Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved.
For an actual table an inverse exists exactly when N=0 or F(1) is signed +1 or -1. At a positive window this is the unit-at-one criterion; the empty window imposes no condition at one. Every inverse has actual delta and two-sided convolution witnesses. Its zeroth value is arbitrary, so uniqueness is positive-value equality, not equality of codes or of zeroth values. Multiplicative-function closure and full finite signed G009 are admitted in the separate Alpha-v32 multiplicative-convolution family.
Exact theorem in conservative defined notation
∀ N. ∀ F. ∀ G. ∀ H. DirichletInverse(N,F,G) → DirichletInverse(N,F,H) → ArithPositiveEqual(G,H,N)
Every linked abbreviation expands hygienically to the identical original native formula.
Definition DAG
Actual proof prerequisites
Original expanded first-order statement
forall N F G H. (exists di_delta_inverse_unique_first. ((((exists dst_positive_code_inverse_unique_firstdeltatable dst_positive_scale_inverse_unique_firstdeltatable dst_negative_code_inverse_unique_firstdeltatable dst_negative_scale_inverse_unique_firstdeltatable. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable)) * S ((dst_positive_code_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable)) + ((dst_positive_scale_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable))) + (((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) * S ((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) + ((dst_negative_scale_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)))) * S ((((dst_positive_code_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable)) * S ((dst_positive_code_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable)) + ((dst_positive_scale_inverse_unique_firstdeltatable) + (dst_positive_scale_inverse_unique_firstdeltatable))) + (((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) * S ((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) + ((dst_negative_scale_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)))) + ((((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) * S ((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) + ((dst_negative_scale_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable))) + (((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) * S ((dst_negative_code_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)) + ((dst_negative_scale_inverse_unique_firstdeltatable) + (dst_negative_scale_inverse_unique_firstdeltatable)))))) /\ (forall dst_index_inverse_unique_firstdeltatable. (exists pvs_le_gap_inverse_unique_firstdeltatabledomain. pvs_le_gap_inverse_unique_firstdeltatabledomain + (dst_index_inverse_unique_firstdeltatable) = (N)) -> exists dst_positive_inverse_unique_firstdeltatable dst_negative_inverse_unique_firstdeltatable dst_value_inverse_unique_firstdeltatable. ((((exists ff_h_pvs_inverse_unique_firstdeltatableentrypositive. ff_h_pvs_inverse_unique_firstdeltatableentrypositive + S (dst_positive_inverse_unique_firstdeltatable) = S ((S (dst_index_inverse_unique_firstdeltatable)) * dst_positive_scale_inverse_unique_firstdeltatable)) /\ exists ff_q_pvs_inverse_unique_firstdeltatableentrypositive. dst_positive_code_inverse_unique_firstdeltatable = ff_q_pvs_inverse_unique_firstdeltatableentrypositive * S ((S (dst_index_inverse_unique_firstdeltatable)) * dst_positive_scale_inverse_unique_firstdeltatable) + (dst_positive_inverse_unique_firstdeltatable))) /\ (((((exists ff_h_pvs_inverse_unique_firstdeltatableentrynegative. ff_h_pvs_inverse_unique_firstdeltatableentrynegative + S (dst_negative_inverse_unique_firstdeltatable) = S ((S (dst_index_inverse_unique_firstdeltatable)) * dst_negative_scale_inverse_unique_firstdeltatable)) /\ exists ff_q_pvs_inverse_unique_firstdeltatableentrynegative. dst_negative_code_inverse_unique_firstdeltatable = ff_q_pvs_inverse_unique_firstdeltatableentrynegative * S ((S (dst_index_inverse_unique_firstdeltatable)) * dst_negative_scale_inverse_unique_firstdeltatable) + (dst_negative_inverse_unique_firstdeltatable))) /\ (exists ge_balance_positive_inverse_unique_firstdeltatableentryvalue ge_balance_negative_inverse_unique_firstdeltatableentryvalue. (((((dst_value_inverse_unique_firstdeltatable) = 2 * (ge_balance_positive_inverse_unique_firstdeltatableentryvalue) /\ (ge_balance_negative_inverse_unique_firstdeltatableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstdeltatableentryvaluedecode. (((dst_value_inverse_unique_firstdeltatable) = 2 * ge_signed_half_inverse_unique_firstdeltatableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstdeltatableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstdeltatableentryvalue) = S ge_signed_half_inverse_unique_firstdeltatableentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstdeltatable) + ge_balance_negative_inverse_unique_firstdeltatableentryvalue = (dst_negative_inverse_unique_firstdeltatable) + ge_balance_positive_inverse_unique_firstdeltatableentryvalue))))))))) /\ (forall du_index_inverse_unique_firstdelta du_value_inverse_unique_firstdelta. ~(du_index_inverse_unique_firstdelta=0) -> (exists pvs_le_gap_inverse_unique_firstdeltabound. pvs_le_gap_inverse_unique_firstdeltabound + (du_index_inverse_unique_firstdelta) = (N)) -> (exists dst_positive_code_inverse_unique_firstdeltaentry dst_positive_scale_inverse_unique_firstdeltaentry dst_negative_code_inverse_unique_firstdeltaentry dst_negative_scale_inverse_unique_firstdeltaentry dst_positive_inverse_unique_firstdeltaentry dst_negative_inverse_unique_firstdeltaentry. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry)) * S ((dst_positive_code_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry)) + ((dst_positive_scale_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry))) + (((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) * S ((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) + ((dst_negative_scale_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)))) * S ((((dst_positive_code_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry)) * S ((dst_positive_code_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry)) + ((dst_positive_scale_inverse_unique_firstdeltaentry) + (dst_positive_scale_inverse_unique_firstdeltaentry))) + (((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) * S ((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) + ((dst_negative_scale_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)))) + ((((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) * S ((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) + ((dst_negative_scale_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry))) + (((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) * S ((dst_negative_code_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)) + ((dst_negative_scale_inverse_unique_firstdeltaentry) + (dst_negative_scale_inverse_unique_firstdeltaentry)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstdeltaentrypositive. ff_h_pvs_inverse_unique_firstdeltaentrypositive + S (dst_positive_inverse_unique_firstdeltaentry) = S ((S (du_index_inverse_unique_firstdelta)) * dst_positive_scale_inverse_unique_firstdeltaentry)) /\ exists ff_q_pvs_inverse_unique_firstdeltaentrypositive. dst_positive_code_inverse_unique_firstdeltaentry = ff_q_pvs_inverse_unique_firstdeltaentrypositive * S ((S (du_index_inverse_unique_firstdelta)) * dst_positive_scale_inverse_unique_firstdeltaentry) + (dst_positive_inverse_unique_firstdeltaentry))) /\ (((((exists ff_h_pvs_inverse_unique_firstdeltaentrynegative. ff_h_pvs_inverse_unique_firstdeltaentrynegative + S (dst_negative_inverse_unique_firstdeltaentry) = S ((S (du_index_inverse_unique_firstdelta)) * dst_negative_scale_inverse_unique_firstdeltaentry)) /\ exists ff_q_pvs_inverse_unique_firstdeltaentrynegative. dst_negative_code_inverse_unique_firstdeltaentry = ff_q_pvs_inverse_unique_firstdeltaentrynegative * S ((S (du_index_inverse_unique_firstdelta)) * dst_negative_scale_inverse_unique_firstdeltaentry) + (dst_negative_inverse_unique_firstdeltaentry))) /\ (exists ge_balance_positive_inverse_unique_firstdeltaentryvalue ge_balance_negative_inverse_unique_firstdeltaentryvalue. (((((du_value_inverse_unique_firstdelta) = 2 * (ge_balance_positive_inverse_unique_firstdeltaentryvalue) /\ (ge_balance_negative_inverse_unique_firstdeltaentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstdeltaentryvaluedecode. (((du_value_inverse_unique_firstdelta) = 2 * ge_signed_half_inverse_unique_firstdeltaentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstdeltaentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstdeltaentryvalue) = S ge_signed_half_inverse_unique_firstdeltaentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstdeltaentry) + ge_balance_negative_inverse_unique_firstdeltaentryvalue = (dst_negative_inverse_unique_firstdeltaentry) + ge_balance_positive_inverse_unique_firstdeltaentryvalue))))))))) -> ((((du_index_inverse_unique_firstdelta)=1 -> (du_value_inverse_unique_firstdelta)=2) /\ (~((du_index_inverse_unique_firstdelta)=1) -> (du_value_inverse_unique_firstdelta)=0)))))) /\ (((((exists dst_positive_code_inverse_unique_firstleftleft dst_positive_scale_inverse_unique_firstleftleft dst_negative_code_inverse_unique_firstleftleft dst_negative_scale_inverse_unique_firstleftleft. (((F) = (((((dst_positive_code_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft)) * S ((dst_positive_code_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft)) + ((dst_positive_scale_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft))) + (((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) * S ((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) + ((dst_negative_scale_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)))) * S ((((dst_positive_code_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft)) * S ((dst_positive_code_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft)) + ((dst_positive_scale_inverse_unique_firstleftleft) + (dst_positive_scale_inverse_unique_firstleftleft))) + (((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) * S ((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) + ((dst_negative_scale_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)))) + ((((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) * S ((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) + ((dst_negative_scale_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft))) + (((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) * S ((dst_negative_code_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)) + ((dst_negative_scale_inverse_unique_firstleftleft) + (dst_negative_scale_inverse_unique_firstleftleft)))))) /\ (forall dst_index_inverse_unique_firstleftleft. (exists pvs_le_gap_inverse_unique_firstleftleftdomain. pvs_le_gap_inverse_unique_firstleftleftdomain + (dst_index_inverse_unique_firstleftleft) = (N)) -> exists dst_positive_inverse_unique_firstleftleft dst_negative_inverse_unique_firstleftleft dst_value_inverse_unique_firstleftleft. ((((exists ff_h_pvs_inverse_unique_firstleftleftentrypositive. ff_h_pvs_inverse_unique_firstleftleftentrypositive + S (dst_positive_inverse_unique_firstleftleft) = S ((S (dst_index_inverse_unique_firstleftleft)) * dst_positive_scale_inverse_unique_firstleftleft)) /\ exists ff_q_pvs_inverse_unique_firstleftleftentrypositive. dst_positive_code_inverse_unique_firstleftleft = ff_q_pvs_inverse_unique_firstleftleftentrypositive * S ((S (dst_index_inverse_unique_firstleftleft)) * dst_positive_scale_inverse_unique_firstleftleft) + (dst_positive_inverse_unique_firstleftleft))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftleftentrynegative. ff_h_pvs_inverse_unique_firstleftleftentrynegative + S (dst_negative_inverse_unique_firstleftleft) = S ((S (dst_index_inverse_unique_firstleftleft)) * dst_negative_scale_inverse_unique_firstleftleft)) /\ exists ff_q_pvs_inverse_unique_firstleftleftentrynegative. dst_negative_code_inverse_unique_firstleftleft = ff_q_pvs_inverse_unique_firstleftleftentrynegative * S ((S (dst_index_inverse_unique_firstleftleft)) * dst_negative_scale_inverse_unique_firstleftleft) + (dst_negative_inverse_unique_firstleftleft))) /\ (exists ge_balance_positive_inverse_unique_firstleftleftentryvalue ge_balance_negative_inverse_unique_firstleftleftentryvalue. (((((dst_value_inverse_unique_firstleftleft) = 2 * (ge_balance_positive_inverse_unique_firstleftleftentryvalue) /\ (ge_balance_negative_inverse_unique_firstleftleftentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftleftentryvaluedecode. (((dst_value_inverse_unique_firstleftleft) = 2 * ge_signed_half_inverse_unique_firstleftleftentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftleftentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftleftentryvalue) = S ge_signed_half_inverse_unique_firstleftleftentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftleft) + ge_balance_negative_inverse_unique_firstleftleftentryvalue = (dst_negative_inverse_unique_firstleftleft) + ge_balance_positive_inverse_unique_firstleftleftentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstleftright dst_positive_scale_inverse_unique_firstleftright dst_negative_code_inverse_unique_firstleftright dst_negative_scale_inverse_unique_firstleftright. (((G) = (((((dst_positive_code_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright)) * S ((dst_positive_code_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright)) + ((dst_positive_scale_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright))) + (((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) * S ((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) + ((dst_negative_scale_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)))) * S ((((dst_positive_code_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright)) * S ((dst_positive_code_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright)) + ((dst_positive_scale_inverse_unique_firstleftright) + (dst_positive_scale_inverse_unique_firstleftright))) + (((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) * S ((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) + ((dst_negative_scale_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)))) + ((((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) * S ((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) + ((dst_negative_scale_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright))) + (((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) * S ((dst_negative_code_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)) + ((dst_negative_scale_inverse_unique_firstleftright) + (dst_negative_scale_inverse_unique_firstleftright)))))) /\ (forall dst_index_inverse_unique_firstleftright. (exists pvs_le_gap_inverse_unique_firstleftrightdomain. pvs_le_gap_inverse_unique_firstleftrightdomain + (dst_index_inverse_unique_firstleftright) = (N)) -> exists dst_positive_inverse_unique_firstleftright dst_negative_inverse_unique_firstleftright dst_value_inverse_unique_firstleftright. ((((exists ff_h_pvs_inverse_unique_firstleftrightentrypositive. ff_h_pvs_inverse_unique_firstleftrightentrypositive + S (dst_positive_inverse_unique_firstleftright) = S ((S (dst_index_inverse_unique_firstleftright)) * dst_positive_scale_inverse_unique_firstleftright)) /\ exists ff_q_pvs_inverse_unique_firstleftrightentrypositive. dst_positive_code_inverse_unique_firstleftright = ff_q_pvs_inverse_unique_firstleftrightentrypositive * S ((S (dst_index_inverse_unique_firstleftright)) * dst_positive_scale_inverse_unique_firstleftright) + (dst_positive_inverse_unique_firstleftright))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftrightentrynegative. ff_h_pvs_inverse_unique_firstleftrightentrynegative + S (dst_negative_inverse_unique_firstleftright) = S ((S (dst_index_inverse_unique_firstleftright)) * dst_negative_scale_inverse_unique_firstleftright)) /\ exists ff_q_pvs_inverse_unique_firstleftrightentrynegative. dst_negative_code_inverse_unique_firstleftright = ff_q_pvs_inverse_unique_firstleftrightentrynegative * S ((S (dst_index_inverse_unique_firstleftright)) * dst_negative_scale_inverse_unique_firstleftright) + (dst_negative_inverse_unique_firstleftright))) /\ (exists ge_balance_positive_inverse_unique_firstleftrightentryvalue ge_balance_negative_inverse_unique_firstleftrightentryvalue. (((((dst_value_inverse_unique_firstleftright) = 2 * (ge_balance_positive_inverse_unique_firstleftrightentryvalue) /\ (ge_balance_negative_inverse_unique_firstleftrightentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftrightentryvaluedecode. (((dst_value_inverse_unique_firstleftright) = 2 * ge_signed_half_inverse_unique_firstleftrightentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftrightentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftrightentryvalue) = S ge_signed_half_inverse_unique_firstleftrightentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftright) + ge_balance_negative_inverse_unique_firstleftrightentryvalue = (dst_negative_inverse_unique_firstleftright) + ge_balance_positive_inverse_unique_firstleftrightentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstlefttable dst_positive_scale_inverse_unique_firstlefttable dst_negative_code_inverse_unique_firstlefttable dst_negative_scale_inverse_unique_firstlefttable. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable)) * S ((dst_positive_code_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable)) + ((dst_positive_scale_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable))) + (((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) * S ((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) + ((dst_negative_scale_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)))) * S ((((dst_positive_code_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable)) * S ((dst_positive_code_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable)) + ((dst_positive_scale_inverse_unique_firstlefttable) + (dst_positive_scale_inverse_unique_firstlefttable))) + (((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) * S ((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) + ((dst_negative_scale_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)))) + ((((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) * S ((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) + ((dst_negative_scale_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable))) + (((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) * S ((dst_negative_code_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)) + ((dst_negative_scale_inverse_unique_firstlefttable) + (dst_negative_scale_inverse_unique_firstlefttable)))))) /\ (forall dst_index_inverse_unique_firstlefttable. (exists pvs_le_gap_inverse_unique_firstlefttabledomain. pvs_le_gap_inverse_unique_firstlefttabledomain + (dst_index_inverse_unique_firstlefttable) = (N)) -> exists dst_positive_inverse_unique_firstlefttable dst_negative_inverse_unique_firstlefttable dst_value_inverse_unique_firstlefttable. ((((exists ff_h_pvs_inverse_unique_firstlefttableentrypositive. ff_h_pvs_inverse_unique_firstlefttableentrypositive + S (dst_positive_inverse_unique_firstlefttable) = S ((S (dst_index_inverse_unique_firstlefttable)) * dst_positive_scale_inverse_unique_firstlefttable)) /\ exists ff_q_pvs_inverse_unique_firstlefttableentrypositive. dst_positive_code_inverse_unique_firstlefttable = ff_q_pvs_inverse_unique_firstlefttableentrypositive * S ((S (dst_index_inverse_unique_firstlefttable)) * dst_positive_scale_inverse_unique_firstlefttable) + (dst_positive_inverse_unique_firstlefttable))) /\ (((((exists ff_h_pvs_inverse_unique_firstlefttableentrynegative. ff_h_pvs_inverse_unique_firstlefttableentrynegative + S (dst_negative_inverse_unique_firstlefttable) = S ((S (dst_index_inverse_unique_firstlefttable)) * dst_negative_scale_inverse_unique_firstlefttable)) /\ exists ff_q_pvs_inverse_unique_firstlefttableentrynegative. dst_negative_code_inverse_unique_firstlefttable = ff_q_pvs_inverse_unique_firstlefttableentrynegative * S ((S (dst_index_inverse_unique_firstlefttable)) * dst_negative_scale_inverse_unique_firstlefttable) + (dst_negative_inverse_unique_firstlefttable))) /\ (exists ge_balance_positive_inverse_unique_firstlefttableentryvalue ge_balance_negative_inverse_unique_firstlefttableentryvalue. (((((dst_value_inverse_unique_firstlefttable) = 2 * (ge_balance_positive_inverse_unique_firstlefttableentryvalue) /\ (ge_balance_negative_inverse_unique_firstlefttableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstlefttableentryvaluedecode. (((dst_value_inverse_unique_firstlefttable) = 2 * ge_signed_half_inverse_unique_firstlefttableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstlefttableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstlefttableentryvalue) = S ge_signed_half_inverse_unique_firstlefttableentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstlefttable) + ge_balance_negative_inverse_unique_firstlefttableentryvalue = (dst_negative_inverse_unique_firstlefttable) + ge_balance_positive_inverse_unique_firstlefttableentryvalue))))))))) /\ (forall dc_input_inverse_unique_firstleft dc_output_inverse_unique_firstleft. ~(dc_input_inverse_unique_firstleft=0) -> (exists pvs_le_gap_inverse_unique_firstleftdomain. pvs_le_gap_inverse_unique_firstleftdomain + (dc_input_inverse_unique_firstleft) = (N)) -> (exists dst_positive_code_inverse_unique_firstleftlookup dst_positive_scale_inverse_unique_firstleftlookup dst_negative_code_inverse_unique_firstleftlookup dst_negative_scale_inverse_unique_firstleftlookup dst_positive_inverse_unique_firstleftlookup dst_negative_inverse_unique_firstleftlookup. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup)) * S ((dst_positive_code_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup)) + ((dst_positive_scale_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup))) + (((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) * S ((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) + ((dst_negative_scale_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)))) * S ((((dst_positive_code_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup)) * S ((dst_positive_code_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup)) + ((dst_positive_scale_inverse_unique_firstleftlookup) + (dst_positive_scale_inverse_unique_firstleftlookup))) + (((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) * S ((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) + ((dst_negative_scale_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)))) + ((((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) * S ((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) + ((dst_negative_scale_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup))) + (((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) * S ((dst_negative_code_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)) + ((dst_negative_scale_inverse_unique_firstleftlookup) + (dst_negative_scale_inverse_unique_firstleftlookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftlookuppositive. ff_h_pvs_inverse_unique_firstleftlookuppositive + S (dst_positive_inverse_unique_firstleftlookup) = S ((S (dc_input_inverse_unique_firstleft)) * dst_positive_scale_inverse_unique_firstleftlookup)) /\ exists ff_q_pvs_inverse_unique_firstleftlookuppositive. dst_positive_code_inverse_unique_firstleftlookup = ff_q_pvs_inverse_unique_firstleftlookuppositive * S ((S (dc_input_inverse_unique_firstleft)) * dst_positive_scale_inverse_unique_firstleftlookup) + (dst_positive_inverse_unique_firstleftlookup))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftlookupnegative. ff_h_pvs_inverse_unique_firstleftlookupnegative + S (dst_negative_inverse_unique_firstleftlookup) = S ((S (dc_input_inverse_unique_firstleft)) * dst_negative_scale_inverse_unique_firstleftlookup)) /\ exists ff_q_pvs_inverse_unique_firstleftlookupnegative. dst_negative_code_inverse_unique_firstleftlookup = ff_q_pvs_inverse_unique_firstleftlookupnegative * S ((S (dc_input_inverse_unique_firstleft)) * dst_negative_scale_inverse_unique_firstleftlookup) + (dst_negative_inverse_unique_firstleftlookup))) /\ (exists ge_balance_positive_inverse_unique_firstleftlookupvalue ge_balance_negative_inverse_unique_firstleftlookupvalue. (((((dc_output_inverse_unique_firstleft) = 2 * (ge_balance_positive_inverse_unique_firstleftlookupvalue) /\ (ge_balance_negative_inverse_unique_firstleftlookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftlookupvaluedecode. (((dc_output_inverse_unique_firstleft) = 2 * ge_signed_half_inverse_unique_firstleftlookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftlookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftlookupvalue) = S ge_signed_half_inverse_unique_firstleftlookupvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftlookup) + ge_balance_negative_inverse_unique_firstleftlookupvalue = (dst_negative_inverse_unique_firstleftlookup) + ge_balance_positive_inverse_unique_firstleftlookupvalue))))))))) -> (((~((dc_input_inverse_unique_firstleft)=0)) /\ (exists dc_mask_inverse_unique_firstleftvalue. ((((exists dst_positive_code_inverse_unique_firstleftvaluemasktable dst_positive_scale_inverse_unique_firstleftvaluemasktable dst_negative_code_inverse_unique_firstleftvaluemasktable dst_negative_scale_inverse_unique_firstleftvaluemasktable. (((dc_mask_inverse_unique_firstleftvalue) = (((((dst_positive_code_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_positive_code_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_positive_scale_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable))) + (((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)))) * S ((((dst_positive_code_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_positive_code_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_positive_scale_inverse_unique_firstleftvaluemasktable) + (dst_positive_scale_inverse_unique_firstleftvaluemasktable))) + (((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)))) + ((((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable))) + (((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasktable) + (dst_negative_scale_inverse_unique_firstleftvaluemasktable)))))) /\ (forall dst_index_inverse_unique_firstleftvaluemasktable. (exists pvs_le_gap_inverse_unique_firstleftvaluemasktabledomain. pvs_le_gap_inverse_unique_firstleftvaluemasktabledomain + (dst_index_inverse_unique_firstleftvaluemasktable) = (dc_input_inverse_unique_firstleft)) -> exists dst_positive_inverse_unique_firstleftvaluemasktable dst_negative_inverse_unique_firstleftvaluemasktable dst_value_inverse_unique_firstleftvaluemasktable. ((((exists ff_h_pvs_inverse_unique_firstleftvaluemasktableentrypositive. ff_h_pvs_inverse_unique_firstleftvaluemasktableentrypositive + S (dst_positive_inverse_unique_firstleftvaluemasktable) = S ((S (dst_index_inverse_unique_firstleftvaluemasktable)) * dst_positive_scale_inverse_unique_firstleftvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemasktableentrypositive. dst_positive_code_inverse_unique_firstleftvaluemasktable = ff_q_pvs_inverse_unique_firstleftvaluemasktableentrypositive * S ((S (dst_index_inverse_unique_firstleftvaluemasktable)) * dst_positive_scale_inverse_unique_firstleftvaluemasktable) + (dst_positive_inverse_unique_firstleftvaluemasktable))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemasktableentrynegative. ff_h_pvs_inverse_unique_firstleftvaluemasktableentrynegative + S (dst_negative_inverse_unique_firstleftvaluemasktable) = S ((S (dst_index_inverse_unique_firstleftvaluemasktable)) * dst_negative_scale_inverse_unique_firstleftvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemasktableentrynegative. dst_negative_code_inverse_unique_firstleftvaluemasktable = ff_q_pvs_inverse_unique_firstleftvaluemasktableentrynegative * S ((S (dst_index_inverse_unique_firstleftvaluemasktable)) * dst_negative_scale_inverse_unique_firstleftvaluemasktable) + (dst_negative_inverse_unique_firstleftvaluemasktable))) /\ (exists ge_balance_positive_inverse_unique_firstleftvaluemasktableentryvalue ge_balance_negative_inverse_unique_firstleftvaluemasktableentryvalue. (((((dst_value_inverse_unique_firstleftvaluemasktable) = 2 * (ge_balance_positive_inverse_unique_firstleftvaluemasktableentryvalue) /\ (ge_balance_negative_inverse_unique_firstleftvaluemasktableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemasktableentryvaluedecode. (((dst_value_inverse_unique_firstleftvaluemasktable) = 2 * ge_signed_half_inverse_unique_firstleftvaluemasktableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftvaluemasktableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftvaluemasktableentryvalue) = S ge_signed_half_inverse_unique_firstleftvaluemasktableentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftvaluemasktable) + ge_balance_negative_inverse_unique_firstleftvaluemasktableentryvalue = (dst_negative_inverse_unique_firstleftvaluemasktable) + ge_balance_positive_inverse_unique_firstleftvaluemasktableentryvalue))))))))) /\ (forall dc_index_inverse_unique_firstleftvaluemask dc_value_inverse_unique_firstleftvaluemask. (exists pvs_le_gap_inverse_unique_firstleftvaluemaskdomain. pvs_le_gap_inverse_unique_firstleftvaluemaskdomain + (dc_index_inverse_unique_firstleftvaluemask) = (dc_input_inverse_unique_firstleft)) -> (exists dst_positive_code_inverse_unique_firstleftvaluemasklookup dst_positive_scale_inverse_unique_firstleftvaluemasklookup dst_negative_code_inverse_unique_firstleftvaluemasklookup dst_negative_scale_inverse_unique_firstleftvaluemasklookup dst_positive_inverse_unique_firstleftvaluemasklookup dst_negative_inverse_unique_firstleftvaluemasklookup. (((dc_mask_inverse_unique_firstleftvalue) = (((((dst_positive_code_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_positive_code_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_positive_scale_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)))) * S ((((dst_positive_code_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_positive_code_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_positive_scale_inverse_unique_firstleftvaluemasklookup) + (dst_positive_scale_inverse_unique_firstleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)))) + ((((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstleftvaluemasklookup) + (dst_negative_scale_inverse_unique_firstleftvaluemasklookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemasklookuppositive. ff_h_pvs_inverse_unique_firstleftvaluemasklookuppositive + S (dst_positive_inverse_unique_firstleftvaluemasklookup) = S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_positive_scale_inverse_unique_firstleftvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemasklookuppositive. dst_positive_code_inverse_unique_firstleftvaluemasklookup = ff_q_pvs_inverse_unique_firstleftvaluemasklookuppositive * S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_positive_scale_inverse_unique_firstleftvaluemasklookup) + (dst_positive_inverse_unique_firstleftvaluemasklookup))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemasklookupnegative. ff_h_pvs_inverse_unique_firstleftvaluemasklookupnegative + S (dst_negative_inverse_unique_firstleftvaluemasklookup) = S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_negative_scale_inverse_unique_firstleftvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemasklookupnegative. dst_negative_code_inverse_unique_firstleftvaluemasklookup = ff_q_pvs_inverse_unique_firstleftvaluemasklookupnegative * S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_negative_scale_inverse_unique_firstleftvaluemasklookup) + (dst_negative_inverse_unique_firstleftvaluemasklookup))) /\ (exists ge_balance_positive_inverse_unique_firstleftvaluemasklookupvalue ge_balance_negative_inverse_unique_firstleftvaluemasklookupvalue. (((((dc_value_inverse_unique_firstleftvaluemask) = 2 * (ge_balance_positive_inverse_unique_firstleftvaluemasklookupvalue) /\ (ge_balance_negative_inverse_unique_firstleftvaluemasklookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemasklookupvaluedecode. (((dc_value_inverse_unique_firstleftvaluemask) = 2 * ge_signed_half_inverse_unique_firstleftvaluemasklookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftvaluemasklookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftvaluemasklookupvalue) = S ge_signed_half_inverse_unique_firstleftvaluemasklookupvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftvaluemasklookup) + ge_balance_negative_inverse_unique_firstleftvaluemasklookupvalue = (dst_negative_inverse_unique_firstleftvaluemasklookup) + ge_balance_positive_inverse_unique_firstleftvaluemasklookupvalue))))))))) -> ((((~((dc_index_inverse_unique_firstleftvaluemask)=0)) /\ (exists dc_quotient_inverse_unique_firstleftvaluemaskentry dc_left_inverse_unique_firstleftvaluemaskentry dc_right_inverse_unique_firstleftvaluemaskentry. (((dc_input_inverse_unique_firstleft)=(dc_index_inverse_unique_firstleftvaluemask)*dc_quotient_inverse_unique_firstleftvaluemaskentry) /\ (((exists dst_positive_code_inverse_unique_firstleftvaluemaskentryleft dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft dst_negative_code_inverse_unique_firstleftvaluemaskentryleft dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft dst_positive_inverse_unique_firstleftvaluemaskentryleft dst_negative_inverse_unique_firstleftvaluemaskentryleft. (((F) = (((((dst_positive_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)))) * S ((((dst_positive_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)))) + ((((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemaskentryleftpositive. ff_h_pvs_inverse_unique_firstleftvaluemaskentryleftpositive + S (dst_positive_inverse_unique_firstleftvaluemaskentryleft) = S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemaskentryleftpositive. dst_positive_code_inverse_unique_firstleftvaluemaskentryleft = ff_q_pvs_inverse_unique_firstleftvaluemaskentryleftpositive * S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_positive_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_positive_inverse_unique_firstleftvaluemaskentryleft))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemaskentryleftnegative. ff_h_pvs_inverse_unique_firstleftvaluemaskentryleftnegative + S (dst_negative_inverse_unique_firstleftvaluemaskentryleft) = S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemaskentryleftnegative. dst_negative_code_inverse_unique_firstleftvaluemaskentryleft = ff_q_pvs_inverse_unique_firstleftvaluemaskentryleftnegative * S ((S (dc_index_inverse_unique_firstleftvaluemask)) * dst_negative_scale_inverse_unique_firstleftvaluemaskentryleft) + (dst_negative_inverse_unique_firstleftvaluemaskentryleft))) /\ (exists ge_balance_positive_inverse_unique_firstleftvaluemaskentryleftvalue ge_balance_negative_inverse_unique_firstleftvaluemaskentryleftvalue. (((((dc_left_inverse_unique_firstleftvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_firstleftvaluemaskentryleftvalue) /\ (ge_balance_negative_inverse_unique_firstleftvaluemaskentryleftvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemaskentryleftvaluedecode. (((dc_left_inverse_unique_firstleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstleftvaluemaskentryleftvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftvaluemaskentryleftvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftvaluemaskentryleftvalue) = S ge_signed_half_inverse_unique_firstleftvaluemaskentryleftvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftvaluemaskentryleft) + ge_balance_negative_inverse_unique_firstleftvaluemaskentryleftvalue = (dst_negative_inverse_unique_firstleftvaluemaskentryleft) + ge_balance_positive_inverse_unique_firstleftvaluemaskentryleftvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstleftvaluemaskentryright dst_positive_scale_inverse_unique_firstleftvaluemaskentryright dst_negative_code_inverse_unique_firstleftvaluemaskentryright dst_negative_scale_inverse_unique_firstleftvaluemaskentryright dst_positive_inverse_unique_firstleftvaluemaskentryright dst_negative_inverse_unique_firstleftvaluemaskentryright. (((G) = (((((dst_positive_code_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)))) * S ((((dst_positive_code_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)))) + ((((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemaskentryrightpositive. ff_h_pvs_inverse_unique_firstleftvaluemaskentryrightpositive + S (dst_positive_inverse_unique_firstleftvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_firstleftvaluemaskentry)) * dst_positive_scale_inverse_unique_firstleftvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemaskentryrightpositive. dst_positive_code_inverse_unique_firstleftvaluemaskentryright = ff_q_pvs_inverse_unique_firstleftvaluemaskentryrightpositive * S ((S (dc_quotient_inverse_unique_firstleftvaluemaskentry)) * dst_positive_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_positive_inverse_unique_firstleftvaluemaskentryright))) /\ (((((exists ff_h_pvs_inverse_unique_firstleftvaluemaskentryrightnegative. ff_h_pvs_inverse_unique_firstleftvaluemaskentryrightnegative + S (dst_negative_inverse_unique_firstleftvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_firstleftvaluemaskentry)) * dst_negative_scale_inverse_unique_firstleftvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_firstleftvaluemaskentryrightnegative. dst_negative_code_inverse_unique_firstleftvaluemaskentryright = ff_q_pvs_inverse_unique_firstleftvaluemaskentryrightnegative * S ((S (dc_quotient_inverse_unique_firstleftvaluemaskentry)) * dst_negative_scale_inverse_unique_firstleftvaluemaskentryright) + (dst_negative_inverse_unique_firstleftvaluemaskentryright))) /\ (exists ge_balance_positive_inverse_unique_firstleftvaluemaskentryrightvalue ge_balance_negative_inverse_unique_firstleftvaluemaskentryrightvalue. (((((dc_right_inverse_unique_firstleftvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_firstleftvaluemaskentryrightvalue) /\ (ge_balance_negative_inverse_unique_firstleftvaluemaskentryrightvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemaskentryrightvaluedecode. (((dc_right_inverse_unique_firstleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstleftvaluemaskentryrightvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftvaluemaskentryrightvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstleftvaluemaskentryrightvalue) = S ge_signed_half_inverse_unique_firstleftvaluemaskentryrightvaluedecode))) /\ ((dst_positive_inverse_unique_firstleftvaluemaskentryright) + ge_balance_negative_inverse_unique_firstleftvaluemaskentryrightvalue = (dst_negative_inverse_unique_firstleftvaluemaskentryright) + ge_balance_positive_inverse_unique_firstleftvaluemaskentryrightvalue))))))))) /\ (exists sto_ap_inverse_unique_firstleftvaluemaskentryproduct sto_an_inverse_unique_firstleftvaluemaskentryproduct sto_bp_inverse_unique_firstleftvaluemaskentryproduct sto_bn_inverse_unique_firstleftvaluemaskentryproduct sto_cp_inverse_unique_firstleftvaluemaskentryproduct sto_cn_inverse_unique_firstleftvaluemaskentryproduct. (((((dc_left_inverse_unique_firstleftvaluemaskentry) = 2 * (sto_ap_inverse_unique_firstleftvaluemaskentryproduct) /\ (sto_an_inverse_unique_firstleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemaskentryproductleft. (((dc_left_inverse_unique_firstleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstleftvaluemaskentryproductleft + 1 /\ (sto_ap_inverse_unique_firstleftvaluemaskentryproduct) = 0) /\ (sto_an_inverse_unique_firstleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstleftvaluemaskentryproductleft))) /\ ((((((dc_right_inverse_unique_firstleftvaluemaskentry) = 2 * (sto_bp_inverse_unique_firstleftvaluemaskentryproduct) /\ (sto_bn_inverse_unique_firstleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemaskentryproductright. (((dc_right_inverse_unique_firstleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstleftvaluemaskentryproductright + 1 /\ (sto_bp_inverse_unique_firstleftvaluemaskentryproduct) = 0) /\ (sto_bn_inverse_unique_firstleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstleftvaluemaskentryproductright))) /\ ((((((dc_value_inverse_unique_firstleftvaluemask) = 2 * (sto_cp_inverse_unique_firstleftvaluemaskentryproduct) /\ (sto_cn_inverse_unique_firstleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluemaskentryproductoutput. (((dc_value_inverse_unique_firstleftvaluemask) = 2 * ge_signed_half_inverse_unique_firstleftvaluemaskentryproductoutput + 1 /\ (sto_cp_inverse_unique_firstleftvaluemaskentryproduct) = 0) /\ (sto_cn_inverse_unique_firstleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstleftvaluemaskentryproductoutput))) /\ ((sto_ap_inverse_unique_firstleftvaluemaskentryproduct * sto_bp_inverse_unique_firstleftvaluemaskentryproduct + sto_an_inverse_unique_firstleftvaluemaskentryproduct * sto_bn_inverse_unique_firstleftvaluemaskentryproduct) + sto_cn_inverse_unique_firstleftvaluemaskentryproduct = (sto_ap_inverse_unique_firstleftvaluemaskentryproduct * sto_bn_inverse_unique_firstleftvaluemaskentryproduct + sto_an_inverse_unique_firstleftvaluemaskentryproduct * sto_bp_inverse_unique_firstleftvaluemaskentryproduct) + sto_cp_inverse_unique_firstleftvaluemaskentryproduct))))))))))))))) \/ ((((dc_index_inverse_unique_firstleftvaluemask)=0 \/ ~(exists pvs_factor_inverse_unique_firstleftvaluemaskentrynondivisor. (dc_input_inverse_unique_firstleft) = (dc_index_inverse_unique_firstleftvaluemask) * pvs_factor_inverse_unique_firstleftvaluemaskentrynondivisor)) /\ ((dc_value_inverse_unique_firstleftvaluemask)=0))))))) /\ (exists dst_positive_code_inverse_unique_firstleftvaluefold dst_positive_scale_inverse_unique_firstleftvaluefold dst_negative_code_inverse_unique_firstleftvaluefold dst_negative_scale_inverse_unique_firstleftvaluefold dst_positive_sum_inverse_unique_firstleftvaluefold dst_negative_sum_inverse_unique_firstleftvaluefold. (((dc_mask_inverse_unique_firstleftvalue) = (((((dst_positive_code_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold)) * S ((dst_positive_code_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold)) + ((dst_positive_scale_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold))) + (((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) * S ((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) + ((dst_negative_scale_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)))) * S ((((dst_positive_code_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold)) * S ((dst_positive_code_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold)) + ((dst_positive_scale_inverse_unique_firstleftvaluefold) + (dst_positive_scale_inverse_unique_firstleftvaluefold))) + (((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) * S ((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) + ((dst_negative_scale_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)))) + ((((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) * S ((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) + ((dst_negative_scale_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold))) + (((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) * S ((dst_negative_code_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)) + ((dst_negative_scale_inverse_unique_firstleftvaluefold) + (dst_negative_scale_inverse_unique_firstleftvaluefold)))))) /\ (((exists fs_u_dst_inverse_unique_firstleftvaluefoldpositive fs_v_dst_inverse_unique_firstleftvaluefoldpositive. ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_start. fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_start. fs_u_dst_inverse_unique_firstleftvaluefoldpositive = fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_start * S ((S (0)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive) + (0))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_terminal. fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_terminal + S (dst_positive_sum_inverse_unique_firstleftvaluefold) = S ((S (S (dc_input_inverse_unique_firstleft))) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_terminal. fs_u_dst_inverse_unique_firstleftvaluefoldpositive = fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_terminal * S ((S (S (dc_input_inverse_unique_firstleft))) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive) + (dst_positive_sum_inverse_unique_firstleftvaluefold))) /\ forall fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps. (exists fs_lt_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_bound. fs_lt_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_bound + S fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps = S (dc_input_inverse_unique_firstleft)) -> exists fs_a_dst_inverse_unique_firstleftvaluefoldpositive_body_steps fs_r_dst_inverse_unique_firstleftvaluefoldpositive_body_steps fs_s_dst_inverse_unique_firstleftvaluefoldpositive_body_steps. ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_summand. fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_summand + S (fs_a_dst_inverse_unique_firstleftvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_firstleftvaluefold)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_summand. dst_positive_code_inverse_unique_firstleftvaluefold = fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_summand * S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_firstleftvaluefold) + (fs_a_dst_inverse_unique_firstleftvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_partial. fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_partial + S (fs_r_dst_inverse_unique_firstleftvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_partial. fs_u_dst_inverse_unique_firstleftvaluefoldpositive = fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_partial * S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive) + (fs_r_dst_inverse_unique_firstleftvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_successor. fs_h_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_successor + S (fs_s_dst_inverse_unique_firstleftvaluefoldpositive_body_steps) = S ((S (S fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_successor. fs_u_dst_inverse_unique_firstleftvaluefoldpositive = fs_q_dst_inverse_unique_firstleftvaluefoldpositive_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldpositive) + (fs_s_dst_inverse_unique_firstleftvaluefoldpositive_body_steps))) /\ fs_s_dst_inverse_unique_firstleftvaluefoldpositive_body_steps = fs_r_dst_inverse_unique_firstleftvaluefoldpositive_body_steps + fs_a_dst_inverse_unique_firstleftvaluefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_inverse_unique_firstleftvaluefoldnegative fs_v_dst_inverse_unique_firstleftvaluefoldnegative. ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_start. fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_start. fs_u_dst_inverse_unique_firstleftvaluefoldnegative = fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_start * S ((S (0)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative) + (0))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_terminal. fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_terminal + S (dst_negative_sum_inverse_unique_firstleftvaluefold) = S ((S (S (dc_input_inverse_unique_firstleft))) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_terminal. fs_u_dst_inverse_unique_firstleftvaluefoldnegative = fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_terminal * S ((S (S (dc_input_inverse_unique_firstleft))) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative) + (dst_negative_sum_inverse_unique_firstleftvaluefold))) /\ forall fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps. (exists fs_lt_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_bound. fs_lt_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_bound + S fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps = S (dc_input_inverse_unique_firstleft)) -> exists fs_a_dst_inverse_unique_firstleftvaluefoldnegative_body_steps fs_r_dst_inverse_unique_firstleftvaluefoldnegative_body_steps fs_s_dst_inverse_unique_firstleftvaluefoldnegative_body_steps. ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_summand. fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_summand + S (fs_a_dst_inverse_unique_firstleftvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_firstleftvaluefold)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_summand. dst_negative_code_inverse_unique_firstleftvaluefold = fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_summand * S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_firstleftvaluefold) + (fs_a_dst_inverse_unique_firstleftvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_partial. fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_partial + S (fs_r_dst_inverse_unique_firstleftvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_partial. fs_u_dst_inverse_unique_firstleftvaluefoldnegative = fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_partial * S ((S (fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative) + (fs_r_dst_inverse_unique_firstleftvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_successor. fs_h_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_successor + S (fs_s_dst_inverse_unique_firstleftvaluefoldnegative_body_steps) = S ((S (S fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_successor. fs_u_dst_inverse_unique_firstleftvaluefoldnegative = fs_q_dst_inverse_unique_firstleftvaluefoldnegative_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstleftvaluefoldnegative) + (fs_s_dst_inverse_unique_firstleftvaluefoldnegative_body_steps))) /\ fs_s_dst_inverse_unique_firstleftvaluefoldnegative_body_steps = fs_r_dst_inverse_unique_firstleftvaluefoldnegative_body_steps + fs_a_dst_inverse_unique_firstleftvaluefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_inverse_unique_firstleftvaluefoldresult ge_balance_negative_inverse_unique_firstleftvaluefoldresult. (((((dc_output_inverse_unique_firstleft) = 2 * (ge_balance_positive_inverse_unique_firstleftvaluefoldresult) /\ (ge_balance_negative_inverse_unique_firstleftvaluefoldresult) = 0) \/ exists ge_signed_half_inverse_unique_firstleftvaluefoldresultdecode. (((dc_output_inverse_unique_firstleft) = 2 * ge_signed_half_inverse_unique_firstleftvaluefoldresultdecode + 1 /\ (ge_balance_positive_inverse_unique_firstleftvaluefoldresult) = 0) /\ (ge_balance_negative_inverse_unique_firstleftvaluefoldresult) = S ge_signed_half_inverse_unique_firstleftvaluefoldresultdecode))) /\ ((dst_positive_sum_inverse_unique_firstleftvaluefold) + ge_balance_negative_inverse_unique_firstleftvaluefoldresult = (dst_negative_sum_inverse_unique_firstleftvaluefold) + ge_balance_positive_inverse_unique_firstleftvaluefoldresult)))))))))))))))))))) /\ (((exists dst_positive_code_inverse_unique_firstrightleft dst_positive_scale_inverse_unique_firstrightleft dst_negative_code_inverse_unique_firstrightleft dst_negative_scale_inverse_unique_firstrightleft. (((G) = (((((dst_positive_code_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft)) * S ((dst_positive_code_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft)) + ((dst_positive_scale_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft))) + (((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) * S ((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) + ((dst_negative_scale_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)))) * S ((((dst_positive_code_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft)) * S ((dst_positive_code_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft)) + ((dst_positive_scale_inverse_unique_firstrightleft) + (dst_positive_scale_inverse_unique_firstrightleft))) + (((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) * S ((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) + ((dst_negative_scale_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)))) + ((((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) * S ((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) + ((dst_negative_scale_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft))) + (((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) * S ((dst_negative_code_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)) + ((dst_negative_scale_inverse_unique_firstrightleft) + (dst_negative_scale_inverse_unique_firstrightleft)))))) /\ (forall dst_index_inverse_unique_firstrightleft. (exists pvs_le_gap_inverse_unique_firstrightleftdomain. pvs_le_gap_inverse_unique_firstrightleftdomain + (dst_index_inverse_unique_firstrightleft) = (N)) -> exists dst_positive_inverse_unique_firstrightleft dst_negative_inverse_unique_firstrightleft dst_value_inverse_unique_firstrightleft. ((((exists ff_h_pvs_inverse_unique_firstrightleftentrypositive. ff_h_pvs_inverse_unique_firstrightleftentrypositive + S (dst_positive_inverse_unique_firstrightleft) = S ((S (dst_index_inverse_unique_firstrightleft)) * dst_positive_scale_inverse_unique_firstrightleft)) /\ exists ff_q_pvs_inverse_unique_firstrightleftentrypositive. dst_positive_code_inverse_unique_firstrightleft = ff_q_pvs_inverse_unique_firstrightleftentrypositive * S ((S (dst_index_inverse_unique_firstrightleft)) * dst_positive_scale_inverse_unique_firstrightleft) + (dst_positive_inverse_unique_firstrightleft))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightleftentrynegative. ff_h_pvs_inverse_unique_firstrightleftentrynegative + S (dst_negative_inverse_unique_firstrightleft) = S ((S (dst_index_inverse_unique_firstrightleft)) * dst_negative_scale_inverse_unique_firstrightleft)) /\ exists ff_q_pvs_inverse_unique_firstrightleftentrynegative. dst_negative_code_inverse_unique_firstrightleft = ff_q_pvs_inverse_unique_firstrightleftentrynegative * S ((S (dst_index_inverse_unique_firstrightleft)) * dst_negative_scale_inverse_unique_firstrightleft) + (dst_negative_inverse_unique_firstrightleft))) /\ (exists ge_balance_positive_inverse_unique_firstrightleftentryvalue ge_balance_negative_inverse_unique_firstrightleftentryvalue. (((((dst_value_inverse_unique_firstrightleft) = 2 * (ge_balance_positive_inverse_unique_firstrightleftentryvalue) /\ (ge_balance_negative_inverse_unique_firstrightleftentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightleftentryvaluedecode. (((dst_value_inverse_unique_firstrightleft) = 2 * ge_signed_half_inverse_unique_firstrightleftentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightleftentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightleftentryvalue) = S ge_signed_half_inverse_unique_firstrightleftentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightleft) + ge_balance_negative_inverse_unique_firstrightleftentryvalue = (dst_negative_inverse_unique_firstrightleft) + ge_balance_positive_inverse_unique_firstrightleftentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstrightright dst_positive_scale_inverse_unique_firstrightright dst_negative_code_inverse_unique_firstrightright dst_negative_scale_inverse_unique_firstrightright. (((F) = (((((dst_positive_code_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright)) * S ((dst_positive_code_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright)) + ((dst_positive_scale_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright))) + (((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) * S ((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) + ((dst_negative_scale_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)))) * S ((((dst_positive_code_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright)) * S ((dst_positive_code_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright)) + ((dst_positive_scale_inverse_unique_firstrightright) + (dst_positive_scale_inverse_unique_firstrightright))) + (((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) * S ((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) + ((dst_negative_scale_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)))) + ((((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) * S ((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) + ((dst_negative_scale_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright))) + (((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) * S ((dst_negative_code_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)) + ((dst_negative_scale_inverse_unique_firstrightright) + (dst_negative_scale_inverse_unique_firstrightright)))))) /\ (forall dst_index_inverse_unique_firstrightright. (exists pvs_le_gap_inverse_unique_firstrightrightdomain. pvs_le_gap_inverse_unique_firstrightrightdomain + (dst_index_inverse_unique_firstrightright) = (N)) -> exists dst_positive_inverse_unique_firstrightright dst_negative_inverse_unique_firstrightright dst_value_inverse_unique_firstrightright. ((((exists ff_h_pvs_inverse_unique_firstrightrightentrypositive. ff_h_pvs_inverse_unique_firstrightrightentrypositive + S (dst_positive_inverse_unique_firstrightright) = S ((S (dst_index_inverse_unique_firstrightright)) * dst_positive_scale_inverse_unique_firstrightright)) /\ exists ff_q_pvs_inverse_unique_firstrightrightentrypositive. dst_positive_code_inverse_unique_firstrightright = ff_q_pvs_inverse_unique_firstrightrightentrypositive * S ((S (dst_index_inverse_unique_firstrightright)) * dst_positive_scale_inverse_unique_firstrightright) + (dst_positive_inverse_unique_firstrightright))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightrightentrynegative. ff_h_pvs_inverse_unique_firstrightrightentrynegative + S (dst_negative_inverse_unique_firstrightright) = S ((S (dst_index_inverse_unique_firstrightright)) * dst_negative_scale_inverse_unique_firstrightright)) /\ exists ff_q_pvs_inverse_unique_firstrightrightentrynegative. dst_negative_code_inverse_unique_firstrightright = ff_q_pvs_inverse_unique_firstrightrightentrynegative * S ((S (dst_index_inverse_unique_firstrightright)) * dst_negative_scale_inverse_unique_firstrightright) + (dst_negative_inverse_unique_firstrightright))) /\ (exists ge_balance_positive_inverse_unique_firstrightrightentryvalue ge_balance_negative_inverse_unique_firstrightrightentryvalue. (((((dst_value_inverse_unique_firstrightright) = 2 * (ge_balance_positive_inverse_unique_firstrightrightentryvalue) /\ (ge_balance_negative_inverse_unique_firstrightrightentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightrightentryvaluedecode. (((dst_value_inverse_unique_firstrightright) = 2 * ge_signed_half_inverse_unique_firstrightrightentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightrightentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightrightentryvalue) = S ge_signed_half_inverse_unique_firstrightrightentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightright) + ge_balance_negative_inverse_unique_firstrightrightentryvalue = (dst_negative_inverse_unique_firstrightright) + ge_balance_positive_inverse_unique_firstrightrightentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstrighttable dst_positive_scale_inverse_unique_firstrighttable dst_negative_code_inverse_unique_firstrighttable dst_negative_scale_inverse_unique_firstrighttable. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable)) * S ((dst_positive_code_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable)) + ((dst_positive_scale_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable))) + (((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) * S ((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) + ((dst_negative_scale_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)))) * S ((((dst_positive_code_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable)) * S ((dst_positive_code_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable)) + ((dst_positive_scale_inverse_unique_firstrighttable) + (dst_positive_scale_inverse_unique_firstrighttable))) + (((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) * S ((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) + ((dst_negative_scale_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)))) + ((((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) * S ((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) + ((dst_negative_scale_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable))) + (((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) * S ((dst_negative_code_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)) + ((dst_negative_scale_inverse_unique_firstrighttable) + (dst_negative_scale_inverse_unique_firstrighttable)))))) /\ (forall dst_index_inverse_unique_firstrighttable. (exists pvs_le_gap_inverse_unique_firstrighttabledomain. pvs_le_gap_inverse_unique_firstrighttabledomain + (dst_index_inverse_unique_firstrighttable) = (N)) -> exists dst_positive_inverse_unique_firstrighttable dst_negative_inverse_unique_firstrighttable dst_value_inverse_unique_firstrighttable. ((((exists ff_h_pvs_inverse_unique_firstrighttableentrypositive. ff_h_pvs_inverse_unique_firstrighttableentrypositive + S (dst_positive_inverse_unique_firstrighttable) = S ((S (dst_index_inverse_unique_firstrighttable)) * dst_positive_scale_inverse_unique_firstrighttable)) /\ exists ff_q_pvs_inverse_unique_firstrighttableentrypositive. dst_positive_code_inverse_unique_firstrighttable = ff_q_pvs_inverse_unique_firstrighttableentrypositive * S ((S (dst_index_inverse_unique_firstrighttable)) * dst_positive_scale_inverse_unique_firstrighttable) + (dst_positive_inverse_unique_firstrighttable))) /\ (((((exists ff_h_pvs_inverse_unique_firstrighttableentrynegative. ff_h_pvs_inverse_unique_firstrighttableentrynegative + S (dst_negative_inverse_unique_firstrighttable) = S ((S (dst_index_inverse_unique_firstrighttable)) * dst_negative_scale_inverse_unique_firstrighttable)) /\ exists ff_q_pvs_inverse_unique_firstrighttableentrynegative. dst_negative_code_inverse_unique_firstrighttable = ff_q_pvs_inverse_unique_firstrighttableentrynegative * S ((S (dst_index_inverse_unique_firstrighttable)) * dst_negative_scale_inverse_unique_firstrighttable) + (dst_negative_inverse_unique_firstrighttable))) /\ (exists ge_balance_positive_inverse_unique_firstrighttableentryvalue ge_balance_negative_inverse_unique_firstrighttableentryvalue. (((((dst_value_inverse_unique_firstrighttable) = 2 * (ge_balance_positive_inverse_unique_firstrighttableentryvalue) /\ (ge_balance_negative_inverse_unique_firstrighttableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrighttableentryvaluedecode. (((dst_value_inverse_unique_firstrighttable) = 2 * ge_signed_half_inverse_unique_firstrighttableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrighttableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrighttableentryvalue) = S ge_signed_half_inverse_unique_firstrighttableentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstrighttable) + ge_balance_negative_inverse_unique_firstrighttableentryvalue = (dst_negative_inverse_unique_firstrighttable) + ge_balance_positive_inverse_unique_firstrighttableentryvalue))))))))) /\ (forall dc_input_inverse_unique_firstright dc_output_inverse_unique_firstright. ~(dc_input_inverse_unique_firstright=0) -> (exists pvs_le_gap_inverse_unique_firstrightdomain. pvs_le_gap_inverse_unique_firstrightdomain + (dc_input_inverse_unique_firstright) = (N)) -> (exists dst_positive_code_inverse_unique_firstrightlookup dst_positive_scale_inverse_unique_firstrightlookup dst_negative_code_inverse_unique_firstrightlookup dst_negative_scale_inverse_unique_firstrightlookup dst_positive_inverse_unique_firstrightlookup dst_negative_inverse_unique_firstrightlookup. (((di_delta_inverse_unique_first) = (((((dst_positive_code_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup)) * S ((dst_positive_code_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup)) + ((dst_positive_scale_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup))) + (((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) * S ((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) + ((dst_negative_scale_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)))) * S ((((dst_positive_code_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup)) * S ((dst_positive_code_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup)) + ((dst_positive_scale_inverse_unique_firstrightlookup) + (dst_positive_scale_inverse_unique_firstrightlookup))) + (((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) * S ((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) + ((dst_negative_scale_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)))) + ((((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) * S ((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) + ((dst_negative_scale_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup))) + (((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) * S ((dst_negative_code_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)) + ((dst_negative_scale_inverse_unique_firstrightlookup) + (dst_negative_scale_inverse_unique_firstrightlookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightlookuppositive. ff_h_pvs_inverse_unique_firstrightlookuppositive + S (dst_positive_inverse_unique_firstrightlookup) = S ((S (dc_input_inverse_unique_firstright)) * dst_positive_scale_inverse_unique_firstrightlookup)) /\ exists ff_q_pvs_inverse_unique_firstrightlookuppositive. dst_positive_code_inverse_unique_firstrightlookup = ff_q_pvs_inverse_unique_firstrightlookuppositive * S ((S (dc_input_inverse_unique_firstright)) * dst_positive_scale_inverse_unique_firstrightlookup) + (dst_positive_inverse_unique_firstrightlookup))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightlookupnegative. ff_h_pvs_inverse_unique_firstrightlookupnegative + S (dst_negative_inverse_unique_firstrightlookup) = S ((S (dc_input_inverse_unique_firstright)) * dst_negative_scale_inverse_unique_firstrightlookup)) /\ exists ff_q_pvs_inverse_unique_firstrightlookupnegative. dst_negative_code_inverse_unique_firstrightlookup = ff_q_pvs_inverse_unique_firstrightlookupnegative * S ((S (dc_input_inverse_unique_firstright)) * dst_negative_scale_inverse_unique_firstrightlookup) + (dst_negative_inverse_unique_firstrightlookup))) /\ (exists ge_balance_positive_inverse_unique_firstrightlookupvalue ge_balance_negative_inverse_unique_firstrightlookupvalue. (((((dc_output_inverse_unique_firstright) = 2 * (ge_balance_positive_inverse_unique_firstrightlookupvalue) /\ (ge_balance_negative_inverse_unique_firstrightlookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightlookupvaluedecode. (((dc_output_inverse_unique_firstright) = 2 * ge_signed_half_inverse_unique_firstrightlookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightlookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightlookupvalue) = S ge_signed_half_inverse_unique_firstrightlookupvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightlookup) + ge_balance_negative_inverse_unique_firstrightlookupvalue = (dst_negative_inverse_unique_firstrightlookup) + ge_balance_positive_inverse_unique_firstrightlookupvalue))))))))) -> (((~((dc_input_inverse_unique_firstright)=0)) /\ (exists dc_mask_inverse_unique_firstrightvalue. ((((exists dst_positive_code_inverse_unique_firstrightvaluemasktable dst_positive_scale_inverse_unique_firstrightvaluemasktable dst_negative_code_inverse_unique_firstrightvaluemasktable dst_negative_scale_inverse_unique_firstrightvaluemasktable. (((dc_mask_inverse_unique_firstrightvalue) = (((((dst_positive_code_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_positive_code_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_positive_scale_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable))) + (((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)))) * S ((((dst_positive_code_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_positive_code_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_positive_scale_inverse_unique_firstrightvaluemasktable) + (dst_positive_scale_inverse_unique_firstrightvaluemasktable))) + (((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)))) + ((((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable))) + (((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasktable) + (dst_negative_scale_inverse_unique_firstrightvaluemasktable)))))) /\ (forall dst_index_inverse_unique_firstrightvaluemasktable. (exists pvs_le_gap_inverse_unique_firstrightvaluemasktabledomain. pvs_le_gap_inverse_unique_firstrightvaluemasktabledomain + (dst_index_inverse_unique_firstrightvaluemasktable) = (dc_input_inverse_unique_firstright)) -> exists dst_positive_inverse_unique_firstrightvaluemasktable dst_negative_inverse_unique_firstrightvaluemasktable dst_value_inverse_unique_firstrightvaluemasktable. ((((exists ff_h_pvs_inverse_unique_firstrightvaluemasktableentrypositive. ff_h_pvs_inverse_unique_firstrightvaluemasktableentrypositive + S (dst_positive_inverse_unique_firstrightvaluemasktable) = S ((S (dst_index_inverse_unique_firstrightvaluemasktable)) * dst_positive_scale_inverse_unique_firstrightvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemasktableentrypositive. dst_positive_code_inverse_unique_firstrightvaluemasktable = ff_q_pvs_inverse_unique_firstrightvaluemasktableentrypositive * S ((S (dst_index_inverse_unique_firstrightvaluemasktable)) * dst_positive_scale_inverse_unique_firstrightvaluemasktable) + (dst_positive_inverse_unique_firstrightvaluemasktable))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemasktableentrynegative. ff_h_pvs_inverse_unique_firstrightvaluemasktableentrynegative + S (dst_negative_inverse_unique_firstrightvaluemasktable) = S ((S (dst_index_inverse_unique_firstrightvaluemasktable)) * dst_negative_scale_inverse_unique_firstrightvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemasktableentrynegative. dst_negative_code_inverse_unique_firstrightvaluemasktable = ff_q_pvs_inverse_unique_firstrightvaluemasktableentrynegative * S ((S (dst_index_inverse_unique_firstrightvaluemasktable)) * dst_negative_scale_inverse_unique_firstrightvaluemasktable) + (dst_negative_inverse_unique_firstrightvaluemasktable))) /\ (exists ge_balance_positive_inverse_unique_firstrightvaluemasktableentryvalue ge_balance_negative_inverse_unique_firstrightvaluemasktableentryvalue. (((((dst_value_inverse_unique_firstrightvaluemasktable) = 2 * (ge_balance_positive_inverse_unique_firstrightvaluemasktableentryvalue) /\ (ge_balance_negative_inverse_unique_firstrightvaluemasktableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemasktableentryvaluedecode. (((dst_value_inverse_unique_firstrightvaluemasktable) = 2 * ge_signed_half_inverse_unique_firstrightvaluemasktableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightvaluemasktableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightvaluemasktableentryvalue) = S ge_signed_half_inverse_unique_firstrightvaluemasktableentryvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightvaluemasktable) + ge_balance_negative_inverse_unique_firstrightvaluemasktableentryvalue = (dst_negative_inverse_unique_firstrightvaluemasktable) + ge_balance_positive_inverse_unique_firstrightvaluemasktableentryvalue))))))))) /\ (forall dc_index_inverse_unique_firstrightvaluemask dc_value_inverse_unique_firstrightvaluemask. (exists pvs_le_gap_inverse_unique_firstrightvaluemaskdomain. pvs_le_gap_inverse_unique_firstrightvaluemaskdomain + (dc_index_inverse_unique_firstrightvaluemask) = (dc_input_inverse_unique_firstright)) -> (exists dst_positive_code_inverse_unique_firstrightvaluemasklookup dst_positive_scale_inverse_unique_firstrightvaluemasklookup dst_negative_code_inverse_unique_firstrightvaluemasklookup dst_negative_scale_inverse_unique_firstrightvaluemasklookup dst_positive_inverse_unique_firstrightvaluemasklookup dst_negative_inverse_unique_firstrightvaluemasklookup. (((dc_mask_inverse_unique_firstrightvalue) = (((((dst_positive_code_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_positive_code_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_positive_scale_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)))) * S ((((dst_positive_code_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_positive_code_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_positive_scale_inverse_unique_firstrightvaluemasklookup) + (dst_positive_scale_inverse_unique_firstrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)))) + ((((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_firstrightvaluemasklookup) + (dst_negative_scale_inverse_unique_firstrightvaluemasklookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemasklookuppositive. ff_h_pvs_inverse_unique_firstrightvaluemasklookuppositive + S (dst_positive_inverse_unique_firstrightvaluemasklookup) = S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_positive_scale_inverse_unique_firstrightvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemasklookuppositive. dst_positive_code_inverse_unique_firstrightvaluemasklookup = ff_q_pvs_inverse_unique_firstrightvaluemasklookuppositive * S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_positive_scale_inverse_unique_firstrightvaluemasklookup) + (dst_positive_inverse_unique_firstrightvaluemasklookup))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemasklookupnegative. ff_h_pvs_inverse_unique_firstrightvaluemasklookupnegative + S (dst_negative_inverse_unique_firstrightvaluemasklookup) = S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_negative_scale_inverse_unique_firstrightvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemasklookupnegative. dst_negative_code_inverse_unique_firstrightvaluemasklookup = ff_q_pvs_inverse_unique_firstrightvaluemasklookupnegative * S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_negative_scale_inverse_unique_firstrightvaluemasklookup) + (dst_negative_inverse_unique_firstrightvaluemasklookup))) /\ (exists ge_balance_positive_inverse_unique_firstrightvaluemasklookupvalue ge_balance_negative_inverse_unique_firstrightvaluemasklookupvalue. (((((dc_value_inverse_unique_firstrightvaluemask) = 2 * (ge_balance_positive_inverse_unique_firstrightvaluemasklookupvalue) /\ (ge_balance_negative_inverse_unique_firstrightvaluemasklookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemasklookupvaluedecode. (((dc_value_inverse_unique_firstrightvaluemask) = 2 * ge_signed_half_inverse_unique_firstrightvaluemasklookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightvaluemasklookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightvaluemasklookupvalue) = S ge_signed_half_inverse_unique_firstrightvaluemasklookupvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightvaluemasklookup) + ge_balance_negative_inverse_unique_firstrightvaluemasklookupvalue = (dst_negative_inverse_unique_firstrightvaluemasklookup) + ge_balance_positive_inverse_unique_firstrightvaluemasklookupvalue))))))))) -> ((((~((dc_index_inverse_unique_firstrightvaluemask)=0)) /\ (exists dc_quotient_inverse_unique_firstrightvaluemaskentry dc_left_inverse_unique_firstrightvaluemaskentry dc_right_inverse_unique_firstrightvaluemaskentry. (((dc_input_inverse_unique_firstright)=(dc_index_inverse_unique_firstrightvaluemask)*dc_quotient_inverse_unique_firstrightvaluemaskentry) /\ (((exists