc_mask_mu_one_sum_iffconvolution. ((((exists dst_positive_code_mu_one_sum_iffconvolutionmasktable dst_positive_scale_mu_one_sum_iffconvolutionmasktable dst_negative_code_mu_one_sum_iffconvolutionmasktable dst_negative_scale_mu_one_sum_iffconvolutionmasktable. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_scale_mu_one_sum_iffconvolutionmasktable)))))) /\ (forall dst_index_mu_one_sum_iffconvolutionmasktable. (exists pvs_le_gap_mu_one_sum_iffconvolutionmasktabledomain. pvs_le_gap_mu_one_sum_iffconvolutionmasktabledomain + (dst_index_mu_one_sum_iffconvolutionmasktable) = (n)) -> exists dst_positive_mu_one_sum_iffconvolutionmasktable dst_negative_mu_one_sum_iffconvolutionmasktable dst_value_mu_one_sum_iffconvolutionmasktable. ((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrypositive. ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrypositive + S (dst_positive_mu_one_sum_iffconvolutionmasktable) = S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_positive_scale_mu_one_sum_iffconvolutionmasktable)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrypositive. dst_positive_code_mu_one_sum_iffconvolutionmasktable = ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrypositive * S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_positive_scale_mu_one_sum_iffconvolutionmasktable) + (dst_positive_mu_one_sum_iffconvolutionmasktable))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrynegative. ff_h_pvs_mu_one_sum_iffconvolutionmasktableentrynegative + S (dst_negative_mu_one_sum_iffconvolutionmasktable) = S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_negative_scale_mu_one_sum_iffconvolutionmasktable)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrynegative. dst_negative_code_mu_one_sum_iffconvolutionmasktable = ff_q_pvs_mu_one_sum_iffconvolutionmasktableentrynegative * S ((S (dst_index_mu_one_sum_iffconvolutionmasktable)) * dst_negative_scale_mu_one_sum_iffconvolutionmasktable) + (dst_negative_mu_one_sum_iffconvolutionmasktable))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue. (((((dst_value_mu_one_sum_iffconvolutionmasktable) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode. (((dst_value_mu_one_sum_iffconvolutionmasktable) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmasktableentryvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmasktable) + ge_balance_negative_mu_one_sum_iffconvolutionmasktableentryvalue = (dst_negative_mu_one_sum_iffconvolutionmasktable) + ge_balance_positive_mu_one_sum_iffconvolutionmasktableentryvalue))))))))) /\ (forall dc_index_mu_one_sum_iffconvolutionmask dc_value_mu_one_sum_iffconvolutionmask. (exists pvs_le_gap_mu_one_sum_iffconvolutionmaskdomain. pvs_le_gap_mu_one_sum_iffconvolutionmaskdomain + (dc_index_mu_one_sum_iffconvolutionmask) = (n)) -> (exists dst_positive_code_mu_one_sum_iffconvolutionmasklookup dst_positive_scale_mu_one_sum_iffconvolutionmasklookup dst_negative_code_mu_one_sum_iffconvolutionmasklookup dst_negative_scale_mu_one_sum_iffconvolutionmasklookup dst_positive_mu_one_sum_iffconvolutionmasklookup dst_negative_mu_one_sum_iffconvolutionmasklookup. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup))) + (((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasklookuppositive. ff_h_pvs_mu_one_sum_iffconvolutionmasklookuppositive + S (dst_positive_mu_one_sum_iffconvolutionmasklookup) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasklookuppositive. dst_positive_code_mu_one_sum_iffconvolutionmasklookup = ff_q_pvs_mu_one_sum_iffconvolutionmasklookuppositive * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_positive_mu_one_sum_iffconvolutionmasklookup))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmasklookupnegative. ff_h_pvs_mu_one_sum_iffconvolutionmasklookupnegative + S (dst_negative_mu_one_sum_iffconvolutionmasklookup) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmasklookup)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmasklookupnegative. dst_negative_code_mu_one_sum_iffconvolutionmasklookup = ff_q_pvs_mu_one_sum_iffconvolutionmasklookupnegative * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmasklookup) + (dst_negative_mu_one_sum_iffconvolutionmasklookup))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue. (((((dc_value_mu_one_sum_iffconvolutionmask) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode. (((dc_value_mu_one_sum_iffconvolutionmask) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmasklookupvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmasklookup) + ge_balance_negative_mu_one_sum_iffconvolutionmasklookupvalue = (dst_negative_mu_one_sum_iffconvolutionmasklookup) + ge_balance_positive_mu_one_sum_iffconvolutionmasklookupvalue))))))))) -> ((((~((dc_index_mu_one_sum_iffconvolutionmask)=0)) /\ (exists dc_quotient_mu_one_sum_iffconvolutionmaskentry dc_left_mu_one_sum_iffconvolutionmaskentry dc_right_mu_one_sum_iffconvolutionmaskentry. (((n)=(dc_index_mu_one_sum_iffconvolutionmask)*dc_quotient_mu_one_sum_iffconvolutionmaskentry) /\ (((exists dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft dst_positive_mu_one_sum_iffconvolutionmaskentryleft dst_negative_mu_one_sum_iffconvolutionmaskentryleft. (((M) = (((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive + S (dst_positive_mu_one_sum_iffconvolutionmaskentryleft) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive. dst_positive_code_mu_one_sum_iffconvolutionmaskentryleft = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftpositive * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_positive_mu_one_sum_iffconvolutionmaskentryleft))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative + S (dst_negative_mu_one_sum_iffconvolutionmaskentryleft) = S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative. dst_negative_code_mu_one_sum_iffconvolutionmaskentryleft = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryleftnegative * S ((S (dc_index_mu_one_sum_iffconvolutionmask)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryleft) + (dst_negative_mu_one_sum_iffconvolutionmaskentryleft))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue. (((((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode. (((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryleftvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmaskentryleft) + ge_balance_negative_mu_one_sum_iffconvolutionmaskentryleftvalue = (dst_negative_mu_one_sum_iffconvolutionmaskentryleft) + ge_balance_positive_mu_one_sum_iffconvolutionmaskentryleftvalue))))))))) /\ (((exists dst_positive_code_mu_one_sum_iffconvolutionmaskentryright dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright dst_negative_code_mu_one_sum_iffconvolutionmaskentryright dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright dst_positive_mu_one_sum_iffconvolutionmaskentryright dst_negative_mu_one_sum_iffconvolutionmaskentryright. (((U) = (((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_positive_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright))) + (((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) * S ((dst_negative_code_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) + ((dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)))))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive + S (dst_positive_mu_one_sum_iffconvolutionmaskentryright) = S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive. dst_positive_code_mu_one_sum_iffconvolutionmaskentryright = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightpositive * S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_positive_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_positive_mu_one_sum_iffconvolutionmaskentryright))) /\ (((((exists ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative. ff_h_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative + S (dst_negative_mu_one_sum_iffconvolutionmaskentryright) = S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright)) /\ exists ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative. dst_negative_code_mu_one_sum_iffconvolutionmaskentryright = ff_q_pvs_mu_one_sum_iffconvolutionmaskentryrightnegative * S ((S (dc_quotient_mu_one_sum_iffconvolutionmaskentry)) * dst_negative_scale_mu_one_sum_iffconvolutionmaskentryright) + (dst_negative_mu_one_sum_iffconvolutionmaskentryright))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue. (((((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode. (((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryrightvaluedecode))) /\ ((dst_positive_mu_one_sum_iffconvolutionmaskentryright) + ge_balance_negative_mu_one_sum_iffconvolutionmaskentryrightvalue = (dst_negative_mu_one_sum_iffconvolutionmaskentryright) + ge_balance_positive_mu_one_sum_iffconvolutionmaskentryrightvalue))))))))) /\ (exists sto_ap_mu_one_sum_iffconvolutionmaskentryproduct sto_an_mu_one_sum_iffconvolutionmaskentryproduct sto_bp_mu_one_sum_iffconvolutionmaskentryproduct sto_bn_mu_one_sum_iffconvolutionmaskentryproduct sto_cp_mu_one_sum_iffconvolutionmaskentryproduct sto_cn_mu_one_sum_iffconvolutionmaskentryproduct. (((((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_an_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft. (((dc_left_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft + 1 /\ (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_an_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductleft))) /\ ((((((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * (sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright. (((dc_right_mu_one_sum_iffconvolutionmaskentry) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright + 1 /\ (sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductright))) /\ ((((((dc_value_mu_one_sum_iffconvolutionmask) = 2 * (sto_cp_mu_one_sum_iffconvolutionmaskentryproduct) /\ (sto_cn_mu_one_sum_iffconvolutionmaskentryproduct) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput. (((dc_value_mu_one_sum_iffconvolutionmask) = 2 * ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput + 1 /\ (sto_cp_mu_one_sum_iffconvolutionmaskentryproduct) = 0) /\ (sto_cn_mu_one_sum_iffconvolutionmaskentryproduct) = S ge_signed_half_mu_one_sum_iffconvolutionmaskentryproductoutput))) /\ ((sto_ap_mu_one_sum_iffconvolutionmaskentryproduct * sto_bp_mu_one_sum_iffconvolutionmaskentryproduct + sto_an_mu_one_sum_iffconvolutionmaskentryproduct * sto_bn_mu_one_sum_iffconvolutionmaskentryproduct) + sto_cn_mu_one_sum_iffconvolutionmaskentryproduct = (sto_ap_mu_one_sum_iffconvolutionmaskentryproduct * sto_bn_mu_one_sum_iffconvolutionmaskentryproduct + sto_an_mu_one_sum_iffconvolutionmaskentryproduct * sto_bp_mu_one_sum_iffconvolutionmaskentryproduct) + sto_cp_mu_one_sum_iffconvolutionmaskentryproduct))))))))))))))) \/ ((((dc_index_mu_one_sum_iffconvolutionmask)=0 \/ ~(exists pvs_factor_mu_one_sum_iffconvolutionmaskentrynondivisor. (n) = (dc_index_mu_one_sum_iffconvolutionmask) * pvs_factor_mu_one_sum_iffconvolutionmaskentrynondivisor)) /\ ((dc_value_mu_one_sum_iffconvolutionmask)=0))))))) /\ (exists dst_positive_code_mu_one_sum_iffconvolutionfold dst_positive_scale_mu_one_sum_iffconvolutionfold dst_negative_code_mu_one_sum_iffconvolutionfold dst_negative_scale_mu_one_sum_iffconvolutionfold dst_positive_sum_mu_one_sum_iffconvolutionfold dst_negative_sum_mu_one_sum_iffconvolutionfold. (((dc_mask_mu_one_sum_iffconvolution) = (((((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) + ((dst_positive_scale_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))) * S ((((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_positive_code_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold)) + ((dst_positive_scale_mu_one_sum_iffconvolutionfold) + (dst_positive_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))) + ((((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold))) + (((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) * S ((dst_negative_code_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)) + ((dst_negative_scale_mu_one_sum_iffconvolutionfold) + (dst_negative_scale_mu_one_sum_iffconvolutionfold)))))) /\ (((exists fs_u_dst_mu_one_sum_iffconvolutionfoldpositive fs_v_dst_mu_one_sum_iffconvolutionfoldpositive. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_start. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_start. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal + S (dst_positive_sum_mu_one_sum_iffconvolutionfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (dst_positive_sum_mu_one_sum_iffconvolutionfold))) /\ forall fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps. (exists fs_lt_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_bound. fs_lt_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_bound + S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand + S (fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffconvolutionfold)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand. dst_positive_code_mu_one_sum_iffconvolutionfold = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * dst_positive_scale_mu_one_sum_iffconvolutionfold) + (fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial + S (fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor. fs_h_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor + S (fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor. fs_u_dst_mu_one_sum_iffconvolutionfoldpositive = fs_q_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldpositive) + (fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps))) /\ fs_s_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps = fs_r_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps + fs_a_dst_mu_one_sum_iffconvolutionfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_sum_iffconvolutionfoldnegative fs_v_dst_mu_one_sum_iffconvolutionfoldnegative. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_start. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_start. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal + S (dst_negative_sum_mu_one_sum_iffconvolutionfold) = S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (dst_negative_sum_mu_one_sum_iffconvolutionfold))) /\ forall fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps. (exists fs_lt_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_bound. fs_lt_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_bound + S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps. ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand + S (fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffconvolutionfold)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand. dst_negative_code_mu_one_sum_iffconvolutionfold = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * dst_negative_scale_mu_one_sum_iffconvolutionfold) + (fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial + S (fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor. fs_h_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor + S (fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative)) /\ exists fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor. fs_u_dst_mu_one_sum_iffconvolutionfoldnegative = fs_q_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)) * fs_v_dst_mu_one_sum_iffconvolutionfoldnegative) + (fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps))) /\ fs_s_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps = fs_r_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps + fs_a_dst_mu_one_sum_iffconvolutionfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_sum_iffconvolutionfoldresult ge_balance_negative_mu_one_sum_iffconvolutionfoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_sum_iffconvolutionfoldresult) /\ (ge_balance_negative_mu_one_sum_iffconvolutionfoldresult) = 0) \/ exists ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode + 1 /\ (ge_balance_positive_mu_one_sum_iffconvolutionfoldresult) = 0) /\ (ge_balance_negative_mu_one_sum_iffconvolutionfoldresult) = S ge_signed_half_mu_one_sum_iffconvolutionfoldresultdecode))) /\ ((dst_positive_sum_mu_one_sum_iffconvolutionfold) + ge_balance_negative_mu_one_sum_iffconvolutionfoldresult = (dst_negative_sum_mu_one_sum_iffconvolutionfold) + ge_balance_positive_mu_one_sum_iffconvolutionfoldresult)))))))))))))))
  24. 0024specialize dirichlet_constant_one_sum_iff (N)
  25. 0025specialize dirichlet_constant_one_sum_iff (M)
  26. 0026specialize dirichlet_constant_one_sum_iff (U)
  27. 0027specialize dirichlet_constant_one_sum_iff (n)
  28. 0028specialize dirichlet_constant_one_sum_iff (z)
  29. 0029apply dirichlet_constant_one_sum_iff
  30. 0030exact hM_left
  31. 0031exact hU
  32. 0032exact hn
  33. 0033exact hbound
  34. 0034cases hi
  35. 0035apply hi_right
  36. 0036have hc : (((((~((n)=0)) /\ (exists dm_mask_table_mu_one_actual_cancellationforward. ((((exists dst_positive_code_mu_one_actual_cancellationforwardmasktable dst_positive_scale_mu_one_actual_cancellationforwardmasktable dst_negative_code_mu_one_actual_cancellationforwardmasktable dst_negative_scale_mu_one_actual_cancellationforwardmasktable. (((dm_mask_table_mu_one_actual_cancellationforward) = (((((dst_positive_code_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)))) * S ((((dst_positive_code_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmasktable) + (dst_positive_scale_mu_one_actual_cancellationforwardmasktable))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)))) + ((((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasktable) + (dst_negative_scale_mu_one_actual_cancellationforwardmasktable)))))) /\ (forall dst_index_mu_one_actual_cancellationforwardmasktable. (exists pvs_le_gap_mu_one_actual_cancellationforwardmasktabledomain. pvs_le_gap_mu_one_actual_cancellationforwardmasktabledomain + (dst_index_mu_one_actual_cancellationforwardmasktable) = (n)) -> exists dst_positive_mu_one_actual_cancellationforwardmasktable dst_negative_mu_one_actual_cancellationforwardmasktable dst_value_mu_one_actual_cancellationforwardmasktable. ((((exists ff_h_pvs_mu_one_actual_cancellationforwardmasktableentrypositive. ff_h_pvs_mu_one_actual_cancellationforwardmasktableentrypositive + S (dst_positive_mu_one_actual_cancellationforwardmasktable) = S ((S (dst_index_mu_one_actual_cancellationforwardmasktable)) * dst_positive_scale_mu_one_actual_cancellationforwardmasktable)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmasktableentrypositive. dst_positive_code_mu_one_actual_cancellationforwardmasktable = ff_q_pvs_mu_one_actual_cancellationforwardmasktableentrypositive * S ((S (dst_index_mu_one_actual_cancellationforwardmasktable)) * dst_positive_scale_mu_one_actual_cancellationforwardmasktable) + (dst_positive_mu_one_actual_cancellationforwardmasktable))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationforwardmasktableentrynegative. ff_h_pvs_mu_one_actual_cancellationforwardmasktableentrynegative + S (dst_negative_mu_one_actual_cancellationforwardmasktable) = S ((S (dst_index_mu_one_actual_cancellationforwardmasktable)) * dst_negative_scale_mu_one_actual_cancellationforwardmasktable)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmasktableentrynegative. dst_negative_code_mu_one_actual_cancellationforwardmasktable = ff_q_pvs_mu_one_actual_cancellationforwardmasktableentrynegative * S ((S (dst_index_mu_one_actual_cancellationforwardmasktable)) * dst_negative_scale_mu_one_actual_cancellationforwardmasktable) + (dst_negative_mu_one_actual_cancellationforwardmasktable))) /\ (exists ge_balance_positive_mu_one_actual_cancellationforwardmasktableentryvalue ge_balance_negative_mu_one_actual_cancellationforwardmasktableentryvalue. (((((dst_value_mu_one_actual_cancellationforwardmasktable) = 2 * (ge_balance_positive_mu_one_actual_cancellationforwardmasktableentryvalue) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationforwardmasktableentryvaluedecode. (((dst_value_mu_one_actual_cancellationforwardmasktable) = 2 * ge_signed_half_mu_one_actual_cancellationforwardmasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationforwardmasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmasktableentryvalue) = S ge_signed_half_mu_one_actual_cancellationforwardmasktableentryvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationforwardmasktable) + ge_balance_negative_mu_one_actual_cancellationforwardmasktableentryvalue = (dst_negative_mu_one_actual_cancellationforwardmasktable) + ge_balance_positive_mu_one_actual_cancellationforwardmasktableentryvalue))))))))) /\ (forall dm_index_mu_one_actual_cancellationforwardmask dm_value_mu_one_actual_cancellationforwardmask. (exists pvs_le_gap_mu_one_actual_cancellationforwardmaskdomain. pvs_le_gap_mu_one_actual_cancellationforwardmaskdomain + (dm_index_mu_one_actual_cancellationforwardmask) = (n)) -> (exists dst_positive_code_mu_one_actual_cancellationforwardmasklookup dst_positive_scale_mu_one_actual_cancellationforwardmasklookup dst_negative_code_mu_one_actual_cancellationforwardmasklookup dst_negative_scale_mu_one_actual_cancellationforwardmasklookup dst_positive_mu_one_actual_cancellationforwardmasklookup dst_negative_mu_one_actual_cancellationforwardmasklookup. (((dm_mask_table_mu_one_actual_cancellationforward) = (((((dst_positive_code_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)))) * S ((((dst_positive_code_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_scale_mu_one_actual_cancellationforwardmasklookup))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)))) + ((((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup))) + (((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationforwardmasklookuppositive. ff_h_pvs_mu_one_actual_cancellationforwardmasklookuppositive + S (dst_positive_mu_one_actual_cancellationforwardmasklookup) = S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_positive_scale_mu_one_actual_cancellationforwardmasklookup)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmasklookuppositive. dst_positive_code_mu_one_actual_cancellationforwardmasklookup = ff_q_pvs_mu_one_actual_cancellationforwardmasklookuppositive * S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_positive_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_positive_mu_one_actual_cancellationforwardmasklookup))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationforwardmasklookupnegative. ff_h_pvs_mu_one_actual_cancellationforwardmasklookupnegative + S (dst_negative_mu_one_actual_cancellationforwardmasklookup) = S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_negative_scale_mu_one_actual_cancellationforwardmasklookup)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmasklookupnegative. dst_negative_code_mu_one_actual_cancellationforwardmasklookup = ff_q_pvs_mu_one_actual_cancellationforwardmasklookupnegative * S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_negative_scale_mu_one_actual_cancellationforwardmasklookup) + (dst_negative_mu_one_actual_cancellationforwardmasklookup))) /\ (exists ge_balance_positive_mu_one_actual_cancellationforwardmasklookupvalue ge_balance_negative_mu_one_actual_cancellationforwardmasklookupvalue. (((((dm_value_mu_one_actual_cancellationforwardmask) = 2 * (ge_balance_positive_mu_one_actual_cancellationforwardmasklookupvalue) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationforwardmasklookupvaluedecode. (((dm_value_mu_one_actual_cancellationforwardmask) = 2 * ge_signed_half_mu_one_actual_cancellationforwardmasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationforwardmasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmasklookupvalue) = S ge_signed_half_mu_one_actual_cancellationforwardmasklookupvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationforwardmasklookup) + ge_balance_negative_mu_one_actual_cancellationforwardmasklookupvalue = (dst_negative_mu_one_actual_cancellationforwardmasklookup) + ge_balance_positive_mu_one_actual_cancellationforwardmasklookupvalue))))))))) -> ((((~((dm_index_mu_one_actual_cancellationforwardmask)=0)) /\ (exists dm_quotient_mu_one_actual_cancellationforwardmaskentry. (((n)=(dm_index_mu_one_actual_cancellationforwardmask)*dm_quotient_mu_one_actual_cancellationforwardmaskentry) /\ (exists dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput dst_positive_mu_one_actual_cancellationforwardmaskentryinput dst_negative_mu_one_actual_cancellationforwardmaskentryinput. (((M) = (((((dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)))) * S ((((dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)))) + ((((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)))))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationforwardmaskentryinputpositive. ff_h_pvs_mu_one_actual_cancellationforwardmaskentryinputpositive + S (dst_positive_mu_one_actual_cancellationforwardmaskentryinput) = S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmaskentryinputpositive. dst_positive_code_mu_one_actual_cancellationforwardmaskentryinput = ff_q_pvs_mu_one_actual_cancellationforwardmaskentryinputpositive * S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_positive_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_positive_mu_one_actual_cancellationforwardmaskentryinput))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationforwardmaskentryinputnegative. ff_h_pvs_mu_one_actual_cancellationforwardmaskentryinputnegative + S (dst_negative_mu_one_actual_cancellationforwardmaskentryinput) = S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput)) /\ exists ff_q_pvs_mu_one_actual_cancellationforwardmaskentryinputnegative. dst_negative_code_mu_one_actual_cancellationforwardmaskentryinput = ff_q_pvs_mu_one_actual_cancellationforwardmaskentryinputnegative * S ((S (dm_index_mu_one_actual_cancellationforwardmask)) * dst_negative_scale_mu_one_actual_cancellationforwardmaskentryinput) + (dst_negative_mu_one_actual_cancellationforwardmaskentryinput))) /\ (exists ge_balance_positive_mu_one_actual_cancellationforwardmaskentryinputvalue ge_balance_negative_mu_one_actual_cancellationforwardmaskentryinputvalue. (((((dm_value_mu_one_actual_cancellationforwardmask) = 2 * (ge_balance_positive_mu_one_actual_cancellationforwardmaskentryinputvalue) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmaskentryinputvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationforwardmaskentryinputvaluedecode. (((dm_value_mu_one_actual_cancellationforwardmask) = 2 * ge_signed_half_mu_one_actual_cancellationforwardmaskentryinputvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationforwardmaskentryinputvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationforwardmaskentryinputvalue) = S ge_signed_half_mu_one_actual_cancellationforwardmaskentryinputvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationforwardmaskentryinput) + ge_balance_negative_mu_one_actual_cancellationforwardmaskentryinputvalue = (dst_negative_mu_one_actual_cancellationforwardmaskentryinput) + ge_balance_positive_mu_one_actual_cancellationforwardmaskentryinputvalue))))))))))))) \/ ((((dm_index_mu_one_actual_cancellationforwardmask)=0 \/ ~(exists pvs_factor_mu_one_actual_cancellationforwardmaskentrynondivisor. (n) = (dm_index_mu_one_actual_cancellationforwardmask) * pvs_factor_mu_one_actual_cancellationforwardmaskentrynondivisor)) /\ ((dm_value_mu_one_actual_cancellationforwardmask)=0))))))) /\ (exists dst_positive_code_mu_one_actual_cancellationforwardfold dst_positive_scale_mu_one_actual_cancellationforwardfold dst_negative_code_mu_one_actual_cancellationforwardfold dst_negative_scale_mu_one_actual_cancellationforwardfold dst_positive_sum_mu_one_actual_cancellationforwardfold dst_negative_sum_mu_one_actual_cancellationforwardfold. (((dm_mask_table_mu_one_actual_cancellationforward) = (((((dst_positive_code_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_positive_code_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold)) + ((dst_positive_scale_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold))) + (((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) + ((dst_negative_scale_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)))) * S ((((dst_positive_code_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_positive_code_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold)) + ((dst_positive_scale_mu_one_actual_cancellationforwardfold) + (dst_positive_scale_mu_one_actual_cancellationforwardfold))) + (((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) + ((dst_negative_scale_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)))) + ((((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) + ((dst_negative_scale_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold))) + (((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) * S ((dst_negative_code_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)) + ((dst_negative_scale_mu_one_actual_cancellationforwardfold) + (dst_negative_scale_mu_one_actual_cancellationforwardfold)))))) /\ (((exists fs_u_dst_mu_one_actual_cancellationforwardfoldpositive fs_v_dst_mu_one_actual_cancellationforwardfoldpositive. ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_start. fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_start. fs_u_dst_mu_one_actual_cancellationforwardfoldpositive = fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_terminal. fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_terminal + S (dst_positive_sum_mu_one_actual_cancellationforwardfold) = S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_terminal. fs_u_dst_mu_one_actual_cancellationforwardfoldpositive = fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive) + (dst_positive_sum_mu_one_actual_cancellationforwardfold))) /\ forall fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps. (exists fs_lt_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_bound. fs_lt_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_bound + S fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps fs_r_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps fs_s_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps. ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_summand. fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_summand + S (fs_a_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * dst_positive_scale_mu_one_actual_cancellationforwardfold)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_summand. dst_positive_code_mu_one_actual_cancellationforwardfold = fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * dst_positive_scale_mu_one_actual_cancellationforwardfold) + (fs_a_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_partial. fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_partial + S (fs_r_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_partial. fs_u_dst_mu_one_actual_cancellationforwardfoldpositive = fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive) + (fs_r_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_successor. fs_h_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_successor + S (fs_s_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_successor. fs_u_dst_mu_one_actual_cancellationforwardfoldpositive = fs_q_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldpositive) + (fs_s_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps))) /\ fs_s_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps = fs_r_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps + fs_a_dst_mu_one_actual_cancellationforwardfoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_actual_cancellationforwardfoldnegative fs_v_dst_mu_one_actual_cancellationforwardfoldnegative. ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_start. fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_start. fs_u_dst_mu_one_actual_cancellationforwardfoldnegative = fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_terminal. fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_terminal + S (dst_negative_sum_mu_one_actual_cancellationforwardfold) = S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_terminal. fs_u_dst_mu_one_actual_cancellationforwardfoldnegative = fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative) + (dst_negative_sum_mu_one_actual_cancellationforwardfold))) /\ forall fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps. (exists fs_lt_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_bound. fs_lt_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_bound + S fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps fs_r_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps fs_s_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps. ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_summand. fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_summand + S (fs_a_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * dst_negative_scale_mu_one_actual_cancellationforwardfold)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_summand. dst_negative_code_mu_one_actual_cancellationforwardfold = fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * dst_negative_scale_mu_one_actual_cancellationforwardfold) + (fs_a_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_partial. fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_partial + S (fs_r_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_partial. fs_u_dst_mu_one_actual_cancellationforwardfoldnegative = fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative) + (fs_r_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_successor. fs_h_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_successor + S (fs_s_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_successor. fs_u_dst_mu_one_actual_cancellationforwardfoldnegative = fs_q_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationforwardfoldnegative) + (fs_s_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps))) /\ fs_s_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps = fs_r_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps + fs_a_dst_mu_one_actual_cancellationforwardfoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_actual_cancellationforwardfoldresult ge_balance_negative_mu_one_actual_cancellationforwardfoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_actual_cancellationforwardfoldresult) /\ (ge_balance_negative_mu_one_actual_cancellationforwardfoldresult) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationforwardfoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_actual_cancellationforwardfoldresultdecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationforwardfoldresult) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationforwardfoldresult) = S ge_signed_half_mu_one_actual_cancellationforwardfoldresultdecode))) /\ ((dst_positive_sum_mu_one_actual_cancellationforwardfold) + ge_balance_negative_mu_one_actual_cancellationforwardfoldresult = (dst_negative_sum_mu_one_actual_cancellationforwardfold) + ge_balance_positive_mu_one_actual_cancellationforwardfoldresult))))))))))))) -> (((n)=1 /\ (z)=2) \/ (~((n)=1) /\ (z)=0))) /\ ((((n)=1 /\ (z)=2) \/ (~((n)=1) /\ (z)=0)) -> (((~((n)=0)) /\ (exists dm_mask_table_mu_one_actual_cancellationreverse. ((((exists dst_positive_code_mu_one_actual_cancellationreversemasktable dst_positive_scale_mu_one_actual_cancellationreversemasktable dst_negative_code_mu_one_actual_cancellationreversemasktable dst_negative_scale_mu_one_actual_cancellationreversemasktable. (((dm_mask_table_mu_one_actual_cancellationreverse) = (((((dst_positive_code_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_positive_code_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_positive_scale_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable))) + (((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)))) * S ((((dst_positive_code_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_positive_code_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_positive_scale_mu_one_actual_cancellationreversemasktable) + (dst_positive_scale_mu_one_actual_cancellationreversemasktable))) + (((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)))) + ((((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable))) + (((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasktable) + (dst_negative_scale_mu_one_actual_cancellationreversemasktable)))))) /\ (forall dst_index_mu_one_actual_cancellationreversemasktable. (exists pvs_le_gap_mu_one_actual_cancellationreversemasktabledomain. pvs_le_gap_mu_one_actual_cancellationreversemasktabledomain + (dst_index_mu_one_actual_cancellationreversemasktable) = (n)) -> exists dst_positive_mu_one_actual_cancellationreversemasktable dst_negative_mu_one_actual_cancellationreversemasktable dst_value_mu_one_actual_cancellationreversemasktable. ((((exists ff_h_pvs_mu_one_actual_cancellationreversemasktableentrypositive. ff_h_pvs_mu_one_actual_cancellationreversemasktableentrypositive + S (dst_positive_mu_one_actual_cancellationreversemasktable) = S ((S (dst_index_mu_one_actual_cancellationreversemasktable)) * dst_positive_scale_mu_one_actual_cancellationreversemasktable)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemasktableentrypositive. dst_positive_code_mu_one_actual_cancellationreversemasktable = ff_q_pvs_mu_one_actual_cancellationreversemasktableentrypositive * S ((S (dst_index_mu_one_actual_cancellationreversemasktable)) * dst_positive_scale_mu_one_actual_cancellationreversemasktable) + (dst_positive_mu_one_actual_cancellationreversemasktable))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationreversemasktableentrynegative. ff_h_pvs_mu_one_actual_cancellationreversemasktableentrynegative + S (dst_negative_mu_one_actual_cancellationreversemasktable) = S ((S (dst_index_mu_one_actual_cancellationreversemasktable)) * dst_negative_scale_mu_one_actual_cancellationreversemasktable)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemasktableentrynegative. dst_negative_code_mu_one_actual_cancellationreversemasktable = ff_q_pvs_mu_one_actual_cancellationreversemasktableentrynegative * S ((S (dst_index_mu_one_actual_cancellationreversemasktable)) * dst_negative_scale_mu_one_actual_cancellationreversemasktable) + (dst_negative_mu_one_actual_cancellationreversemasktable))) /\ (exists ge_balance_positive_mu_one_actual_cancellationreversemasktableentryvalue ge_balance_negative_mu_one_actual_cancellationreversemasktableentryvalue. (((((dst_value_mu_one_actual_cancellationreversemasktable) = 2 * (ge_balance_positive_mu_one_actual_cancellationreversemasktableentryvalue) /\ (ge_balance_negative_mu_one_actual_cancellationreversemasktableentryvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationreversemasktableentryvaluedecode. (((dst_value_mu_one_actual_cancellationreversemasktable) = 2 * ge_signed_half_mu_one_actual_cancellationreversemasktableentryvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationreversemasktableentryvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationreversemasktableentryvalue) = S ge_signed_half_mu_one_actual_cancellationreversemasktableentryvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationreversemasktable) + ge_balance_negative_mu_one_actual_cancellationreversemasktableentryvalue = (dst_negative_mu_one_actual_cancellationreversemasktable) + ge_balance_positive_mu_one_actual_cancellationreversemasktableentryvalue))))))))) /\ (forall dm_index_mu_one_actual_cancellationreversemask dm_value_mu_one_actual_cancellationreversemask. (exists pvs_le_gap_mu_one_actual_cancellationreversemaskdomain. pvs_le_gap_mu_one_actual_cancellationreversemaskdomain + (dm_index_mu_one_actual_cancellationreversemask) = (n)) -> (exists dst_positive_code_mu_one_actual_cancellationreversemasklookup dst_positive_scale_mu_one_actual_cancellationreversemasklookup dst_negative_code_mu_one_actual_cancellationreversemasklookup dst_negative_scale_mu_one_actual_cancellationreversemasklookup dst_positive_mu_one_actual_cancellationreversemasklookup dst_negative_mu_one_actual_cancellationreversemasklookup. (((dm_mask_table_mu_one_actual_cancellationreverse) = (((((dst_positive_code_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_positive_code_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_positive_scale_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup))) + (((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)))) * S ((((dst_positive_code_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_positive_code_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_positive_scale_mu_one_actual_cancellationreversemasklookup) + (dst_positive_scale_mu_one_actual_cancellationreversemasklookup))) + (((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)))) + ((((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup))) + (((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) * S ((dst_negative_code_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) + ((dst_negative_scale_mu_one_actual_cancellationreversemasklookup) + (dst_negative_scale_mu_one_actual_cancellationreversemasklookup)))))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationreversemasklookuppositive. ff_h_pvs_mu_one_actual_cancellationreversemasklookuppositive + S (dst_positive_mu_one_actual_cancellationreversemasklookup) = S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_positive_scale_mu_one_actual_cancellationreversemasklookup)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemasklookuppositive. dst_positive_code_mu_one_actual_cancellationreversemasklookup = ff_q_pvs_mu_one_actual_cancellationreversemasklookuppositive * S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_positive_scale_mu_one_actual_cancellationreversemasklookup) + (dst_positive_mu_one_actual_cancellationreversemasklookup))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationreversemasklookupnegative. ff_h_pvs_mu_one_actual_cancellationreversemasklookupnegative + S (dst_negative_mu_one_actual_cancellationreversemasklookup) = S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_negative_scale_mu_one_actual_cancellationreversemasklookup)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemasklookupnegative. dst_negative_code_mu_one_actual_cancellationreversemasklookup = ff_q_pvs_mu_one_actual_cancellationreversemasklookupnegative * S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_negative_scale_mu_one_actual_cancellationreversemasklookup) + (dst_negative_mu_one_actual_cancellationreversemasklookup))) /\ (exists ge_balance_positive_mu_one_actual_cancellationreversemasklookupvalue ge_balance_negative_mu_one_actual_cancellationreversemasklookupvalue. (((((dm_value_mu_one_actual_cancellationreversemask) = 2 * (ge_balance_positive_mu_one_actual_cancellationreversemasklookupvalue) /\ (ge_balance_negative_mu_one_actual_cancellationreversemasklookupvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationreversemasklookupvaluedecode. (((dm_value_mu_one_actual_cancellationreversemask) = 2 * ge_signed_half_mu_one_actual_cancellationreversemasklookupvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationreversemasklookupvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationreversemasklookupvalue) = S ge_signed_half_mu_one_actual_cancellationreversemasklookupvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationreversemasklookup) + ge_balance_negative_mu_one_actual_cancellationreversemasklookupvalue = (dst_negative_mu_one_actual_cancellationreversemasklookup) + ge_balance_positive_mu_one_actual_cancellationreversemasklookupvalue))))))))) -> ((((~((dm_index_mu_one_actual_cancellationreversemask)=0)) /\ (exists dm_quotient_mu_one_actual_cancellationreversemaskentry. (((n)=(dm_index_mu_one_actual_cancellationreversemask)*dm_quotient_mu_one_actual_cancellationreversemaskentry) /\ (exists dst_positive_code_mu_one_actual_cancellationreversemaskentryinput dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput dst_negative_code_mu_one_actual_cancellationreversemaskentryinput dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput dst_positive_mu_one_actual_cancellationreversemaskentryinput dst_negative_mu_one_actual_cancellationreversemaskentryinput. (((M) = (((((dst_positive_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_positive_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)))) * S ((((dst_positive_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_positive_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)))) + ((((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput))) + (((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) * S ((dst_negative_code_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) + ((dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)))))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationreversemaskentryinputpositive. ff_h_pvs_mu_one_actual_cancellationreversemaskentryinputpositive + S (dst_positive_mu_one_actual_cancellationreversemaskentryinput) = S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemaskentryinputpositive. dst_positive_code_mu_one_actual_cancellationreversemaskentryinput = ff_q_pvs_mu_one_actual_cancellationreversemaskentryinputpositive * S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_positive_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_positive_mu_one_actual_cancellationreversemaskentryinput))) /\ (((((exists ff_h_pvs_mu_one_actual_cancellationreversemaskentryinputnegative. ff_h_pvs_mu_one_actual_cancellationreversemaskentryinputnegative + S (dst_negative_mu_one_actual_cancellationreversemaskentryinput) = S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput)) /\ exists ff_q_pvs_mu_one_actual_cancellationreversemaskentryinputnegative. dst_negative_code_mu_one_actual_cancellationreversemaskentryinput = ff_q_pvs_mu_one_actual_cancellationreversemaskentryinputnegative * S ((S (dm_index_mu_one_actual_cancellationreversemask)) * dst_negative_scale_mu_one_actual_cancellationreversemaskentryinput) + (dst_negative_mu_one_actual_cancellationreversemaskentryinput))) /\ (exists ge_balance_positive_mu_one_actual_cancellationreversemaskentryinputvalue ge_balance_negative_mu_one_actual_cancellationreversemaskentryinputvalue. (((((dm_value_mu_one_actual_cancellationreversemask) = 2 * (ge_balance_positive_mu_one_actual_cancellationreversemaskentryinputvalue) /\ (ge_balance_negative_mu_one_actual_cancellationreversemaskentryinputvalue) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationreversemaskentryinputvaluedecode. (((dm_value_mu_one_actual_cancellationreversemask) = 2 * ge_signed_half_mu_one_actual_cancellationreversemaskentryinputvaluedecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationreversemaskentryinputvalue) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationreversemaskentryinputvalue) = S ge_signed_half_mu_one_actual_cancellationreversemaskentryinputvaluedecode))) /\ ((dst_positive_mu_one_actual_cancellationreversemaskentryinput) + ge_balance_negative_mu_one_actual_cancellationreversemaskentryinputvalue = (dst_negative_mu_one_actual_cancellationreversemaskentryinput) + ge_balance_positive_mu_one_actual_cancellationreversemaskentryinputvalue))))))))))))) \/ ((((dm_index_mu_one_actual_cancellationreversemask)=0 \/ ~(exists pvs_factor_mu_one_actual_cancellationreversemaskentrynondivisor. (n) = (dm_index_mu_one_actual_cancellationreversemask) * pvs_factor_mu_one_actual_cancellationreversemaskentrynondivisor)) /\ ((dm_value_mu_one_actual_cancellationreversemask)=0))))))) /\ (exists dst_positive_code_mu_one_actual_cancellationreversefold dst_positive_scale_mu_one_actual_cancellationreversefold dst_negative_code_mu_one_actual_cancellationreversefold dst_negative_scale_mu_one_actual_cancellationreversefold dst_positive_sum_mu_one_actual_cancellationreversefold dst_negative_sum_mu_one_actual_cancellationreversefold. (((dm_mask_table_mu_one_actual_cancellationreverse) = (((((dst_positive_code_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold)) * S ((dst_positive_code_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold)) + ((dst_positive_scale_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold))) + (((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) * S ((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) + ((dst_negative_scale_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)))) * S ((((dst_positive_code_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold)) * S ((dst_positive_code_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold)) + ((dst_positive_scale_mu_one_actual_cancellationreversefold) + (dst_positive_scale_mu_one_actual_cancellationreversefold))) + (((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) * S ((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) + ((dst_negative_scale_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)))) + ((((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) * S ((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) + ((dst_negative_scale_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold))) + (((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) * S ((dst_negative_code_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)) + ((dst_negative_scale_mu_one_actual_cancellationreversefold) + (dst_negative_scale_mu_one_actual_cancellationreversefold)))))) /\ (((exists fs_u_dst_mu_one_actual_cancellationreversefoldpositive fs_v_dst_mu_one_actual_cancellationreversefoldpositive. ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_start. fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_start. fs_u_dst_mu_one_actual_cancellationreversefoldpositive = fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_start * S ((S (0)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive) + (0))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_terminal. fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_terminal + S (dst_positive_sum_mu_one_actual_cancellationreversefold) = S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_terminal. fs_u_dst_mu_one_actual_cancellationreversefoldpositive = fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive) + (dst_positive_sum_mu_one_actual_cancellationreversefold))) /\ forall fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps. (exists fs_lt_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_bound. fs_lt_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_bound + S fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps = S (n)) -> exists fs_a_dst_mu_one_actual_cancellationreversefoldpositive_body_steps fs_r_dst_mu_one_actual_cancellationreversefoldpositive_body_steps fs_s_dst_mu_one_actual_cancellationreversefoldpositive_body_steps. ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_summand. fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_summand + S (fs_a_dst_mu_one_actual_cancellationreversefoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * dst_positive_scale_mu_one_actual_cancellationreversefold)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_summand. dst_positive_code_mu_one_actual_cancellationreversefold = fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_summand * S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * dst_positive_scale_mu_one_actual_cancellationreversefold) + (fs_a_dst_mu_one_actual_cancellationreversefoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_partial. fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_partial + S (fs_r_dst_mu_one_actual_cancellationreversefoldpositive_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_partial. fs_u_dst_mu_one_actual_cancellationreversefoldpositive = fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_partial * S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive) + (fs_r_dst_mu_one_actual_cancellationreversefoldpositive_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_successor. fs_h_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_successor + S (fs_s_dst_mu_one_actual_cancellationreversefoldpositive_body_steps) = S ((S (S fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_successor. fs_u_dst_mu_one_actual_cancellationreversefoldpositive = fs_q_dst_mu_one_actual_cancellationreversefoldpositive_body_steps_successor * S ((S (S fs_i_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldpositive) + (fs_s_dst_mu_one_actual_cancellationreversefoldpositive_body_steps))) /\ fs_s_dst_mu_one_actual_cancellationreversefoldpositive_body_steps = fs_r_dst_mu_one_actual_cancellationreversefoldpositive_body_steps + fs_a_dst_mu_one_actual_cancellationreversefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_mu_one_actual_cancellationreversefoldnegative fs_v_dst_mu_one_actual_cancellationreversefoldnegative. ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_start. fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_start. fs_u_dst_mu_one_actual_cancellationreversefoldnegative = fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_start * S ((S (0)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative) + (0))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_terminal. fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_terminal + S (dst_negative_sum_mu_one_actual_cancellationreversefold) = S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_terminal. fs_u_dst_mu_one_actual_cancellationreversefoldnegative = fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_terminal * S ((S (S (n))) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative) + (dst_negative_sum_mu_one_actual_cancellationreversefold))) /\ forall fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps. (exists fs_lt_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_bound. fs_lt_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_bound + S fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps = S (n)) -> exists fs_a_dst_mu_one_actual_cancellationreversefoldnegative_body_steps fs_r_dst_mu_one_actual_cancellationreversefoldnegative_body_steps fs_s_dst_mu_one_actual_cancellationreversefoldnegative_body_steps. ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_summand. fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_summand + S (fs_a_dst_mu_one_actual_cancellationreversefoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * dst_negative_scale_mu_one_actual_cancellationreversefold)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_summand. dst_negative_code_mu_one_actual_cancellationreversefold = fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_summand * S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * dst_negative_scale_mu_one_actual_cancellationreversefold) + (fs_a_dst_mu_one_actual_cancellationreversefoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_partial. fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_partial + S (fs_r_dst_mu_one_actual_cancellationreversefoldnegative_body_steps) = S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_partial. fs_u_dst_mu_one_actual_cancellationreversefoldnegative = fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_partial * S ((S (fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative) + (fs_r_dst_mu_one_actual_cancellationreversefoldnegative_body_steps))) /\ ((((exists fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_successor. fs_h_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_successor + S (fs_s_dst_mu_one_actual_cancellationreversefoldnegative_body_steps) = S ((S (S fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative)) /\ exists fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_successor. fs_u_dst_mu_one_actual_cancellationreversefoldnegative = fs_q_dst_mu_one_actual_cancellationreversefoldnegative_body_steps_successor * S ((S (S fs_i_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)) * fs_v_dst_mu_one_actual_cancellationreversefoldnegative) + (fs_s_dst_mu_one_actual_cancellationreversefoldnegative_body_steps))) /\ fs_s_dst_mu_one_actual_cancellationreversefoldnegative_body_steps = fs_r_dst_mu_one_actual_cancellationreversefoldnegative_body_steps + fs_a_dst_mu_one_actual_cancellationreversefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_mu_one_actual_cancellationreversefoldresult ge_balance_negative_mu_one_actual_cancellationreversefoldresult. (((((z) = 2 * (ge_balance_positive_mu_one_actual_cancellationreversefoldresult) /\ (ge_balance_negative_mu_one_actual_cancellationreversefoldresult) = 0) \/ exists ge_signed_half_mu_one_actual_cancellationreversefoldresultdecode. (((z) = 2 * ge_signed_half_mu_one_actual_cancellationreversefoldresultdecode + 1 /\ (ge_balance_positive_mu_one_actual_cancellationreversefoldresult) = 0) /\ (ge_balance_negative_mu_one_actual_cancellationreversefoldresult) = S ge_signed_half_mu_one_actual_cancellationreversefoldresultdecode))) /\ ((dst_positive_sum_mu_one_actual_cancellationreversefold) + ge_balance_negative_mu_one_actual_cancellationreversefoldresult = (dst_negative_sum_mu_one_actual_cancellationreversefold) + ge_balance_positive_mu_one_actual_cancellationreversefoldresult)))))))))))))))
  37. 0037specialize mobius_divisor_sum_cancellation (N)
  38. 0038specialize mobius_divisor_sum_cancellation (M)
  39. 0039specialize mobius_divisor_sum_cancellation (n)
  40. 0040specialize mobius_divisor_sum_cancellation (z)
  41. 0041apply mobius_divisor_sum_cancellation
  42. 0042exact hM
  43. 0043exact hn
  44. 0044exact hbound
  45. 0045cases hc
  46. 0046apply hc_right
  47. 0047have hv : (((n)=1 -> (z)=2) /\ (~((n)=1) -> (z)=0))
  48. 0048specialize hE_right (n)
  49. 0049specialize hE_right (z)
  50. 0050apply hE_right
  51. 0051exact hn
  52. 0052exact hbound
  53. 0053exact hz
  54. 0054cases hv
  55. 0055have heq : n=1 \/ ~(n=1)
  56. 0056specialize eq_decidable (n)
  57. 0057specialize eq_decidable (1)
  58. 0058apply eq_decidable
  59. 0059cases heq
  60. 0060left
  61. 0061split
  62. 0062exact heq_left
  63. 0063apply hv_left
  64. 0064exact heq_left
  65. 0065right
  66. 0066split
  67. 0067exact heq_right
  68. 0068apply hv_right
  69. 0069exact heq_right