dst_positive_code_inverse_unique_firstrightvaluemaskentryleft dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft dst_negative_code_inverse_unique_firstrightvaluemaskentryleft dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft dst_positive_inverse_unique_firstrightvaluemaskentryleft dst_negative_inverse_unique_firstrightvaluemaskentryleft. (((G) = (((((dst_positive_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)))) * S ((((dst_positive_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)))) + ((((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemaskentryleftpositive. ff_h_pvs_inverse_unique_firstrightvaluemaskentryleftpositive + S (dst_positive_inverse_unique_firstrightvaluemaskentryleft) = S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemaskentryleftpositive. dst_positive_code_inverse_unique_firstrightvaluemaskentryleft = ff_q_pvs_inverse_unique_firstrightvaluemaskentryleftpositive * S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_positive_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_positive_inverse_unique_firstrightvaluemaskentryleft))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemaskentryleftnegative. ff_h_pvs_inverse_unique_firstrightvaluemaskentryleftnegative + S (dst_negative_inverse_unique_firstrightvaluemaskentryleft) = S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemaskentryleftnegative. dst_negative_code_inverse_unique_firstrightvaluemaskentryleft = ff_q_pvs_inverse_unique_firstrightvaluemaskentryleftnegative * S ((S (dc_index_inverse_unique_firstrightvaluemask)) * dst_negative_scale_inverse_unique_firstrightvaluemaskentryleft) + (dst_negative_inverse_unique_firstrightvaluemaskentryleft))) /\ (exists ge_balance_positive_inverse_unique_firstrightvaluemaskentryleftvalue ge_balance_negative_inverse_unique_firstrightvaluemaskentryleftvalue. (((((dc_left_inverse_unique_firstrightvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_firstrightvaluemaskentryleftvalue) /\ (ge_balance_negative_inverse_unique_firstrightvaluemaskentryleftvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemaskentryleftvaluedecode. (((dc_left_inverse_unique_firstrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstrightvaluemaskentryleftvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightvaluemaskentryleftvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightvaluemaskentryleftvalue) = S ge_signed_half_inverse_unique_firstrightvaluemaskentryleftvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightvaluemaskentryleft) + ge_balance_negative_inverse_unique_firstrightvaluemaskentryleftvalue = (dst_negative_inverse_unique_firstrightvaluemaskentryleft) + ge_balance_positive_inverse_unique_firstrightvaluemaskentryleftvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_firstrightvaluemaskentryright dst_positive_scale_inverse_unique_firstrightvaluemaskentryright dst_negative_code_inverse_unique_firstrightvaluemaskentryright dst_negative_scale_inverse_unique_firstrightvaluemaskentryright dst_positive_inverse_unique_firstrightvaluemaskentryright dst_negative_inverse_unique_firstrightvaluemaskentryright. (((F) = (((((dst_positive_code_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)))) * S ((((dst_positive_code_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_firstrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)))) + ((((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)))))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemaskentryrightpositive. ff_h_pvs_inverse_unique_firstrightvaluemaskentryrightpositive + S (dst_positive_inverse_unique_firstrightvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_firstrightvaluemaskentry)) * dst_positive_scale_inverse_unique_firstrightvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemaskentryrightpositive. dst_positive_code_inverse_unique_firstrightvaluemaskentryright = ff_q_pvs_inverse_unique_firstrightvaluemaskentryrightpositive * S ((S (dc_quotient_inverse_unique_firstrightvaluemaskentry)) * dst_positive_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_positive_inverse_unique_firstrightvaluemaskentryright))) /\ (((((exists ff_h_pvs_inverse_unique_firstrightvaluemaskentryrightnegative. ff_h_pvs_inverse_unique_firstrightvaluemaskentryrightnegative + S (dst_negative_inverse_unique_firstrightvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_firstrightvaluemaskentry)) * dst_negative_scale_inverse_unique_firstrightvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_firstrightvaluemaskentryrightnegative. dst_negative_code_inverse_unique_firstrightvaluemaskentryright = ff_q_pvs_inverse_unique_firstrightvaluemaskentryrightnegative * S ((S (dc_quotient_inverse_unique_firstrightvaluemaskentry)) * dst_negative_scale_inverse_unique_firstrightvaluemaskentryright) + (dst_negative_inverse_unique_firstrightvaluemaskentryright))) /\ (exists ge_balance_positive_inverse_unique_firstrightvaluemaskentryrightvalue ge_balance_negative_inverse_unique_firstrightvaluemaskentryrightvalue. (((((dc_right_inverse_unique_firstrightvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_firstrightvaluemaskentryrightvalue) /\ (ge_balance_negative_inverse_unique_firstrightvaluemaskentryrightvalue) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemaskentryrightvaluedecode. (((dc_right_inverse_unique_firstrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstrightvaluemaskentryrightvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightvaluemaskentryrightvalue) = 0) /\ (ge_balance_negative_inverse_unique_firstrightvaluemaskentryrightvalue) = S ge_signed_half_inverse_unique_firstrightvaluemaskentryrightvaluedecode))) /\ ((dst_positive_inverse_unique_firstrightvaluemaskentryright) + ge_balance_negative_inverse_unique_firstrightvaluemaskentryrightvalue = (dst_negative_inverse_unique_firstrightvaluemaskentryright) + ge_balance_positive_inverse_unique_firstrightvaluemaskentryrightvalue))))))))) /\ (exists sto_ap_inverse_unique_firstrightvaluemaskentryproduct sto_an_inverse_unique_firstrightvaluemaskentryproduct sto_bp_inverse_unique_firstrightvaluemaskentryproduct sto_bn_inverse_unique_firstrightvaluemaskentryproduct sto_cp_inverse_unique_firstrightvaluemaskentryproduct sto_cn_inverse_unique_firstrightvaluemaskentryproduct. (((((dc_left_inverse_unique_firstrightvaluemaskentry) = 2 * (sto_ap_inverse_unique_firstrightvaluemaskentryproduct) /\ (sto_an_inverse_unique_firstrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemaskentryproductleft. (((dc_left_inverse_unique_firstrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstrightvaluemaskentryproductleft + 1 /\ (sto_ap_inverse_unique_firstrightvaluemaskentryproduct) = 0) /\ (sto_an_inverse_unique_firstrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstrightvaluemaskentryproductleft))) /\ ((((((dc_right_inverse_unique_firstrightvaluemaskentry) = 2 * (sto_bp_inverse_unique_firstrightvaluemaskentryproduct) /\ (sto_bn_inverse_unique_firstrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemaskentryproductright. (((dc_right_inverse_unique_firstrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_firstrightvaluemaskentryproductright + 1 /\ (sto_bp_inverse_unique_firstrightvaluemaskentryproduct) = 0) /\ (sto_bn_inverse_unique_firstrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstrightvaluemaskentryproductright))) /\ ((((((dc_value_inverse_unique_firstrightvaluemask) = 2 * (sto_cp_inverse_unique_firstrightvaluemaskentryproduct) /\ (sto_cn_inverse_unique_firstrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluemaskentryproductoutput. (((dc_value_inverse_unique_firstrightvaluemask) = 2 * ge_signed_half_inverse_unique_firstrightvaluemaskentryproductoutput + 1 /\ (sto_cp_inverse_unique_firstrightvaluemaskentryproduct) = 0) /\ (sto_cn_inverse_unique_firstrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_firstrightvaluemaskentryproductoutput))) /\ ((sto_ap_inverse_unique_firstrightvaluemaskentryproduct * sto_bp_inverse_unique_firstrightvaluemaskentryproduct + sto_an_inverse_unique_firstrightvaluemaskentryproduct * sto_bn_inverse_unique_firstrightvaluemaskentryproduct) + sto_cn_inverse_unique_firstrightvaluemaskentryproduct = (sto_ap_inverse_unique_firstrightvaluemaskentryproduct * sto_bn_inverse_unique_firstrightvaluemaskentryproduct + sto_an_inverse_unique_firstrightvaluemaskentryproduct * sto_bp_inverse_unique_firstrightvaluemaskentryproduct) + sto_cp_inverse_unique_firstrightvaluemaskentryproduct))))))))))))))) \/ ((((dc_index_inverse_unique_firstrightvaluemask)=0 \/ ~(exists pvs_factor_inverse_unique_firstrightvaluemaskentrynondivisor. (dc_input_inverse_unique_firstright) = (dc_index_inverse_unique_firstrightvaluemask) * pvs_factor_inverse_unique_firstrightvaluemaskentrynondivisor)) /\ ((dc_value_inverse_unique_firstrightvaluemask)=0))))))) /\ (exists dst_positive_code_inverse_unique_firstrightvaluefold dst_positive_scale_inverse_unique_firstrightvaluefold dst_negative_code_inverse_unique_firstrightvaluefold dst_negative_scale_inverse_unique_firstrightvaluefold dst_positive_sum_inverse_unique_firstrightvaluefold dst_negative_sum_inverse_unique_firstrightvaluefold. (((dc_mask_inverse_unique_firstrightvalue) = (((((dst_positive_code_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold)) * S ((dst_positive_code_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold)) + ((dst_positive_scale_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold))) + (((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) * S ((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) + ((dst_negative_scale_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)))) * S ((((dst_positive_code_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold)) * S ((dst_positive_code_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold)) + ((dst_positive_scale_inverse_unique_firstrightvaluefold) + (dst_positive_scale_inverse_unique_firstrightvaluefold))) + (((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) * S ((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) + ((dst_negative_scale_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)))) + ((((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) * S ((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) + ((dst_negative_scale_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold))) + (((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) * S ((dst_negative_code_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)) + ((dst_negative_scale_inverse_unique_firstrightvaluefold) + (dst_negative_scale_inverse_unique_firstrightvaluefold)))))) /\ (((exists fs_u_dst_inverse_unique_firstrightvaluefoldpositive fs_v_dst_inverse_unique_firstrightvaluefoldpositive. ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_start. fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_start. fs_u_dst_inverse_unique_firstrightvaluefoldpositive = fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_start * S ((S (0)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive) + (0))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_terminal. fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_terminal + S (dst_positive_sum_inverse_unique_firstrightvaluefold) = S ((S (S (dc_input_inverse_unique_firstright))) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_terminal. fs_u_dst_inverse_unique_firstrightvaluefoldpositive = fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_terminal * S ((S (S (dc_input_inverse_unique_firstright))) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive) + (dst_positive_sum_inverse_unique_firstrightvaluefold))) /\ forall fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps. (exists fs_lt_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_bound. fs_lt_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_bound + S fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps = S (dc_input_inverse_unique_firstright)) -> exists fs_a_dst_inverse_unique_firstrightvaluefoldpositive_body_steps fs_r_dst_inverse_unique_firstrightvaluefoldpositive_body_steps fs_s_dst_inverse_unique_firstrightvaluefoldpositive_body_steps. ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_summand. fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_summand + S (fs_a_dst_inverse_unique_firstrightvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_firstrightvaluefold)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_summand. dst_positive_code_inverse_unique_firstrightvaluefold = fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_summand * S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_firstrightvaluefold) + (fs_a_dst_inverse_unique_firstrightvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_partial. fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_partial + S (fs_r_dst_inverse_unique_firstrightvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_partial. fs_u_dst_inverse_unique_firstrightvaluefoldpositive = fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_partial * S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive) + (fs_r_dst_inverse_unique_firstrightvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_successor. fs_h_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_successor + S (fs_s_dst_inverse_unique_firstrightvaluefoldpositive_body_steps) = S ((S (S fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_successor. fs_u_dst_inverse_unique_firstrightvaluefoldpositive = fs_q_dst_inverse_unique_firstrightvaluefoldpositive_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldpositive) + (fs_s_dst_inverse_unique_firstrightvaluefoldpositive_body_steps))) /\ fs_s_dst_inverse_unique_firstrightvaluefoldpositive_body_steps = fs_r_dst_inverse_unique_firstrightvaluefoldpositive_body_steps + fs_a_dst_inverse_unique_firstrightvaluefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_inverse_unique_firstrightvaluefoldnegative fs_v_dst_inverse_unique_firstrightvaluefoldnegative. ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_start. fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_start. fs_u_dst_inverse_unique_firstrightvaluefoldnegative = fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_start * S ((S (0)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative) + (0))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_terminal. fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_terminal + S (dst_negative_sum_inverse_unique_firstrightvaluefold) = S ((S (S (dc_input_inverse_unique_firstright))) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_terminal. fs_u_dst_inverse_unique_firstrightvaluefoldnegative = fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_terminal * S ((S (S (dc_input_inverse_unique_firstright))) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative) + (dst_negative_sum_inverse_unique_firstrightvaluefold))) /\ forall fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps. (exists fs_lt_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_bound. fs_lt_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_bound + S fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps = S (dc_input_inverse_unique_firstright)) -> exists fs_a_dst_inverse_unique_firstrightvaluefoldnegative_body_steps fs_r_dst_inverse_unique_firstrightvaluefoldnegative_body_steps fs_s_dst_inverse_unique_firstrightvaluefoldnegative_body_steps. ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_summand. fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_summand + S (fs_a_dst_inverse_unique_firstrightvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_firstrightvaluefold)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_summand. dst_negative_code_inverse_unique_firstrightvaluefold = fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_summand * S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_firstrightvaluefold) + (fs_a_dst_inverse_unique_firstrightvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_partial. fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_partial + S (fs_r_dst_inverse_unique_firstrightvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_partial. fs_u_dst_inverse_unique_firstrightvaluefoldnegative = fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_partial * S ((S (fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative) + (fs_r_dst_inverse_unique_firstrightvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_successor. fs_h_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_successor + S (fs_s_dst_inverse_unique_firstrightvaluefoldnegative_body_steps) = S ((S (S fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_successor. fs_u_dst_inverse_unique_firstrightvaluefoldnegative = fs_q_dst_inverse_unique_firstrightvaluefoldnegative_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_firstrightvaluefoldnegative) + (fs_s_dst_inverse_unique_firstrightvaluefoldnegative_body_steps))) /\ fs_s_dst_inverse_unique_firstrightvaluefoldnegative_body_steps = fs_r_dst_inverse_unique_firstrightvaluefoldnegative_body_steps + fs_a_dst_inverse_unique_firstrightvaluefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_inverse_unique_firstrightvaluefoldresult ge_balance_negative_inverse_unique_firstrightvaluefoldresult. (((((dc_output_inverse_unique_firstright) = 2 * (ge_balance_positive_inverse_unique_firstrightvaluefoldresult) /\ (ge_balance_negative_inverse_unique_firstrightvaluefoldresult) = 0) \/ exists ge_signed_half_inverse_unique_firstrightvaluefoldresultdecode. (((dc_output_inverse_unique_firstright) = 2 * ge_signed_half_inverse_unique_firstrightvaluefoldresultdecode + 1 /\ (ge_balance_positive_inverse_unique_firstrightvaluefoldresult) = 0) /\ (ge_balance_negative_inverse_unique_firstrightvaluefoldresult) = S ge_signed_half_inverse_unique_firstrightvaluefoldresultdecode))) /\ ((dst_positive_sum_inverse_unique_firstrightvaluefold) + ge_balance_negative_inverse_unique_firstrightvaluefoldresult = (dst_negative_sum_inverse_unique_firstrightvaluefold) + ge_balance_positive_inverse_unique_firstrightvaluefoldresult)))))))))))))))))))))))) -> (exists di_delta_inverse_unique_second. ((((exists dst_positive_code_inverse_unique_seconddeltatable dst_positive_scale_inverse_unique_seconddeltatable dst_negative_code_inverse_unique_seconddeltatable dst_negative_scale_inverse_unique_seconddeltatable. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable)) * S ((dst_positive_code_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable)) + ((dst_positive_scale_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable))) + (((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) * S ((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) + ((dst_negative_scale_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)))) * S ((((dst_positive_code_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable)) * S ((dst_positive_code_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable)) + ((dst_positive_scale_inverse_unique_seconddeltatable) + (dst_positive_scale_inverse_unique_seconddeltatable))) + (((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) * S ((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) + ((dst_negative_scale_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)))) + ((((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) * S ((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) + ((dst_negative_scale_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable))) + (((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) * S ((dst_negative_code_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)) + ((dst_negative_scale_inverse_unique_seconddeltatable) + (dst_negative_scale_inverse_unique_seconddeltatable)))))) /\ (forall dst_index_inverse_unique_seconddeltatable. (exists pvs_le_gap_inverse_unique_seconddeltatabledomain. pvs_le_gap_inverse_unique_seconddeltatabledomain + (dst_index_inverse_unique_seconddeltatable) = (N)) -> exists dst_positive_inverse_unique_seconddeltatable dst_negative_inverse_unique_seconddeltatable dst_value_inverse_unique_seconddeltatable. ((((exists ff_h_pvs_inverse_unique_seconddeltatableentrypositive. ff_h_pvs_inverse_unique_seconddeltatableentrypositive + S (dst_positive_inverse_unique_seconddeltatable) = S ((S (dst_index_inverse_unique_seconddeltatable)) * dst_positive_scale_inverse_unique_seconddeltatable)) /\ exists ff_q_pvs_inverse_unique_seconddeltatableentrypositive. dst_positive_code_inverse_unique_seconddeltatable = ff_q_pvs_inverse_unique_seconddeltatableentrypositive * S ((S (dst_index_inverse_unique_seconddeltatable)) * dst_positive_scale_inverse_unique_seconddeltatable) + (dst_positive_inverse_unique_seconddeltatable))) /\ (((((exists ff_h_pvs_inverse_unique_seconddeltatableentrynegative. ff_h_pvs_inverse_unique_seconddeltatableentrynegative + S (dst_negative_inverse_unique_seconddeltatable) = S ((S (dst_index_inverse_unique_seconddeltatable)) * dst_negative_scale_inverse_unique_seconddeltatable)) /\ exists ff_q_pvs_inverse_unique_seconddeltatableentrynegative. dst_negative_code_inverse_unique_seconddeltatable = ff_q_pvs_inverse_unique_seconddeltatableentrynegative * S ((S (dst_index_inverse_unique_seconddeltatable)) * dst_negative_scale_inverse_unique_seconddeltatable) + (dst_negative_inverse_unique_seconddeltatable))) /\ (exists ge_balance_positive_inverse_unique_seconddeltatableentryvalue ge_balance_negative_inverse_unique_seconddeltatableentryvalue. (((((dst_value_inverse_unique_seconddeltatable) = 2 * (ge_balance_positive_inverse_unique_seconddeltatableentryvalue) /\ (ge_balance_negative_inverse_unique_seconddeltatableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_seconddeltatableentryvaluedecode. (((dst_value_inverse_unique_seconddeltatable) = 2 * ge_signed_half_inverse_unique_seconddeltatableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_seconddeltatableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_seconddeltatableentryvalue) = S ge_signed_half_inverse_unique_seconddeltatableentryvaluedecode))) /\ ((dst_positive_inverse_unique_seconddeltatable) + ge_balance_negative_inverse_unique_seconddeltatableentryvalue = (dst_negative_inverse_unique_seconddeltatable) + ge_balance_positive_inverse_unique_seconddeltatableentryvalue))))))))) /\ (forall du_index_inverse_unique_seconddelta du_value_inverse_unique_seconddelta. ~(du_index_inverse_unique_seconddelta=0) -> (exists pvs_le_gap_inverse_unique_seconddeltabound. pvs_le_gap_inverse_unique_seconddeltabound + (du_index_inverse_unique_seconddelta) = (N)) -> (exists dst_positive_code_inverse_unique_seconddeltaentry dst_positive_scale_inverse_unique_seconddeltaentry dst_negative_code_inverse_unique_seconddeltaentry dst_negative_scale_inverse_unique_seconddeltaentry dst_positive_inverse_unique_seconddeltaentry dst_negative_inverse_unique_seconddeltaentry. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry)) * S ((dst_positive_code_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry)) + ((dst_positive_scale_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry))) + (((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) * S ((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) + ((dst_negative_scale_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)))) * S ((((dst_positive_code_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry)) * S ((dst_positive_code_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry)) + ((dst_positive_scale_inverse_unique_seconddeltaentry) + (dst_positive_scale_inverse_unique_seconddeltaentry))) + (((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) * S ((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) + ((dst_negative_scale_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)))) + ((((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) * S ((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) + ((dst_negative_scale_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry))) + (((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) * S ((dst_negative_code_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)) + ((dst_negative_scale_inverse_unique_seconddeltaentry) + (dst_negative_scale_inverse_unique_seconddeltaentry)))))) /\ (((((exists ff_h_pvs_inverse_unique_seconddeltaentrypositive. ff_h_pvs_inverse_unique_seconddeltaentrypositive + S (dst_positive_inverse_unique_seconddeltaentry) = S ((S (du_index_inverse_unique_seconddelta)) * dst_positive_scale_inverse_unique_seconddeltaentry)) /\ exists ff_q_pvs_inverse_unique_seconddeltaentrypositive. dst_positive_code_inverse_unique_seconddeltaentry = ff_q_pvs_inverse_unique_seconddeltaentrypositive * S ((S (du_index_inverse_unique_seconddelta)) * dst_positive_scale_inverse_unique_seconddeltaentry) + (dst_positive_inverse_unique_seconddeltaentry))) /\ (((((exists ff_h_pvs_inverse_unique_seconddeltaentrynegative. ff_h_pvs_inverse_unique_seconddeltaentrynegative + S (dst_negative_inverse_unique_seconddeltaentry) = S ((S (du_index_inverse_unique_seconddelta)) * dst_negative_scale_inverse_unique_seconddeltaentry)) /\ exists ff_q_pvs_inverse_unique_seconddeltaentrynegative. dst_negative_code_inverse_unique_seconddeltaentry = ff_q_pvs_inverse_unique_seconddeltaentrynegative * S ((S (du_index_inverse_unique_seconddelta)) * dst_negative_scale_inverse_unique_seconddeltaentry) + (dst_negative_inverse_unique_seconddeltaentry))) /\ (exists ge_balance_positive_inverse_unique_seconddeltaentryvalue ge_balance_negative_inverse_unique_seconddeltaentryvalue. (((((du_value_inverse_unique_seconddelta) = 2 * (ge_balance_positive_inverse_unique_seconddeltaentryvalue) /\ (ge_balance_negative_inverse_unique_seconddeltaentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_seconddeltaentryvaluedecode. (((du_value_inverse_unique_seconddelta) = 2 * ge_signed_half_inverse_unique_seconddeltaentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_seconddeltaentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_seconddeltaentryvalue) = S ge_signed_half_inverse_unique_seconddeltaentryvaluedecode))) /\ ((dst_positive_inverse_unique_seconddeltaentry) + ge_balance_negative_inverse_unique_seconddeltaentryvalue = (dst_negative_inverse_unique_seconddeltaentry) + ge_balance_positive_inverse_unique_seconddeltaentryvalue))))))))) -> ((((du_index_inverse_unique_seconddelta)=1 -> (du_value_inverse_unique_seconddelta)=2) /\ (~((du_index_inverse_unique_seconddelta)=1) -> (du_value_inverse_unique_seconddelta)=0)))))) /\ (((((exists dst_positive_code_inverse_unique_secondleftleft dst_positive_scale_inverse_unique_secondleftleft dst_negative_code_inverse_unique_secondleftleft dst_negative_scale_inverse_unique_secondleftleft. (((F) = (((((dst_positive_code_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft)) * S ((dst_positive_code_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft)) + ((dst_positive_scale_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft))) + (((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) * S ((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) + ((dst_negative_scale_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)))) * S ((((dst_positive_code_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft)) * S ((dst_positive_code_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft)) + ((dst_positive_scale_inverse_unique_secondleftleft) + (dst_positive_scale_inverse_unique_secondleftleft))) + (((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) * S ((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) + ((dst_negative_scale_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)))) + ((((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) * S ((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) + ((dst_negative_scale_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft))) + (((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) * S ((dst_negative_code_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)) + ((dst_negative_scale_inverse_unique_secondleftleft) + (dst_negative_scale_inverse_unique_secondleftleft)))))) /\ (forall dst_index_inverse_unique_secondleftleft. (exists pvs_le_gap_inverse_unique_secondleftleftdomain. pvs_le_gap_inverse_unique_secondleftleftdomain + (dst_index_inverse_unique_secondleftleft) = (N)) -> exists dst_positive_inverse_unique_secondleftleft dst_negative_inverse_unique_secondleftleft dst_value_inverse_unique_secondleftleft. ((((exists ff_h_pvs_inverse_unique_secondleftleftentrypositive. ff_h_pvs_inverse_unique_secondleftleftentrypositive + S (dst_positive_inverse_unique_secondleftleft) = S ((S (dst_index_inverse_unique_secondleftleft)) * dst_positive_scale_inverse_unique_secondleftleft)) /\ exists ff_q_pvs_inverse_unique_secondleftleftentrypositive. dst_positive_code_inverse_unique_secondleftleft = ff_q_pvs_inverse_unique_secondleftleftentrypositive * S ((S (dst_index_inverse_unique_secondleftleft)) * dst_positive_scale_inverse_unique_secondleftleft) + (dst_positive_inverse_unique_secondleftleft))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftleftentrynegative. ff_h_pvs_inverse_unique_secondleftleftentrynegative + S (dst_negative_inverse_unique_secondleftleft) = S ((S (dst_index_inverse_unique_secondleftleft)) * dst_negative_scale_inverse_unique_secondleftleft)) /\ exists ff_q_pvs_inverse_unique_secondleftleftentrynegative. dst_negative_code_inverse_unique_secondleftleft = ff_q_pvs_inverse_unique_secondleftleftentrynegative * S ((S (dst_index_inverse_unique_secondleftleft)) * dst_negative_scale_inverse_unique_secondleftleft) + (dst_negative_inverse_unique_secondleftleft))) /\ (exists ge_balance_positive_inverse_unique_secondleftleftentryvalue ge_balance_negative_inverse_unique_secondleftleftentryvalue. (((((dst_value_inverse_unique_secondleftleft) = 2 * (ge_balance_positive_inverse_unique_secondleftleftentryvalue) /\ (ge_balance_negative_inverse_unique_secondleftleftentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftleftentryvaluedecode. (((dst_value_inverse_unique_secondleftleft) = 2 * ge_signed_half_inverse_unique_secondleftleftentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftleftentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftleftentryvalue) = S ge_signed_half_inverse_unique_secondleftleftentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftleft) + ge_balance_negative_inverse_unique_secondleftleftentryvalue = (dst_negative_inverse_unique_secondleftleft) + ge_balance_positive_inverse_unique_secondleftleftentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondleftright dst_positive_scale_inverse_unique_secondleftright dst_negative_code_inverse_unique_secondleftright dst_negative_scale_inverse_unique_secondleftright. (((H) = (((((dst_positive_code_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright)) * S ((dst_positive_code_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright)) + ((dst_positive_scale_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright))) + (((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) * S ((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) + ((dst_negative_scale_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)))) * S ((((dst_positive_code_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright)) * S ((dst_positive_code_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright)) + ((dst_positive_scale_inverse_unique_secondleftright) + (dst_positive_scale_inverse_unique_secondleftright))) + (((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) * S ((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) + ((dst_negative_scale_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)))) + ((((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) * S ((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) + ((dst_negative_scale_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright))) + (((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) * S ((dst_negative_code_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)) + ((dst_negative_scale_inverse_unique_secondleftright) + (dst_negative_scale_inverse_unique_secondleftright)))))) /\ (forall dst_index_inverse_unique_secondleftright. (exists pvs_le_gap_inverse_unique_secondleftrightdomain. pvs_le_gap_inverse_unique_secondleftrightdomain + (dst_index_inverse_unique_secondleftright) = (N)) -> exists dst_positive_inverse_unique_secondleftright dst_negative_inverse_unique_secondleftright dst_value_inverse_unique_secondleftright. ((((exists ff_h_pvs_inverse_unique_secondleftrightentrypositive. ff_h_pvs_inverse_unique_secondleftrightentrypositive + S (dst_positive_inverse_unique_secondleftright) = S ((S (dst_index_inverse_unique_secondleftright)) * dst_positive_scale_inverse_unique_secondleftright)) /\ exists ff_q_pvs_inverse_unique_secondleftrightentrypositive. dst_positive_code_inverse_unique_secondleftright = ff_q_pvs_inverse_unique_secondleftrightentrypositive * S ((S (dst_index_inverse_unique_secondleftright)) * dst_positive_scale_inverse_unique_secondleftright) + (dst_positive_inverse_unique_secondleftright))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftrightentrynegative. ff_h_pvs_inverse_unique_secondleftrightentrynegative + S (dst_negative_inverse_unique_secondleftright) = S ((S (dst_index_inverse_unique_secondleftright)) * dst_negative_scale_inverse_unique_secondleftright)) /\ exists ff_q_pvs_inverse_unique_secondleftrightentrynegative. dst_negative_code_inverse_unique_secondleftright = ff_q_pvs_inverse_unique_secondleftrightentrynegative * S ((S (dst_index_inverse_unique_secondleftright)) * dst_negative_scale_inverse_unique_secondleftright) + (dst_negative_inverse_unique_secondleftright))) /\ (exists ge_balance_positive_inverse_unique_secondleftrightentryvalue ge_balance_negative_inverse_unique_secondleftrightentryvalue. (((((dst_value_inverse_unique_secondleftright) = 2 * (ge_balance_positive_inverse_unique_secondleftrightentryvalue) /\ (ge_balance_negative_inverse_unique_secondleftrightentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftrightentryvaluedecode. (((dst_value_inverse_unique_secondleftright) = 2 * ge_signed_half_inverse_unique_secondleftrightentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftrightentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftrightentryvalue) = S ge_signed_half_inverse_unique_secondleftrightentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftright) + ge_balance_negative_inverse_unique_secondleftrightentryvalue = (dst_negative_inverse_unique_secondleftright) + ge_balance_positive_inverse_unique_secondleftrightentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondlefttable dst_positive_scale_inverse_unique_secondlefttable dst_negative_code_inverse_unique_secondlefttable dst_negative_scale_inverse_unique_secondlefttable. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable)) * S ((dst_positive_code_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable)) + ((dst_positive_scale_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable))) + (((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) * S ((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) + ((dst_negative_scale_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)))) * S ((((dst_positive_code_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable)) * S ((dst_positive_code_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable)) + ((dst_positive_scale_inverse_unique_secondlefttable) + (dst_positive_scale_inverse_unique_secondlefttable))) + (((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) * S ((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) + ((dst_negative_scale_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)))) + ((((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) * S ((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) + ((dst_negative_scale_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable))) + (((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) * S ((dst_negative_code_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)) + ((dst_negative_scale_inverse_unique_secondlefttable) + (dst_negative_scale_inverse_unique_secondlefttable)))))) /\ (forall dst_index_inverse_unique_secondlefttable. (exists pvs_le_gap_inverse_unique_secondlefttabledomain. pvs_le_gap_inverse_unique_secondlefttabledomain + (dst_index_inverse_unique_secondlefttable) = (N)) -> exists dst_positive_inverse_unique_secondlefttable dst_negative_inverse_unique_secondlefttable dst_value_inverse_unique_secondlefttable. ((((exists ff_h_pvs_inverse_unique_secondlefttableentrypositive. ff_h_pvs_inverse_unique_secondlefttableentrypositive + S (dst_positive_inverse_unique_secondlefttable) = S ((S (dst_index_inverse_unique_secondlefttable)) * dst_positive_scale_inverse_unique_secondlefttable)) /\ exists ff_q_pvs_inverse_unique_secondlefttableentrypositive. dst_positive_code_inverse_unique_secondlefttable = ff_q_pvs_inverse_unique_secondlefttableentrypositive * S ((S (dst_index_inverse_unique_secondlefttable)) * dst_positive_scale_inverse_unique_secondlefttable) + (dst_positive_inverse_unique_secondlefttable))) /\ (((((exists ff_h_pvs_inverse_unique_secondlefttableentrynegative. ff_h_pvs_inverse_unique_secondlefttableentrynegative + S (dst_negative_inverse_unique_secondlefttable) = S ((S (dst_index_inverse_unique_secondlefttable)) * dst_negative_scale_inverse_unique_secondlefttable)) /\ exists ff_q_pvs_inverse_unique_secondlefttableentrynegative. dst_negative_code_inverse_unique_secondlefttable = ff_q_pvs_inverse_unique_secondlefttableentrynegative * S ((S (dst_index_inverse_unique_secondlefttable)) * dst_negative_scale_inverse_unique_secondlefttable) + (dst_negative_inverse_unique_secondlefttable))) /\ (exists ge_balance_positive_inverse_unique_secondlefttableentryvalue ge_balance_negative_inverse_unique_secondlefttableentryvalue. (((((dst_value_inverse_unique_secondlefttable) = 2 * (ge_balance_positive_inverse_unique_secondlefttableentryvalue) /\ (ge_balance_negative_inverse_unique_secondlefttableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondlefttableentryvaluedecode. (((dst_value_inverse_unique_secondlefttable) = 2 * ge_signed_half_inverse_unique_secondlefttableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondlefttableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondlefttableentryvalue) = S ge_signed_half_inverse_unique_secondlefttableentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondlefttable) + ge_balance_negative_inverse_unique_secondlefttableentryvalue = (dst_negative_inverse_unique_secondlefttable) + ge_balance_positive_inverse_unique_secondlefttableentryvalue))))))))) /\ (forall dc_input_inverse_unique_secondleft dc_output_inverse_unique_secondleft. ~(dc_input_inverse_unique_secondleft=0) -> (exists pvs_le_gap_inverse_unique_secondleftdomain. pvs_le_gap_inverse_unique_secondleftdomain + (dc_input_inverse_unique_secondleft) = (N)) -> (exists dst_positive_code_inverse_unique_secondleftlookup dst_positive_scale_inverse_unique_secondleftlookup dst_negative_code_inverse_unique_secondleftlookup dst_negative_scale_inverse_unique_secondleftlookup dst_positive_inverse_unique_secondleftlookup dst_negative_inverse_unique_secondleftlookup. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup)) * S ((dst_positive_code_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup)) + ((dst_positive_scale_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup))) + (((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) * S ((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) + ((dst_negative_scale_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)))) * S ((((dst_positive_code_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup)) * S ((dst_positive_code_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup)) + ((dst_positive_scale_inverse_unique_secondleftlookup) + (dst_positive_scale_inverse_unique_secondleftlookup))) + (((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) * S ((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) + ((dst_negative_scale_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)))) + ((((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) * S ((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) + ((dst_negative_scale_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup))) + (((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) * S ((dst_negative_code_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)) + ((dst_negative_scale_inverse_unique_secondleftlookup) + (dst_negative_scale_inverse_unique_secondleftlookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftlookuppositive. ff_h_pvs_inverse_unique_secondleftlookuppositive + S (dst_positive_inverse_unique_secondleftlookup) = S ((S (dc_input_inverse_unique_secondleft)) * dst_positive_scale_inverse_unique_secondleftlookup)) /\ exists ff_q_pvs_inverse_unique_secondleftlookuppositive. dst_positive_code_inverse_unique_secondleftlookup = ff_q_pvs_inverse_unique_secondleftlookuppositive * S ((S (dc_input_inverse_unique_secondleft)) * dst_positive_scale_inverse_unique_secondleftlookup) + (dst_positive_inverse_unique_secondleftlookup))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftlookupnegative. ff_h_pvs_inverse_unique_secondleftlookupnegative + S (dst_negative_inverse_unique_secondleftlookup) = S ((S (dc_input_inverse_unique_secondleft)) * dst_negative_scale_inverse_unique_secondleftlookup)) /\ exists ff_q_pvs_inverse_unique_secondleftlookupnegative. dst_negative_code_inverse_unique_secondleftlookup = ff_q_pvs_inverse_unique_secondleftlookupnegative * S ((S (dc_input_inverse_unique_secondleft)) * dst_negative_scale_inverse_unique_secondleftlookup) + (dst_negative_inverse_unique_secondleftlookup))) /\ (exists ge_balance_positive_inverse_unique_secondleftlookupvalue ge_balance_negative_inverse_unique_secondleftlookupvalue. (((((dc_output_inverse_unique_secondleft) = 2 * (ge_balance_positive_inverse_unique_secondleftlookupvalue) /\ (ge_balance_negative_inverse_unique_secondleftlookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftlookupvaluedecode. (((dc_output_inverse_unique_secondleft) = 2 * ge_signed_half_inverse_unique_secondleftlookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftlookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftlookupvalue) = S ge_signed_half_inverse_unique_secondleftlookupvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftlookup) + ge_balance_negative_inverse_unique_secondleftlookupvalue = (dst_negative_inverse_unique_secondleftlookup) + ge_balance_positive_inverse_unique_secondleftlookupvalue))))))))) -> (((~((dc_input_inverse_unique_secondleft)=0)) /\ (exists dc_mask_inverse_unique_secondleftvalue. ((((exists dst_positive_code_inverse_unique_secondleftvaluemasktable dst_positive_scale_inverse_unique_secondleftvaluemasktable dst_negative_code_inverse_unique_secondleftvaluemasktable dst_negative_scale_inverse_unique_secondleftvaluemasktable. (((dc_mask_inverse_unique_secondleftvalue) = (((((dst_positive_code_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_positive_code_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_positive_scale_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable))) + (((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)))) * S ((((dst_positive_code_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_positive_code_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_positive_scale_inverse_unique_secondleftvaluemasktable) + (dst_positive_scale_inverse_unique_secondleftvaluemasktable))) + (((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)))) + ((((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable))) + (((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasktable) + (dst_negative_scale_inverse_unique_secondleftvaluemasktable)))))) /\ (forall dst_index_inverse_unique_secondleftvaluemasktable. (exists pvs_le_gap_inverse_unique_secondleftvaluemasktabledomain. pvs_le_gap_inverse_unique_secondleftvaluemasktabledomain + (dst_index_inverse_unique_secondleftvaluemasktable) = (dc_input_inverse_unique_secondleft)) -> exists dst_positive_inverse_unique_secondleftvaluemasktable dst_negative_inverse_unique_secondleftvaluemasktable dst_value_inverse_unique_secondleftvaluemasktable. ((((exists ff_h_pvs_inverse_unique_secondleftvaluemasktableentrypositive. ff_h_pvs_inverse_unique_secondleftvaluemasktableentrypositive + S (dst_positive_inverse_unique_secondleftvaluemasktable) = S ((S (dst_index_inverse_unique_secondleftvaluemasktable)) * dst_positive_scale_inverse_unique_secondleftvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemasktableentrypositive. dst_positive_code_inverse_unique_secondleftvaluemasktable = ff_q_pvs_inverse_unique_secondleftvaluemasktableentrypositive * S ((S (dst_index_inverse_unique_secondleftvaluemasktable)) * dst_positive_scale_inverse_unique_secondleftvaluemasktable) + (dst_positive_inverse_unique_secondleftvaluemasktable))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemasktableentrynegative. ff_h_pvs_inverse_unique_secondleftvaluemasktableentrynegative + S (dst_negative_inverse_unique_secondleftvaluemasktable) = S ((S (dst_index_inverse_unique_secondleftvaluemasktable)) * dst_negative_scale_inverse_unique_secondleftvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemasktableentrynegative. dst_negative_code_inverse_unique_secondleftvaluemasktable = ff_q_pvs_inverse_unique_secondleftvaluemasktableentrynegative * S ((S (dst_index_inverse_unique_secondleftvaluemasktable)) * dst_negative_scale_inverse_unique_secondleftvaluemasktable) + (dst_negative_inverse_unique_secondleftvaluemasktable))) /\ (exists ge_balance_positive_inverse_unique_secondleftvaluemasktableentryvalue ge_balance_negative_inverse_unique_secondleftvaluemasktableentryvalue. (((((dst_value_inverse_unique_secondleftvaluemasktable) = 2 * (ge_balance_positive_inverse_unique_secondleftvaluemasktableentryvalue) /\ (ge_balance_negative_inverse_unique_secondleftvaluemasktableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemasktableentryvaluedecode. (((dst_value_inverse_unique_secondleftvaluemasktable) = 2 * ge_signed_half_inverse_unique_secondleftvaluemasktableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftvaluemasktableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftvaluemasktableentryvalue) = S ge_signed_half_inverse_unique_secondleftvaluemasktableentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftvaluemasktable) + ge_balance_negative_inverse_unique_secondleftvaluemasktableentryvalue = (dst_negative_inverse_unique_secondleftvaluemasktable) + ge_balance_positive_inverse_unique_secondleftvaluemasktableentryvalue))))))))) /\ (forall dc_index_inverse_unique_secondleftvaluemask dc_value_inverse_unique_secondleftvaluemask. (exists pvs_le_gap_inverse_unique_secondleftvaluemaskdomain. pvs_le_gap_inverse_unique_secondleftvaluemaskdomain + (dc_index_inverse_unique_secondleftvaluemask) = (dc_input_inverse_unique_secondleft)) -> (exists dst_positive_code_inverse_unique_secondleftvaluemasklookup dst_positive_scale_inverse_unique_secondleftvaluemasklookup dst_negative_code_inverse_unique_secondleftvaluemasklookup dst_negative_scale_inverse_unique_secondleftvaluemasklookup dst_positive_inverse_unique_secondleftvaluemasklookup dst_negative_inverse_unique_secondleftvaluemasklookup. (((dc_mask_inverse_unique_secondleftvalue) = (((((dst_positive_code_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_positive_code_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_positive_scale_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)))) * S ((((dst_positive_code_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_positive_code_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_positive_scale_inverse_unique_secondleftvaluemasklookup) + (dst_positive_scale_inverse_unique_secondleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)))) + ((((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondleftvaluemasklookup) + (dst_negative_scale_inverse_unique_secondleftvaluemasklookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemasklookuppositive. ff_h_pvs_inverse_unique_secondleftvaluemasklookuppositive + S (dst_positive_inverse_unique_secondleftvaluemasklookup) = S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_positive_scale_inverse_unique_secondleftvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemasklookuppositive. dst_positive_code_inverse_unique_secondleftvaluemasklookup = ff_q_pvs_inverse_unique_secondleftvaluemasklookuppositive * S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_positive_scale_inverse_unique_secondleftvaluemasklookup) + (dst_positive_inverse_unique_secondleftvaluemasklookup))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemasklookupnegative. ff_h_pvs_inverse_unique_secondleftvaluemasklookupnegative + S (dst_negative_inverse_unique_secondleftvaluemasklookup) = S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_negative_scale_inverse_unique_secondleftvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemasklookupnegative. dst_negative_code_inverse_unique_secondleftvaluemasklookup = ff_q_pvs_inverse_unique_secondleftvaluemasklookupnegative * S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_negative_scale_inverse_unique_secondleftvaluemasklookup) + (dst_negative_inverse_unique_secondleftvaluemasklookup))) /\ (exists ge_balance_positive_inverse_unique_secondleftvaluemasklookupvalue ge_balance_negative_inverse_unique_secondleftvaluemasklookupvalue. (((((dc_value_inverse_unique_secondleftvaluemask) = 2 * (ge_balance_positive_inverse_unique_secondleftvaluemasklookupvalue) /\ (ge_balance_negative_inverse_unique_secondleftvaluemasklookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemasklookupvaluedecode. (((dc_value_inverse_unique_secondleftvaluemask) = 2 * ge_signed_half_inverse_unique_secondleftvaluemasklookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftvaluemasklookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftvaluemasklookupvalue) = S ge_signed_half_inverse_unique_secondleftvaluemasklookupvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftvaluemasklookup) + ge_balance_negative_inverse_unique_secondleftvaluemasklookupvalue = (dst_negative_inverse_unique_secondleftvaluemasklookup) + ge_balance_positive_inverse_unique_secondleftvaluemasklookupvalue))))))))) -> ((((~((dc_index_inverse_unique_secondleftvaluemask)=0)) /\ (exists dc_quotient_inverse_unique_secondleftvaluemaskentry dc_left_inverse_unique_secondleftvaluemaskentry dc_right_inverse_unique_secondleftvaluemaskentry. (((dc_input_inverse_unique_secondleft)=(dc_index_inverse_unique_secondleftvaluemask)*dc_quotient_inverse_unique_secondleftvaluemaskentry) /\ (((exists dst_positive_code_inverse_unique_secondleftvaluemaskentryleft dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft dst_negative_code_inverse_unique_secondleftvaluemaskentryleft dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft dst_positive_inverse_unique_secondleftvaluemaskentryleft dst_negative_inverse_unique_secondleftvaluemaskentryleft. (((F) = (((((dst_positive_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)))) * S ((((dst_positive_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)))) + ((((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemaskentryleftpositive. ff_h_pvs_inverse_unique_secondleftvaluemaskentryleftpositive + S (dst_positive_inverse_unique_secondleftvaluemaskentryleft) = S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemaskentryleftpositive. dst_positive_code_inverse_unique_secondleftvaluemaskentryleft = ff_q_pvs_inverse_unique_secondleftvaluemaskentryleftpositive * S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_positive_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_positive_inverse_unique_secondleftvaluemaskentryleft))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemaskentryleftnegative. ff_h_pvs_inverse_unique_secondleftvaluemaskentryleftnegative + S (dst_negative_inverse_unique_secondleftvaluemaskentryleft) = S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemaskentryleftnegative. dst_negative_code_inverse_unique_secondleftvaluemaskentryleft = ff_q_pvs_inverse_unique_secondleftvaluemaskentryleftnegative * S ((S (dc_index_inverse_unique_secondleftvaluemask)) * dst_negative_scale_inverse_unique_secondleftvaluemaskentryleft) + (dst_negative_inverse_unique_secondleftvaluemaskentryleft))) /\ (exists ge_balance_positive_inverse_unique_secondleftvaluemaskentryleftvalue ge_balance_negative_inverse_unique_secondleftvaluemaskentryleftvalue. (((((dc_left_inverse_unique_secondleftvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_secondleftvaluemaskentryleftvalue) /\ (ge_balance_negative_inverse_unique_secondleftvaluemaskentryleftvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemaskentryleftvaluedecode. (((dc_left_inverse_unique_secondleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondleftvaluemaskentryleftvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftvaluemaskentryleftvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftvaluemaskentryleftvalue) = S ge_signed_half_inverse_unique_secondleftvaluemaskentryleftvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftvaluemaskentryleft) + ge_balance_negative_inverse_unique_secondleftvaluemaskentryleftvalue = (dst_negative_inverse_unique_secondleftvaluemaskentryleft) + ge_balance_positive_inverse_unique_secondleftvaluemaskentryleftvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondleftvaluemaskentryright dst_positive_scale_inverse_unique_secondleftvaluemaskentryright dst_negative_code_inverse_unique_secondleftvaluemaskentryright dst_negative_scale_inverse_unique_secondleftvaluemaskentryright dst_positive_inverse_unique_secondleftvaluemaskentryright dst_negative_inverse_unique_secondleftvaluemaskentryright. (((H) = (((((dst_positive_code_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)))) * S ((((dst_positive_code_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)))) + ((((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemaskentryrightpositive. ff_h_pvs_inverse_unique_secondleftvaluemaskentryrightpositive + S (dst_positive_inverse_unique_secondleftvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_secondleftvaluemaskentry)) * dst_positive_scale_inverse_unique_secondleftvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemaskentryrightpositive. dst_positive_code_inverse_unique_secondleftvaluemaskentryright = ff_q_pvs_inverse_unique_secondleftvaluemaskentryrightpositive * S ((S (dc_quotient_inverse_unique_secondleftvaluemaskentry)) * dst_positive_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_positive_inverse_unique_secondleftvaluemaskentryright))) /\ (((((exists ff_h_pvs_inverse_unique_secondleftvaluemaskentryrightnegative. ff_h_pvs_inverse_unique_secondleftvaluemaskentryrightnegative + S (dst_negative_inverse_unique_secondleftvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_secondleftvaluemaskentry)) * dst_negative_scale_inverse_unique_secondleftvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_secondleftvaluemaskentryrightnegative. dst_negative_code_inverse_unique_secondleftvaluemaskentryright = ff_q_pvs_inverse_unique_secondleftvaluemaskentryrightnegative * S ((S (dc_quotient_inverse_unique_secondleftvaluemaskentry)) * dst_negative_scale_inverse_unique_secondleftvaluemaskentryright) + (dst_negative_inverse_unique_secondleftvaluemaskentryright))) /\ (exists ge_balance_positive_inverse_unique_secondleftvaluemaskentryrightvalue ge_balance_negative_inverse_unique_secondleftvaluemaskentryrightvalue. (((((dc_right_inverse_unique_secondleftvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_secondleftvaluemaskentryrightvalue) /\ (ge_balance_negative_inverse_unique_secondleftvaluemaskentryrightvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemaskentryrightvaluedecode. (((dc_right_inverse_unique_secondleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondleftvaluemaskentryrightvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftvaluemaskentryrightvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondleftvaluemaskentryrightvalue) = S ge_signed_half_inverse_unique_secondleftvaluemaskentryrightvaluedecode))) /\ ((dst_positive_inverse_unique_secondleftvaluemaskentryright) + ge_balance_negative_inverse_unique_secondleftvaluemaskentryrightvalue = (dst_negative_inverse_unique_secondleftvaluemaskentryright) + ge_balance_positive_inverse_unique_secondleftvaluemaskentryrightvalue))))))))) /\ (exists sto_ap_inverse_unique_secondleftvaluemaskentryproduct sto_an_inverse_unique_secondleftvaluemaskentryproduct sto_bp_inverse_unique_secondleftvaluemaskentryproduct sto_bn_inverse_unique_secondleftvaluemaskentryproduct sto_cp_inverse_unique_secondleftvaluemaskentryproduct sto_cn_inverse_unique_secondleftvaluemaskentryproduct. (((((dc_left_inverse_unique_secondleftvaluemaskentry) = 2 * (sto_ap_inverse_unique_secondleftvaluemaskentryproduct) /\ (sto_an_inverse_unique_secondleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemaskentryproductleft. (((dc_left_inverse_unique_secondleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondleftvaluemaskentryproductleft + 1 /\ (sto_ap_inverse_unique_secondleftvaluemaskentryproduct) = 0) /\ (sto_an_inverse_unique_secondleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondleftvaluemaskentryproductleft))) /\ ((((((dc_right_inverse_unique_secondleftvaluemaskentry) = 2 * (sto_bp_inverse_unique_secondleftvaluemaskentryproduct) /\ (sto_bn_inverse_unique_secondleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemaskentryproductright. (((dc_right_inverse_unique_secondleftvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondleftvaluemaskentryproductright + 1 /\ (sto_bp_inverse_unique_secondleftvaluemaskentryproduct) = 0) /\ (sto_bn_inverse_unique_secondleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondleftvaluemaskentryproductright))) /\ ((((((dc_value_inverse_unique_secondleftvaluemask) = 2 * (sto_cp_inverse_unique_secondleftvaluemaskentryproduct) /\ (sto_cn_inverse_unique_secondleftvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluemaskentryproductoutput. (((dc_value_inverse_unique_secondleftvaluemask) = 2 * ge_signed_half_inverse_unique_secondleftvaluemaskentryproductoutput + 1 /\ (sto_cp_inverse_unique_secondleftvaluemaskentryproduct) = 0) /\ (sto_cn_inverse_unique_secondleftvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondleftvaluemaskentryproductoutput))) /\ ((sto_ap_inverse_unique_secondleftvaluemaskentryproduct * sto_bp_inverse_unique_secondleftvaluemaskentryproduct + sto_an_inverse_unique_secondleftvaluemaskentryproduct * sto_bn_inverse_unique_secondleftvaluemaskentryproduct) + sto_cn_inverse_unique_secondleftvaluemaskentryproduct = (sto_ap_inverse_unique_secondleftvaluemaskentryproduct * sto_bn_inverse_unique_secondleftvaluemaskentryproduct + sto_an_inverse_unique_secondleftvaluemaskentryproduct * sto_bp_inverse_unique_secondleftvaluemaskentryproduct) + sto_cp_inverse_unique_secondleftvaluemaskentryproduct))))))))))))))) \/ ((((dc_index_inverse_unique_secondleftvaluemask)=0 \/ ~(exists pvs_factor_inverse_unique_secondleftvaluemaskentrynondivisor. (dc_input_inverse_unique_secondleft) = (dc_index_inverse_unique_secondleftvaluemask) * pvs_factor_inverse_unique_secondleftvaluemaskentrynondivisor)) /\ ((dc_value_inverse_unique_secondleftvaluemask)=0))))))) /\ (exists dst_positive_code_inverse_unique_secondleftvaluefold dst_positive_scale_inverse_unique_secondleftvaluefold dst_negative_code_inverse_unique_secondleftvaluefold dst_negative_scale_inverse_unique_secondleftvaluefold dst_positive_sum_inverse_unique_secondleftvaluefold dst_negative_sum_inverse_unique_secondleftvaluefold. (((dc_mask_inverse_unique_secondleftvalue) = (((((dst_positive_code_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold)) * S ((dst_positive_code_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold)) + ((dst_positive_scale_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold))) + (((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) * S ((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) + ((dst_negative_scale_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)))) * S ((((dst_positive_code_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold)) * S ((dst_positive_code_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold)) + ((dst_positive_scale_inverse_unique_secondleftvaluefold) + (dst_positive_scale_inverse_unique_secondleftvaluefold))) + (((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) * S ((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) + ((dst_negative_scale_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)))) + ((((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) * S ((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) + ((dst_negative_scale_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold))) + (((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) * S ((dst_negative_code_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)) + ((dst_negative_scale_inverse_unique_secondleftvaluefold) + (dst_negative_scale_inverse_unique_secondleftvaluefold)))))) /\ (((exists fs_u_dst_inverse_unique_secondleftvaluefoldpositive fs_v_dst_inverse_unique_secondleftvaluefoldpositive. ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_start. fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_start. fs_u_dst_inverse_unique_secondleftvaluefoldpositive = fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_start * S ((S (0)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive) + (0))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_terminal. fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_terminal + S (dst_positive_sum_inverse_unique_secondleftvaluefold) = S ((S (S (dc_input_inverse_unique_secondleft))) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_terminal. fs_u_dst_inverse_unique_secondleftvaluefoldpositive = fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_terminal * S ((S (S (dc_input_inverse_unique_secondleft))) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive) + (dst_positive_sum_inverse_unique_secondleftvaluefold))) /\ forall fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps. (exists fs_lt_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_bound. fs_lt_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_bound + S fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps = S (dc_input_inverse_unique_secondleft)) -> exists fs_a_dst_inverse_unique_secondleftvaluefoldpositive_body_steps fs_r_dst_inverse_unique_secondleftvaluefoldpositive_body_steps fs_s_dst_inverse_unique_secondleftvaluefoldpositive_body_steps. ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_summand. fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_summand + S (fs_a_dst_inverse_unique_secondleftvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_secondleftvaluefold)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_summand. dst_positive_code_inverse_unique_secondleftvaluefold = fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_summand * S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_secondleftvaluefold) + (fs_a_dst_inverse_unique_secondleftvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_partial. fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_partial + S (fs_r_dst_inverse_unique_secondleftvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_partial. fs_u_dst_inverse_unique_secondleftvaluefoldpositive = fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_partial * S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive) + (fs_r_dst_inverse_unique_secondleftvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_successor. fs_h_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_successor + S (fs_s_dst_inverse_unique_secondleftvaluefoldpositive_body_steps) = S ((S (S fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_successor. fs_u_dst_inverse_unique_secondleftvaluefoldpositive = fs_q_dst_inverse_unique_secondleftvaluefoldpositive_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldpositive) + (fs_s_dst_inverse_unique_secondleftvaluefoldpositive_body_steps))) /\ fs_s_dst_inverse_unique_secondleftvaluefoldpositive_body_steps = fs_r_dst_inverse_unique_secondleftvaluefoldpositive_body_steps + fs_a_dst_inverse_unique_secondleftvaluefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_inverse_unique_secondleftvaluefoldnegative fs_v_dst_inverse_unique_secondleftvaluefoldnegative. ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_start. fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_start. fs_u_dst_inverse_unique_secondleftvaluefoldnegative = fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_start * S ((S (0)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative) + (0))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_terminal. fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_terminal + S (dst_negative_sum_inverse_unique_secondleftvaluefold) = S ((S (S (dc_input_inverse_unique_secondleft))) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_terminal. fs_u_dst_inverse_unique_secondleftvaluefoldnegative = fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_terminal * S ((S (S (dc_input_inverse_unique_secondleft))) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative) + (dst_negative_sum_inverse_unique_secondleftvaluefold))) /\ forall fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps. (exists fs_lt_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_bound. fs_lt_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_bound + S fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps = S (dc_input_inverse_unique_secondleft)) -> exists fs_a_dst_inverse_unique_secondleftvaluefoldnegative_body_steps fs_r_dst_inverse_unique_secondleftvaluefoldnegative_body_steps fs_s_dst_inverse_unique_secondleftvaluefoldnegative_body_steps. ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_summand. fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_summand + S (fs_a_dst_inverse_unique_secondleftvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_secondleftvaluefold)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_summand. dst_negative_code_inverse_unique_secondleftvaluefold = fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_summand * S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_secondleftvaluefold) + (fs_a_dst_inverse_unique_secondleftvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_partial. fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_partial + S (fs_r_dst_inverse_unique_secondleftvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_partial. fs_u_dst_inverse_unique_secondleftvaluefoldnegative = fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_partial * S ((S (fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative) + (fs_r_dst_inverse_unique_secondleftvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_successor. fs_h_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_successor + S (fs_s_dst_inverse_unique_secondleftvaluefoldnegative_body_steps) = S ((S (S fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_successor. fs_u_dst_inverse_unique_secondleftvaluefoldnegative = fs_q_dst_inverse_unique_secondleftvaluefoldnegative_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondleftvaluefoldnegative) + (fs_s_dst_inverse_unique_secondleftvaluefoldnegative_body_steps))) /\ fs_s_dst_inverse_unique_secondleftvaluefoldnegative_body_steps = fs_r_dst_inverse_unique_secondleftvaluefoldnegative_body_steps + fs_a_dst_inverse_unique_secondleftvaluefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_inverse_unique_secondleftvaluefoldresult ge_balance_negative_inverse_unique_secondleftvaluefoldresult. (((((dc_output_inverse_unique_secondleft) = 2 * (ge_balance_positive_inverse_unique_secondleftvaluefoldresult) /\ (ge_balance_negative_inverse_unique_secondleftvaluefoldresult) = 0) \/ exists ge_signed_half_inverse_unique_secondleftvaluefoldresultdecode. (((dc_output_inverse_unique_secondleft) = 2 * ge_signed_half_inverse_unique_secondleftvaluefoldresultdecode + 1 /\ (ge_balance_positive_inverse_unique_secondleftvaluefoldresult) = 0) /\ (ge_balance_negative_inverse_unique_secondleftvaluefoldresult) = S ge_signed_half_inverse_unique_secondleftvaluefoldresultdecode))) /\ ((dst_positive_sum_inverse_unique_secondleftvaluefold) + ge_balance_negative_inverse_unique_secondleftvaluefoldresult = (dst_negative_sum_inverse_unique_secondleftvaluefold) + ge_balance_positive_inverse_unique_secondleftvaluefoldresult)))))))))))))))))))) /\ (((exists dst_positive_code_inverse_unique_secondrightleft dst_positive_scale_inverse_unique_secondrightleft dst_negative_code_inverse_unique_secondrightleft dst_negative_scale_inverse_unique_secondrightleft. (((H) = (((((dst_positive_code_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft)) * S ((dst_positive_code_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft)) + ((dst_positive_scale_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft))) + (((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) * S ((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) + ((dst_negative_scale_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)))) * S ((((dst_positive_code_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft)) * S ((dst_positive_code_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft)) + ((dst_positive_scale_inverse_unique_secondrightleft) + (dst_positive_scale_inverse_unique_secondrightleft))) + (((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) * S ((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) + ((dst_negative_scale_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)))) + ((((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) * S ((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) + ((dst_negative_scale_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft))) + (((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) * S ((dst_negative_code_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)) + ((dst_negative_scale_inverse_unique_secondrightleft) + (dst_negative_scale_inverse_unique_secondrightleft)))))) /\ (forall dst_index_inverse_unique_secondrightleft. (exists pvs_le_gap_inverse_unique_secondrightleftdomain. pvs_le_gap_inverse_unique_secondrightleftdomain + (dst_index_inverse_unique_secondrightleft) = (N)) -> exists dst_positive_inverse_unique_secondrightleft dst_negative_inverse_unique_secondrightleft dst_value_inverse_unique_secondrightleft. ((((exists ff_h_pvs_inverse_unique_secondrightleftentrypositive. ff_h_pvs_inverse_unique_secondrightleftentrypositive + S (dst_positive_inverse_unique_secondrightleft) = S ((S (dst_index_inverse_unique_secondrightleft)) * dst_positive_scale_inverse_unique_secondrightleft)) /\ exists ff_q_pvs_inverse_unique_secondrightleftentrypositive. dst_positive_code_inverse_unique_secondrightleft = ff_q_pvs_inverse_unique_secondrightleftentrypositive * S ((S (dst_index_inverse_unique_secondrightleft)) * dst_positive_scale_inverse_unique_secondrightleft) + (dst_positive_inverse_unique_secondrightleft))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightleftentrynegative. ff_h_pvs_inverse_unique_secondrightleftentrynegative + S (dst_negative_inverse_unique_secondrightleft) = S ((S (dst_index_inverse_unique_secondrightleft)) * dst_negative_scale_inverse_unique_secondrightleft)) /\ exists ff_q_pvs_inverse_unique_secondrightleftentrynegative. dst_negative_code_inverse_unique_secondrightleft = ff_q_pvs_inverse_unique_secondrightleftentrynegative * S ((S (dst_index_inverse_unique_secondrightleft)) * dst_negative_scale_inverse_unique_secondrightleft) + (dst_negative_inverse_unique_secondrightleft))) /\ (exists ge_balance_positive_inverse_unique_secondrightleftentryvalue ge_balance_negative_inverse_unique_secondrightleftentryvalue. (((((dst_value_inverse_unique_secondrightleft) = 2 * (ge_balance_positive_inverse_unique_secondrightleftentryvalue) /\ (ge_balance_negative_inverse_unique_secondrightleftentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightleftentryvaluedecode. (((dst_value_inverse_unique_secondrightleft) = 2 * ge_signed_half_inverse_unique_secondrightleftentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightleftentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightleftentryvalue) = S ge_signed_half_inverse_unique_secondrightleftentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightleft) + ge_balance_negative_inverse_unique_secondrightleftentryvalue = (dst_negative_inverse_unique_secondrightleft) + ge_balance_positive_inverse_unique_secondrightleftentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondrightright dst_positive_scale_inverse_unique_secondrightright dst_negative_code_inverse_unique_secondrightright dst_negative_scale_inverse_unique_secondrightright. (((F) = (((((dst_positive_code_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright)) * S ((dst_positive_code_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright)) + ((dst_positive_scale_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright))) + (((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) * S ((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) + ((dst_negative_scale_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)))) * S ((((dst_positive_code_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright)) * S ((dst_positive_code_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright)) + ((dst_positive_scale_inverse_unique_secondrightright) + (dst_positive_scale_inverse_unique_secondrightright))) + (((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) * S ((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) + ((dst_negative_scale_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)))) + ((((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) * S ((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) + ((dst_negative_scale_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright))) + (((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) * S ((dst_negative_code_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)) + ((dst_negative_scale_inverse_unique_secondrightright) + (dst_negative_scale_inverse_unique_secondrightright)))))) /\ (forall dst_index_inverse_unique_secondrightright. (exists pvs_le_gap_inverse_unique_secondrightrightdomain. pvs_le_gap_inverse_unique_secondrightrightdomain + (dst_index_inverse_unique_secondrightright) = (N)) -> exists dst_positive_inverse_unique_secondrightright dst_negative_inverse_unique_secondrightright dst_value_inverse_unique_secondrightright. ((((exists ff_h_pvs_inverse_unique_secondrightrightentrypositive. ff_h_pvs_inverse_unique_secondrightrightentrypositive + S (dst_positive_inverse_unique_secondrightright) = S ((S (dst_index_inverse_unique_secondrightright)) * dst_positive_scale_inverse_unique_secondrightright)) /\ exists ff_q_pvs_inverse_unique_secondrightrightentrypositive. dst_positive_code_inverse_unique_secondrightright = ff_q_pvs_inverse_unique_secondrightrightentrypositive * S ((S (dst_index_inverse_unique_secondrightright)) * dst_positive_scale_inverse_unique_secondrightright) + (dst_positive_inverse_unique_secondrightright))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightrightentrynegative. ff_h_pvs_inverse_unique_secondrightrightentrynegative + S (dst_negative_inverse_unique_secondrightright) = S ((S (dst_index_inverse_unique_secondrightright)) * dst_negative_scale_inverse_unique_secondrightright)) /\ exists ff_q_pvs_inverse_unique_secondrightrightentrynegative. dst_negative_code_inverse_unique_secondrightright = ff_q_pvs_inverse_unique_secondrightrightentrynegative * S ((S (dst_index_inverse_unique_secondrightright)) * dst_negative_scale_inverse_unique_secondrightright) + (dst_negative_inverse_unique_secondrightright))) /\ (exists ge_balance_positive_inverse_unique_secondrightrightentryvalue ge_balance_negative_inverse_unique_secondrightrightentryvalue. (((((dst_value_inverse_unique_secondrightright) = 2 * (ge_balance_positive_inverse_unique_secondrightrightentryvalue) /\ (ge_balance_negative_inverse_unique_secondrightrightentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightrightentryvaluedecode. (((dst_value_inverse_unique_secondrightright) = 2 * ge_signed_half_inverse_unique_secondrightrightentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightrightentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightrightentryvalue) = S ge_signed_half_inverse_unique_secondrightrightentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightright) + ge_balance_negative_inverse_unique_secondrightrightentryvalue = (dst_negative_inverse_unique_secondrightright) + ge_balance_positive_inverse_unique_secondrightrightentryvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondrighttable dst_positive_scale_inverse_unique_secondrighttable dst_negative_code_inverse_unique_secondrighttable dst_negative_scale_inverse_unique_secondrighttable. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable)) * S ((dst_positive_code_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable)) + ((dst_positive_scale_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable))) + (((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) * S ((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) + ((dst_negative_scale_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)))) * S ((((dst_positive_code_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable)) * S ((dst_positive_code_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable)) + ((dst_positive_scale_inverse_unique_secondrighttable) + (dst_positive_scale_inverse_unique_secondrighttable))) + (((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) * S ((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) + ((dst_negative_scale_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)))) + ((((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) * S ((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) + ((dst_negative_scale_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable))) + (((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) * S ((dst_negative_code_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)) + ((dst_negative_scale_inverse_unique_secondrighttable) + (dst_negative_scale_inverse_unique_secondrighttable)))))) /\ (forall dst_index_inverse_unique_secondrighttable. (exists pvs_le_gap_inverse_unique_secondrighttabledomain. pvs_le_gap_inverse_unique_secondrighttabledomain + (dst_index_inverse_unique_secondrighttable) = (N)) -> exists dst_positive_inverse_unique_secondrighttable dst_negative_inverse_unique_secondrighttable dst_value_inverse_unique_secondrighttable. ((((exists ff_h_pvs_inverse_unique_secondrighttableentrypositive. ff_h_pvs_inverse_unique_secondrighttableentrypositive + S (dst_positive_inverse_unique_secondrighttable) = S ((S (dst_index_inverse_unique_secondrighttable)) * dst_positive_scale_inverse_unique_secondrighttable)) /\ exists ff_q_pvs_inverse_unique_secondrighttableentrypositive. dst_positive_code_inverse_unique_secondrighttable = ff_q_pvs_inverse_unique_secondrighttableentrypositive * S ((S (dst_index_inverse_unique_secondrighttable)) * dst_positive_scale_inverse_unique_secondrighttable) + (dst_positive_inverse_unique_secondrighttable))) /\ (((((exists ff_h_pvs_inverse_unique_secondrighttableentrynegative. ff_h_pvs_inverse_unique_secondrighttableentrynegative + S (dst_negative_inverse_unique_secondrighttable) = S ((S (dst_index_inverse_unique_secondrighttable)) * dst_negative_scale_inverse_unique_secondrighttable)) /\ exists ff_q_pvs_inverse_unique_secondrighttableentrynegative. dst_negative_code_inverse_unique_secondrighttable = ff_q_pvs_inverse_unique_secondrighttableentrynegative * S ((S (dst_index_inverse_unique_secondrighttable)) * dst_negative_scale_inverse_unique_secondrighttable) + (dst_negative_inverse_unique_secondrighttable))) /\ (exists ge_balance_positive_inverse_unique_secondrighttableentryvalue ge_balance_negative_inverse_unique_secondrighttableentryvalue. (((((dst_value_inverse_unique_secondrighttable) = 2 * (ge_balance_positive_inverse_unique_secondrighttableentryvalue) /\ (ge_balance_negative_inverse_unique_secondrighttableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrighttableentryvaluedecode. (((dst_value_inverse_unique_secondrighttable) = 2 * ge_signed_half_inverse_unique_secondrighttableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrighttableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrighttableentryvalue) = S ge_signed_half_inverse_unique_secondrighttableentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondrighttable) + ge_balance_negative_inverse_unique_secondrighttableentryvalue = (dst_negative_inverse_unique_secondrighttable) + ge_balance_positive_inverse_unique_secondrighttableentryvalue))))))))) /\ (forall dc_input_inverse_unique_secondright dc_output_inverse_unique_secondright. ~(dc_input_inverse_unique_secondright=0) -> (exists pvs_le_gap_inverse_unique_secondrightdomain. pvs_le_gap_inverse_unique_secondrightdomain + (dc_input_inverse_unique_secondright) = (N)) -> (exists dst_positive_code_inverse_unique_secondrightlookup dst_positive_scale_inverse_unique_secondrightlookup dst_negative_code_inverse_unique_secondrightlookup dst_negative_scale_inverse_unique_secondrightlookup dst_positive_inverse_unique_secondrightlookup dst_negative_inverse_unique_secondrightlookup. (((di_delta_inverse_unique_second) = (((((dst_positive_code_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup)) * S ((dst_positive_code_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup)) + ((dst_positive_scale_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup))) + (((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) * S ((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) + ((dst_negative_scale_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)))) * S ((((dst_positive_code_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup)) * S ((dst_positive_code_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup)) + ((dst_positive_scale_inverse_unique_secondrightlookup) + (dst_positive_scale_inverse_unique_secondrightlookup))) + (((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) * S ((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) + ((dst_negative_scale_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)))) + ((((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) * S ((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) + ((dst_negative_scale_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup))) + (((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) * S ((dst_negative_code_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)) + ((dst_negative_scale_inverse_unique_secondrightlookup) + (dst_negative_scale_inverse_unique_secondrightlookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightlookuppositive. ff_h_pvs_inverse_unique_secondrightlookuppositive + S (dst_positive_inverse_unique_secondrightlookup) = S ((S (dc_input_inverse_unique_secondright)) * dst_positive_scale_inverse_unique_secondrightlookup)) /\ exists ff_q_pvs_inverse_unique_secondrightlookuppositive. dst_positive_code_inverse_unique_secondrightlookup = ff_q_pvs_inverse_unique_secondrightlookuppositive * S ((S (dc_input_inverse_unique_secondright)) * dst_positive_scale_inverse_unique_secondrightlookup) + (dst_positive_inverse_unique_secondrightlookup))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightlookupnegative. ff_h_pvs_inverse_unique_secondrightlookupnegative + S (dst_negative_inverse_unique_secondrightlookup) = S ((S (dc_input_inverse_unique_secondright)) * dst_negative_scale_inverse_unique_secondrightlookup)) /\ exists ff_q_pvs_inverse_unique_secondrightlookupnegative. dst_negative_code_inverse_unique_secondrightlookup = ff_q_pvs_inverse_unique_secondrightlookupnegative * S ((S (dc_input_inverse_unique_secondright)) * dst_negative_scale_inverse_unique_secondrightlookup) + (dst_negative_inverse_unique_secondrightlookup))) /\ (exists ge_balance_positive_inverse_unique_secondrightlookupvalue ge_balance_negative_inverse_unique_secondrightlookupvalue. (((((dc_output_inverse_unique_secondright) = 2 * (ge_balance_positive_inverse_unique_secondrightlookupvalue) /\ (ge_balance_negative_inverse_unique_secondrightlookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightlookupvaluedecode. (((dc_output_inverse_unique_secondright) = 2 * ge_signed_half_inverse_unique_secondrightlookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightlookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightlookupvalue) = S ge_signed_half_inverse_unique_secondrightlookupvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightlookup) + ge_balance_negative_inverse_unique_secondrightlookupvalue = (dst_negative_inverse_unique_secondrightlookup) + ge_balance_positive_inverse_unique_secondrightlookupvalue))))))))) -> (((~((dc_input_inverse_unique_secondright)=0)) /\ (exists dc_mask_inverse_unique_secondrightvalue. ((((exists dst_positive_code_inverse_unique_secondrightvaluemasktable dst_positive_scale_inverse_unique_secondrightvaluemasktable dst_negative_code_inverse_unique_secondrightvaluemasktable dst_negative_scale_inverse_unique_secondrightvaluemasktable. (((dc_mask_inverse_unique_secondrightvalue) = (((((dst_positive_code_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_positive_code_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_positive_scale_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable))) + (((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)))) * S ((((dst_positive_code_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_positive_code_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_positive_scale_inverse_unique_secondrightvaluemasktable) + (dst_positive_scale_inverse_unique_secondrightvaluemasktable))) + (((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)))) + ((((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable))) + (((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasktable) + (dst_negative_scale_inverse_unique_secondrightvaluemasktable)))))) /\ (forall dst_index_inverse_unique_secondrightvaluemasktable. (exists pvs_le_gap_inverse_unique_secondrightvaluemasktabledomain. pvs_le_gap_inverse_unique_secondrightvaluemasktabledomain + (dst_index_inverse_unique_secondrightvaluemasktable) = (dc_input_inverse_unique_secondright)) -> exists dst_positive_inverse_unique_secondrightvaluemasktable dst_negative_inverse_unique_secondrightvaluemasktable dst_value_inverse_unique_secondrightvaluemasktable. ((((exists ff_h_pvs_inverse_unique_secondrightvaluemasktableentrypositive. ff_h_pvs_inverse_unique_secondrightvaluemasktableentrypositive + S (dst_positive_inverse_unique_secondrightvaluemasktable) = S ((S (dst_index_inverse_unique_secondrightvaluemasktable)) * dst_positive_scale_inverse_unique_secondrightvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemasktableentrypositive. dst_positive_code_inverse_unique_secondrightvaluemasktable = ff_q_pvs_inverse_unique_secondrightvaluemasktableentrypositive * S ((S (dst_index_inverse_unique_secondrightvaluemasktable)) * dst_positive_scale_inverse_unique_secondrightvaluemasktable) + (dst_positive_inverse_unique_secondrightvaluemasktable))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemasktableentrynegative. ff_h_pvs_inverse_unique_secondrightvaluemasktableentrynegative + S (dst_negative_inverse_unique_secondrightvaluemasktable) = S ((S (dst_index_inverse_unique_secondrightvaluemasktable)) * dst_negative_scale_inverse_unique_secondrightvaluemasktable)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemasktableentrynegative. dst_negative_code_inverse_unique_secondrightvaluemasktable = ff_q_pvs_inverse_unique_secondrightvaluemasktableentrynegative * S ((S (dst_index_inverse_unique_secondrightvaluemasktable)) * dst_negative_scale_inverse_unique_secondrightvaluemasktable) + (dst_negative_inverse_unique_secondrightvaluemasktable))) /\ (exists ge_balance_positive_inverse_unique_secondrightvaluemasktableentryvalue ge_balance_negative_inverse_unique_secondrightvaluemasktableentryvalue. (((((dst_value_inverse_unique_secondrightvaluemasktable) = 2 * (ge_balance_positive_inverse_unique_secondrightvaluemasktableentryvalue) /\ (ge_balance_negative_inverse_unique_secondrightvaluemasktableentryvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemasktableentryvaluedecode. (((dst_value_inverse_unique_secondrightvaluemasktable) = 2 * ge_signed_half_inverse_unique_secondrightvaluemasktableentryvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightvaluemasktableentryvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightvaluemasktableentryvalue) = S ge_signed_half_inverse_unique_secondrightvaluemasktableentryvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightvaluemasktable) + ge_balance_negative_inverse_unique_secondrightvaluemasktableentryvalue = (dst_negative_inverse_unique_secondrightvaluemasktable) + ge_balance_positive_inverse_unique_secondrightvaluemasktableentryvalue))))))))) /\ (forall dc_index_inverse_unique_secondrightvaluemask dc_value_inverse_unique_secondrightvaluemask. (exists pvs_le_gap_inverse_unique_secondrightvaluemaskdomain. pvs_le_gap_inverse_unique_secondrightvaluemaskdomain + (dc_index_inverse_unique_secondrightvaluemask) = (dc_input_inverse_unique_secondright)) -> (exists dst_positive_code_inverse_unique_secondrightvaluemasklookup dst_positive_scale_inverse_unique_secondrightvaluemasklookup dst_negative_code_inverse_unique_secondrightvaluemasklookup dst_negative_scale_inverse_unique_secondrightvaluemasklookup dst_positive_inverse_unique_secondrightvaluemasklookup dst_negative_inverse_unique_secondrightvaluemasklookup. (((dc_mask_inverse_unique_secondrightvalue) = (((((dst_positive_code_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_positive_code_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_positive_scale_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)))) * S ((((dst_positive_code_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_positive_code_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_positive_scale_inverse_unique_secondrightvaluemasklookup) + (dst_positive_scale_inverse_unique_secondrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)))) + ((((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup))) + (((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) * S ((dst_negative_code_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) + ((dst_negative_scale_inverse_unique_secondrightvaluemasklookup) + (dst_negative_scale_inverse_unique_secondrightvaluemasklookup)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemasklookuppositive. ff_h_pvs_inverse_unique_secondrightvaluemasklookuppositive + S (dst_positive_inverse_unique_secondrightvaluemasklookup) = S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_positive_scale_inverse_unique_secondrightvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemasklookuppositive. dst_positive_code_inverse_unique_secondrightvaluemasklookup = ff_q_pvs_inverse_unique_secondrightvaluemasklookuppositive * S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_positive_scale_inverse_unique_secondrightvaluemasklookup) + (dst_positive_inverse_unique_secondrightvaluemasklookup))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemasklookupnegative. ff_h_pvs_inverse_unique_secondrightvaluemasklookupnegative + S (dst_negative_inverse_unique_secondrightvaluemasklookup) = S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_negative_scale_inverse_unique_secondrightvaluemasklookup)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemasklookupnegative. dst_negative_code_inverse_unique_secondrightvaluemasklookup = ff_q_pvs_inverse_unique_secondrightvaluemasklookupnegative * S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_negative_scale_inverse_unique_secondrightvaluemasklookup) + (dst_negative_inverse_unique_secondrightvaluemasklookup))) /\ (exists ge_balance_positive_inverse_unique_secondrightvaluemasklookupvalue ge_balance_negative_inverse_unique_secondrightvaluemasklookupvalue. (((((dc_value_inverse_unique_secondrightvaluemask) = 2 * (ge_balance_positive_inverse_unique_secondrightvaluemasklookupvalue) /\ (ge_balance_negative_inverse_unique_secondrightvaluemasklookupvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemasklookupvaluedecode. (((dc_value_inverse_unique_secondrightvaluemask) = 2 * ge_signed_half_inverse_unique_secondrightvaluemasklookupvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightvaluemasklookupvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightvaluemasklookupvalue) = S ge_signed_half_inverse_unique_secondrightvaluemasklookupvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightvaluemasklookup) + ge_balance_negative_inverse_unique_secondrightvaluemasklookupvalue = (dst_negative_inverse_unique_secondrightvaluemasklookup) + ge_balance_positive_inverse_unique_secondrightvaluemasklookupvalue))))))))) -> ((((~((dc_index_inverse_unique_secondrightvaluemask)=0)) /\ (exists dc_quotient_inverse_unique_secondrightvaluemaskentry dc_left_inverse_unique_secondrightvaluemaskentry dc_right_inverse_unique_secondrightvaluemaskentry. (((dc_input_inverse_unique_secondright)=(dc_index_inverse_unique_secondrightvaluemask)*dc_quotient_inverse_unique_secondrightvaluemaskentry) /\ (((exists dst_positive_code_inverse_unique_secondrightvaluemaskentryleft dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft dst_negative_code_inverse_unique_secondrightvaluemaskentryleft dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft dst_positive_inverse_unique_secondrightvaluemaskentryleft dst_negative_inverse_unique_secondrightvaluemaskentryleft. (((H) = (((((dst_positive_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)))) * S ((((dst_positive_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_positive_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)))) + ((((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemaskentryleftpositive. ff_h_pvs_inverse_unique_secondrightvaluemaskentryleftpositive + S (dst_positive_inverse_unique_secondrightvaluemaskentryleft) = S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemaskentryleftpositive. dst_positive_code_inverse_unique_secondrightvaluemaskentryleft = ff_q_pvs_inverse_unique_secondrightvaluemaskentryleftpositive * S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_positive_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_positive_inverse_unique_secondrightvaluemaskentryleft))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemaskentryleftnegative. ff_h_pvs_inverse_unique_secondrightvaluemaskentryleftnegative + S (dst_negative_inverse_unique_secondrightvaluemaskentryleft) = S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemaskentryleftnegative. dst_negative_code_inverse_unique_secondrightvaluemaskentryleft = ff_q_pvs_inverse_unique_secondrightvaluemaskentryleftnegative * S ((S (dc_index_inverse_unique_secondrightvaluemask)) * dst_negative_scale_inverse_unique_secondrightvaluemaskentryleft) + (dst_negative_inverse_unique_secondrightvaluemaskentryleft))) /\ (exists ge_balance_positive_inverse_unique_secondrightvaluemaskentryleftvalue ge_balance_negative_inverse_unique_secondrightvaluemaskentryleftvalue. (((((dc_left_inverse_unique_secondrightvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_secondrightvaluemaskentryleftvalue) /\ (ge_balance_negative_inverse_unique_secondrightvaluemaskentryleftvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemaskentryleftvaluedecode. (((dc_left_inverse_unique_secondrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondrightvaluemaskentryleftvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightvaluemaskentryleftvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightvaluemaskentryleftvalue) = S ge_signed_half_inverse_unique_secondrightvaluemaskentryleftvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightvaluemaskentryleft) + ge_balance_negative_inverse_unique_secondrightvaluemaskentryleftvalue = (dst_negative_inverse_unique_secondrightvaluemaskentryleft) + ge_balance_positive_inverse_unique_secondrightvaluemaskentryleftvalue))))))))) /\ (((exists dst_positive_code_inverse_unique_secondrightvaluemaskentryright dst_positive_scale_inverse_unique_secondrightvaluemaskentryright dst_negative_code_inverse_unique_secondrightvaluemaskentryright dst_negative_scale_inverse_unique_secondrightvaluemaskentryright dst_positive_inverse_unique_secondrightvaluemaskentryright dst_negative_inverse_unique_secondrightvaluemaskentryright. (((F) = (((((dst_positive_code_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)))) * S ((((dst_positive_code_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_positive_code_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_positive_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_scale_inverse_unique_secondrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)))) + ((((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright))) + (((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) * S ((dst_negative_code_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) + ((dst_negative_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)))))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemaskentryrightpositive. ff_h_pvs_inverse_unique_secondrightvaluemaskentryrightpositive + S (dst_positive_inverse_unique_secondrightvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_secondrightvaluemaskentry)) * dst_positive_scale_inverse_unique_secondrightvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemaskentryrightpositive. dst_positive_code_inverse_unique_secondrightvaluemaskentryright = ff_q_pvs_inverse_unique_secondrightvaluemaskentryrightpositive * S ((S (dc_quotient_inverse_unique_secondrightvaluemaskentry)) * dst_positive_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_positive_inverse_unique_secondrightvaluemaskentryright))) /\ (((((exists ff_h_pvs_inverse_unique_secondrightvaluemaskentryrightnegative. ff_h_pvs_inverse_unique_secondrightvaluemaskentryrightnegative + S (dst_negative_inverse_unique_secondrightvaluemaskentryright) = S ((S (dc_quotient_inverse_unique_secondrightvaluemaskentry)) * dst_negative_scale_inverse_unique_secondrightvaluemaskentryright)) /\ exists ff_q_pvs_inverse_unique_secondrightvaluemaskentryrightnegative. dst_negative_code_inverse_unique_secondrightvaluemaskentryright = ff_q_pvs_inverse_unique_secondrightvaluemaskentryrightnegative * S ((S (dc_quotient_inverse_unique_secondrightvaluemaskentry)) * dst_negative_scale_inverse_unique_secondrightvaluemaskentryright) + (dst_negative_inverse_unique_secondrightvaluemaskentryright))) /\ (exists ge_balance_positive_inverse_unique_secondrightvaluemaskentryrightvalue ge_balance_negative_inverse_unique_secondrightvaluemaskentryrightvalue. (((((dc_right_inverse_unique_secondrightvaluemaskentry) = 2 * (ge_balance_positive_inverse_unique_secondrightvaluemaskentryrightvalue) /\ (ge_balance_negative_inverse_unique_secondrightvaluemaskentryrightvalue) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemaskentryrightvaluedecode. (((dc_right_inverse_unique_secondrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondrightvaluemaskentryrightvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightvaluemaskentryrightvalue) = 0) /\ (ge_balance_negative_inverse_unique_secondrightvaluemaskentryrightvalue) = S ge_signed_half_inverse_unique_secondrightvaluemaskentryrightvaluedecode))) /\ ((dst_positive_inverse_unique_secondrightvaluemaskentryright) + ge_balance_negative_inverse_unique_secondrightvaluemaskentryrightvalue = (dst_negative_inverse_unique_secondrightvaluemaskentryright) + ge_balance_positive_inverse_unique_secondrightvaluemaskentryrightvalue))))))))) /\ (exists sto_ap_inverse_unique_secondrightvaluemaskentryproduct sto_an_inverse_unique_secondrightvaluemaskentryproduct sto_bp_inverse_unique_secondrightvaluemaskentryproduct sto_bn_inverse_unique_secondrightvaluemaskentryproduct sto_cp_inverse_unique_secondrightvaluemaskentryproduct sto_cn_inverse_unique_secondrightvaluemaskentryproduct. (((((dc_left_inverse_unique_secondrightvaluemaskentry) = 2 * (sto_ap_inverse_unique_secondrightvaluemaskentryproduct) /\ (sto_an_inverse_unique_secondrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemaskentryproductleft. (((dc_left_inverse_unique_secondrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondrightvaluemaskentryproductleft + 1 /\ (sto_ap_inverse_unique_secondrightvaluemaskentryproduct) = 0) /\ (sto_an_inverse_unique_secondrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondrightvaluemaskentryproductleft))) /\ ((((((dc_right_inverse_unique_secondrightvaluemaskentry) = 2 * (sto_bp_inverse_unique_secondrightvaluemaskentryproduct) /\ (sto_bn_inverse_unique_secondrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemaskentryproductright. (((dc_right_inverse_unique_secondrightvaluemaskentry) = 2 * ge_signed_half_inverse_unique_secondrightvaluemaskentryproductright + 1 /\ (sto_bp_inverse_unique_secondrightvaluemaskentryproduct) = 0) /\ (sto_bn_inverse_unique_secondrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondrightvaluemaskentryproductright))) /\ ((((((dc_value_inverse_unique_secondrightvaluemask) = 2 * (sto_cp_inverse_unique_secondrightvaluemaskentryproduct) /\ (sto_cn_inverse_unique_secondrightvaluemaskentryproduct) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluemaskentryproductoutput. (((dc_value_inverse_unique_secondrightvaluemask) = 2 * ge_signed_half_inverse_unique_secondrightvaluemaskentryproductoutput + 1 /\ (sto_cp_inverse_unique_secondrightvaluemaskentryproduct) = 0) /\ (sto_cn_inverse_unique_secondrightvaluemaskentryproduct) = S ge_signed_half_inverse_unique_secondrightvaluemaskentryproductoutput))) /\ ((sto_ap_inverse_unique_secondrightvaluemaskentryproduct * sto_bp_inverse_unique_secondrightvaluemaskentryproduct + sto_an_inverse_unique_secondrightvaluemaskentryproduct * sto_bn_inverse_unique_secondrightvaluemaskentryproduct) + sto_cn_inverse_unique_secondrightvaluemaskentryproduct = (sto_ap_inverse_unique_secondrightvaluemaskentryproduct * sto_bn_inverse_unique_secondrightvaluemaskentryproduct + sto_an_inverse_unique_secondrightvaluemaskentryproduct * sto_bp_inverse_unique_secondrightvaluemaskentryproduct) + sto_cp_inverse_unique_secondrightvaluemaskentryproduct))))))))))))))) \/ ((((dc_index_inverse_unique_secondrightvaluemask)=0 \/ ~(exists pvs_factor_inverse_unique_secondrightvaluemaskentrynondivisor. (dc_input_inverse_unique_secondright) = (dc_index_inverse_unique_secondrightvaluemask) * pvs_factor_inverse_unique_secondrightvaluemaskentrynondivisor)) /\ ((dc_value_inverse_unique_secondrightvaluemask)=0))))))) /\ (exists dst_positive_code_inverse_unique_secondrightvaluefold dst_positive_scale_inverse_unique_secondrightvaluefold dst_negative_code_inverse_unique_secondrightvaluefold dst_negative_scale_inverse_unique_secondrightvaluefold dst_positive_sum_inverse_unique_secondrightvaluefold dst_negative_sum_inverse_unique_secondrightvaluefold. (((dc_mask_inverse_unique_secondrightvalue) = (((((dst_positive_code_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold)) * S ((dst_positive_code_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold)) + ((dst_positive_scale_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold))) + (((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) * S ((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) + ((dst_negative_scale_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)))) * S ((((dst_positive_code_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold)) * S ((dst_positive_code_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold)) + ((dst_positive_scale_inverse_unique_secondrightvaluefold) + (dst_positive_scale_inverse_unique_secondrightvaluefold))) + (((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) * S ((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) + ((dst_negative_scale_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)))) + ((((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) * S ((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) + ((dst_negative_scale_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold))) + (((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) * S ((dst_negative_code_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)) + ((dst_negative_scale_inverse_unique_secondrightvaluefold) + (dst_negative_scale_inverse_unique_secondrightvaluefold)))))) /\ (((exists fs_u_dst_inverse_unique_secondrightvaluefoldpositive fs_v_dst_inverse_unique_secondrightvaluefoldpositive. ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_start. fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_start. fs_u_dst_inverse_unique_secondrightvaluefoldpositive = fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_start * S ((S (0)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive) + (0))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_terminal. fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_terminal + S (dst_positive_sum_inverse_unique_secondrightvaluefold) = S ((S (S (dc_input_inverse_unique_secondright))) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_terminal. fs_u_dst_inverse_unique_secondrightvaluefoldpositive = fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_terminal * S ((S (S (dc_input_inverse_unique_secondright))) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive) + (dst_positive_sum_inverse_unique_secondrightvaluefold))) /\ forall fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps. (exists fs_lt_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_bound. fs_lt_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_bound + S fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps = S (dc_input_inverse_unique_secondright)) -> exists fs_a_dst_inverse_unique_secondrightvaluefoldpositive_body_steps fs_r_dst_inverse_unique_secondrightvaluefoldpositive_body_steps fs_s_dst_inverse_unique_secondrightvaluefoldpositive_body_steps. ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_summand. fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_summand + S (fs_a_dst_inverse_unique_secondrightvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_secondrightvaluefold)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_summand. dst_positive_code_inverse_unique_secondrightvaluefold = fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_summand * S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * dst_positive_scale_inverse_unique_secondrightvaluefold) + (fs_a_dst_inverse_unique_secondrightvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_partial. fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_partial + S (fs_r_dst_inverse_unique_secondrightvaluefoldpositive_body_steps) = S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_partial. fs_u_dst_inverse_unique_secondrightvaluefoldpositive = fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_partial * S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive) + (fs_r_dst_inverse_unique_secondrightvaluefoldpositive_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_successor. fs_h_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_successor + S (fs_s_dst_inverse_unique_secondrightvaluefoldpositive_body_steps) = S ((S (S fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_successor. fs_u_dst_inverse_unique_secondrightvaluefoldpositive = fs_q_dst_inverse_unique_secondrightvaluefoldpositive_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldpositive) + (fs_s_dst_inverse_unique_secondrightvaluefoldpositive_body_steps))) /\ fs_s_dst_inverse_unique_secondrightvaluefoldpositive_body_steps = fs_r_dst_inverse_unique_secondrightvaluefoldpositive_body_steps + fs_a_dst_inverse_unique_secondrightvaluefoldpositive_body_steps)))))) /\ (((exists fs_u_dst_inverse_unique_secondrightvaluefoldnegative fs_v_dst_inverse_unique_secondrightvaluefoldnegative. ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_start. fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_start + S (0) = S ((S (0)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_start. fs_u_dst_inverse_unique_secondrightvaluefoldnegative = fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_start * S ((S (0)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative) + (0))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_terminal. fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_terminal + S (dst_negative_sum_inverse_unique_secondrightvaluefold) = S ((S (S (dc_input_inverse_unique_secondright))) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_terminal. fs_u_dst_inverse_unique_secondrightvaluefoldnegative = fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_terminal * S ((S (S (dc_input_inverse_unique_secondright))) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative) + (dst_negative_sum_inverse_unique_secondrightvaluefold))) /\ forall fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps. (exists fs_lt_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_bound. fs_lt_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_bound + S fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps = S (dc_input_inverse_unique_secondright)) -> exists fs_a_dst_inverse_unique_secondrightvaluefoldnegative_body_steps fs_r_dst_inverse_unique_secondrightvaluefoldnegative_body_steps fs_s_dst_inverse_unique_secondrightvaluefoldnegative_body_steps. ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_summand. fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_summand + S (fs_a_dst_inverse_unique_secondrightvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_secondrightvaluefold)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_summand. dst_negative_code_inverse_unique_secondrightvaluefold = fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_summand * S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * dst_negative_scale_inverse_unique_secondrightvaluefold) + (fs_a_dst_inverse_unique_secondrightvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_partial. fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_partial + S (fs_r_dst_inverse_unique_secondrightvaluefoldnegative_body_steps) = S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_partial. fs_u_dst_inverse_unique_secondrightvaluefoldnegative = fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_partial * S ((S (fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative) + (fs_r_dst_inverse_unique_secondrightvaluefoldnegative_body_steps))) /\ ((((exists fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_successor. fs_h_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_successor + S (fs_s_dst_inverse_unique_secondrightvaluefoldnegative_body_steps) = S ((S (S fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative)) /\ exists fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_successor. fs_u_dst_inverse_unique_secondrightvaluefoldnegative = fs_q_dst_inverse_unique_secondrightvaluefoldnegative_body_steps_successor * S ((S (S fs_i_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)) * fs_v_dst_inverse_unique_secondrightvaluefoldnegative) + (fs_s_dst_inverse_unique_secondrightvaluefoldnegative_body_steps))) /\ fs_s_dst_inverse_unique_secondrightvaluefoldnegative_body_steps = fs_r_dst_inverse_unique_secondrightvaluefoldnegative_body_steps + fs_a_dst_inverse_unique_secondrightvaluefoldnegative_body_steps)))))) /\ (exists ge_balance_positive_inverse_unique_secondrightvaluefoldresult ge_balance_negative_inverse_unique_secondrightvaluefoldresult. (((((dc_output_inverse_unique_secondright) = 2 * (ge_balance_positive_inverse_unique_secondrightvaluefoldresult) /\ (ge_balance_negative_inverse_unique_secondrightvaluefoldresult) = 0) \/ exists ge_signed_half_inverse_unique_secondrightvaluefoldresultdecode. (((dc_output_inverse_unique_secondright) = 2 * ge_signed_half_inverse_unique_secondrightvaluefoldresultdecode + 1 /\ (ge_balance_positive_inverse_unique_secondrightvaluefoldresult) = 0) /\ (ge_balance_negative_inverse_unique_secondrightvaluefoldresult) = S ge_signed_half_inverse_unique_secondrightvaluefoldresultdecode))) /\ ((dst_positive_sum_inverse_unique_secondrightvaluefold) + ge_balance_negative_inverse_unique_secondrightvaluefoldresult = (dst_negative_sum_inverse_unique_secondrightvaluefold) + ge_balance_positive_inverse_unique_secondrightvaluefoldresult)))))))))))))))))))))))) -> (forall dm_index_inverse_unique_result dm_first_value_inverse_unique_result dm_second_value_inverse_unique_result. ~(dm_index_inverse_unique_result=0) -> (exists pvs_le_gap_inverse_unique_resultdomain. pvs_le_gap_inverse_unique_resultdomain + (dm_index_inverse_unique_result) = (N)) -> (exists dst_positive_code_inverse_unique_resultfirst dst_positive_scale_inverse_unique_resultfirst dst_negative_code_inverse_unique_resultfirst dst_negative_scale_inverse_unique_resultfirst dst_positive_inverse_unique_resultfirst dst_negative_inverse_unique_resultfirst. (((G) = (((((dst_positive_code_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst)) * S ((dst_positive_code_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst)) + ((dst_positive_scale_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst))) + (((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) * S ((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) + ((dst_negative_scale_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)))) * S ((((dst_positive_code_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst)) * S ((dst_positive_code_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst)) + ((dst_positive_scale_inverse_unique_resultfirst) + (dst_positive_scale_inverse_unique_resultfirst))) + (((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) * S ((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) + ((dst_negative_scale_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)))) + ((((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) * S ((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) + ((dst_negative_scale_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst))) + (((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) * S ((dst_negative_code_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)) + ((dst_negative_scale_inverse_unique_resultfirst) + (dst_negative_scale_inverse_unique_resultfirst)))))) /\ (((((exists ff_h_pvs_inverse_unique_resultfirstpositive. ff_h_pvs_inverse_unique_resultfirstpositive + S (dst_positive_inverse_unique_resultfirst) = S ((S (dm_index_inverse_unique_result)) * dst_positive_scale_inverse_unique_resultfirst)) /\ exists ff_q_pvs_inverse_unique_resultfirstpositive. dst_positive_code_inverse_unique_resultfirst = ff_q_pvs_inverse_unique_resultfirstpositive * S ((S (dm_index_inverse_unique_result)) * dst_positive_scale_inverse_unique_resultfirst) + (dst_positive_inverse_unique_resultfirst))) /\ (((((exists ff_h_pvs_inverse_unique_resultfirstnegative. ff_h_pvs_inverse_unique_resultfirstnegative + S (dst_negative_inverse_unique_resultfirst) = S ((S (dm_index_inverse_unique_result)) * dst_negative_scale_inverse_unique_resultfirst)) /\ exists ff_q_pvs_inverse_unique_resultfirstnegative. dst_negative_code_inverse_unique_resultfirst = ff_q_pvs_inverse_unique_resultfirstnegative * S ((S (dm_index_inverse_unique_result)) * dst_negative_scale_inverse_unique_resultfirst) + (dst_negative_inverse_unique_resultfirst))) /\ (exists ge_balance_positive_inverse_unique_resultfirstvalue ge_balance_negative_inverse_unique_resultfirstvalue. (((((dm_first_value_inverse_unique_result) = 2 * (ge_balance_positive_inverse_unique_resultfirstvalue) /\ (ge_balance_negative_inverse_unique_resultfirstvalue) = 0) \/ exists ge_signed_half_inverse_unique_resultfirstvaluedecode. (((dm_first_value_inverse_unique_result) = 2 * ge_signed_half_inverse_unique_resultfirstvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_resultfirstvalue) = 0) /\ (ge_balance_negative_inverse_unique_resultfirstvalue) = S ge_signed_half_inverse_unique_resultfirstvaluedecode))) /\ ((dst_positive_inverse_unique_resultfirst) + ge_balance_negative_inverse_unique_resultfirstvalue = (dst_negative_inverse_unique_resultfirst) + ge_balance_positive_inverse_unique_resultfirstvalue))))))))) -> (exists dst_positive_code_inverse_unique_resultsecond dst_positive_scale_inverse_unique_resultsecond dst_negative_code_inverse_unique_resultsecond dst_negative_scale_inverse_unique_resultsecond dst_positive_inverse_unique_resultsecond dst_negative_inverse_unique_resultsecond. (((H) = (((((dst_positive_code_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond)) * S ((dst_positive_code_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond)) + ((dst_positive_scale_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond))) + (((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) * S ((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) + ((dst_negative_scale_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)))) * S ((((dst_positive_code_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond)) * S ((dst_positive_code_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond)) + ((dst_positive_scale_inverse_unique_resultsecond) + (dst_positive_scale_inverse_unique_resultsecond))) + (((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) * S ((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) + ((dst_negative_scale_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)))) + ((((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) * S ((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) + ((dst_negative_scale_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond))) + (((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) * S ((dst_negative_code_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)) + ((dst_negative_scale_inverse_unique_resultsecond) + (dst_negative_scale_inverse_unique_resultsecond)))))) /\ (((((exists ff_h_pvs_inverse_unique_resultsecondpositive. ff_h_pvs_inverse_unique_resultsecondpositive + S (dst_positive_inverse_unique_resultsecond) = S ((S (dm_index_inverse_unique_result)) * dst_positive_scale_inverse_unique_resultsecond)) /\ exists ff_q_pvs_inverse_unique_resultsecondpositive. dst_positive_code_inverse_unique_resultsecond = ff_q_pvs_inverse_unique_resultsecondpositive * S ((S (dm_index_inverse_unique_result)) * dst_positive_scale_inverse_unique_resultsecond) + (dst_positive_inverse_unique_resultsecond))) /\ (((((exists ff_h_pvs_inverse_unique_resultsecondnegative. ff_h_pvs_inverse_unique_resultsecondnegative + S (dst_negative_inverse_unique_resultsecond) = S ((S (dm_index_inverse_unique_result)) * dst_negative_scale_inverse_unique_resultsecond)) /\ exists ff_q_pvs_inverse_unique_resultsecondnegative. dst_negative_code_inverse_unique_resultsecond = ff_q_pvs_inverse_unique_resultsecondnegative * S ((S (dm_index_inverse_unique_result)) * dst_negative_scale_inverse_unique_resultsecond) + (dst_negative_inverse_unique_resultsecond))) /\ (exists ge_balance_positive_inverse_unique_resultsecondvalue ge_balance_negative_inverse_unique_resultsecondvalue. (((((dm_second_value_inverse_unique_result) = 2 * (ge_balance_positive_inverse_unique_resultsecondvalue) /\ (ge_balance_negative_inverse_unique_resultsecondvalue) = 0) \/ exists ge_signed_half_inverse_unique_resultsecondvaluedecode. (((dm_second_value_inverse_unique_result) = 2 * ge_signed_half_inverse_unique_resultsecondvaluedecode + 1 /\ (ge_balance_positive_inverse_unique_resultsecondvalue) = 0) /\ (ge_balance_negative_inverse_unique_resultsecondvalue) = S ge_signed_half_inverse_unique_resultsecondvaluedecode))) /\ ((dst_positive_inverse_unique_resultsecond) + ge_balance_negative_inverse_unique_resultsecondvalue = (dst_negative_inverse_unique_resultsecond) + ge_balance_positive_inverse_unique_resultsecondvalue))))))))) -> dm_first_value_inverse_unique_result=dm_second_value_inverse_unique_result)Complete tactic proof in conservative notation
All 72 original proof lines are preserved. Only local proposition formulas are abbreviated; every abbreviation has an exact binder-safe expansion check. The linked exact edition contains the unchanged replay script.
Read the argument
Proof checkpoints
72 script commands · 11 reading checkpoints · 2 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.
Definition notation is shown below. Open the paired exact edition for the original native formulas. Source pairing is not a new equivalence certificate.
01Fix variables and assumptionsL1–6
02Separate the logical casesL7–16
Follow the explicit conjunction, disjunction, witness, or contradiction step recorded below.
03Separate the logical casesL17–18
04Establish hlL19–25
Establish this local claim before using it. It is not an additional assumption. The following proof commands apply dirichlet delta left table.
- L19
have hl : DirichletTable(N,x,H,H)Definitions: DirichletTable(N,x,H,H)Original native command in the exact edition - L20
specialize dirichlet_delta_left_table (N) - L21
specialize dirichlet_delta_left_table (H) - L22
specialize dirichlet_delta_left_table (x) - L23
apply dirichlet_delta_left_table - L24
exact hh_witness_right_left_right_left - L25
exact hg_witness_left
05Establish hrL26–32
Establish this local claim before using it. It is not an additional assumption. The following proof commands apply dirichlet delta right table.
- L26
have hr : DirichletTable(N,G,x1,G)Definitions: DirichletTable(N,G,x1,G)Original native command in the exact edition - L27
specialize dirichlet_delta_right_table (N) - L28
specialize dirichlet_delta_right_table (G) - L29
specialize dirichlet_delta_right_table (x1) - L30
apply dirichlet_delta_right_table - L31
exact hg_witness_right_left_right_left - L32
exact hh_witness_left
06Separate the logical casesL33–38
07Fix variables and assumptionsL39–45
08Calculate and transport equalitiesL46–46
Carry out the recorded arithmetic or equality steps; inspect the exact commands for their direction and premises.
- L46
symm
09Use earlier factsL47–56
Instantiate or apply named facts and discharge the corresponding proof obligations.
- L47
specialize dirichlet_convolution_associative (N) - L48
specialize dirichlet_convolution_associative (G) - L49
specialize dirichlet_convolution_associative (F) - L50
specialize dirichlet_convolution_associative (H) - L51
specialize dirichlet_convolution_associative (x) - L52
specialize dirichlet_convolution_associative (x1) - L53
specialize dirichlet_convolution_associative (n) - L54
specialize dirichlet_convolution_associative (b) - L55
specialize dirichlet_convolution_associative (a) - L56
apply dirichlet_convolution_associative
10Use earlier factsL57–66
Instantiate or apply named facts and discharge the corresponding proof obligations.
Original defined command ledger · 72 lines
- 0001
intro N - 0002
intro F - 0003
intro G - 0004
intro H - 0005
intro hg - 0006
intro hh - 0007
cases hg - 0008
cases hg_witness - 0009
cases hg_witness_right - 0010
cases hh - 0011
cases hh_witness - 0012
cases hh_witness_right - 0013
cases hg_witness_right_left - 0014
cases hg_witness_right_left_right - 0015
cases hg_witness_right_left_right_right - 0016
cases hh_witness_right_left - 0017
cases hh_witness_right_left_right - 0018
cases hh_witness_right_left_right_right - 0019
have hl : DirichletTable(N,x,H,H) - 0020
specialize dirichlet_delta_left_table (N) - 0021
specialize dirichlet_delta_left_table (H) - 0022
specialize dirichlet_delta_left_table (x) - 0023
apply dirichlet_delta_left_table - 0024
exact hh_witness_right_left_right_left - 0025
exact hg_witness_left - 0026
have hr : DirichletTable(N,G,x1,G) - 0027
specialize dirichlet_delta_right_table (N) - 0028
specialize dirichlet_delta_right_table (G) - 0029
specialize dirichlet_delta_right_table (x1) - 0030
apply dirichlet_delta_right_table - 0031
exact hg_witness_right_left_right_left - 0032
exact hh_witness_left - 0033
cases hl - 0034
cases hl_right - 0035
cases hl_right_right - 0036
cases hr - 0037
cases hr_right - 0038
cases hr_right_right - 0039
intro n - 0040
intro a - 0041
intro b - 0042
intro hn - 0043
intro hb - 0044
intro ha - 0045
intro hv - 0046
symm - 0047
specialize dirichlet_convolution_associative (N) - 0048
specialize dirichlet_convolution_associative (G) - 0049
specialize dirichlet_convolution_associative (F) - 0050
specialize dirichlet_convolution_associative (H) - 0051
specialize dirichlet_convolution_associative (x) - 0052
specialize dirichlet_convolution_associative (x1) - 0053
specialize dirichlet_convolution_associative (n) - 0054
specialize dirichlet_convolution_associative (b) - 0055
specialize dirichlet_convolution_associative (a) - 0056
apply dirichlet_convolution_associative - 0057
exact hg_witness_right_right - 0058
exact hh_witness_right_left - 0059
exact hn - 0060
exact hb - 0061
specialize hl_right_right_right (n) - 0062
specialize hl_right_right_right (b) - 0063
apply hl_right_right_right - 0064
exact hn - 0065
exact hb - 0066
exact hv - 0067
specialize hr_right_right_right (n) - 0068
specialize hr_right_right_right (a) - 0069
apply hr_right_right_right - 0070
exact hn - 0071
exact hb - 0072
exact ha