MultinomialCarryPrefix(p,b,c,sb,sc,vb,vc,l)

forall mkm_index_secondwave. (exists mkm_lt_secondwave_bound. mkm_lt_secondwave_bound + S (mkm_index_secondwave) = (l)) -> (exists mkm_value_secondwave_point mkm_partial_secondwave_point mkm_count_secondwave_point. (((exists fs_h_mkm_secondwave_point_source. fs_h_mkm_secondwave_point_source + S (mkm_value_secondwave_point) = S ((S (mkm_index_secondwave)) * c)) /\ exists fs_q_mkm_secondwave_point_source. b = fs_q_mkm_secondwave_point_source * S ((S (mkm_index_secondwave)) * c) + (mkm_value_secondwave_point))) /\ ((((exists fs_h_mkm_secondwave_point_partial. fs_h_mkm_secondwave_point_partial + S (mkm_partial_secondwave_point) = S ((S (mkm_index_secondwave)) * sc)) /\ exists fs_q_mkm_secondwave_point_partial. sb = fs_q_mkm_secondwave_point_partial * S ((S (mkm_index_secondwave)) * sc) + (mkm_partial_secondwave_point))) /\ ((((exists fs_h_mkm_secondwave_point_stored. fs_h_mkm_secondwave_point_stored + S (mkm_count_secondwave_point) = S ((S (mkm_index_secondwave)) * vc)) /\ exists fs_q_mkm_secondwave_point_stored. vb = fs_q_mkm_secondwave_point_stored * S ((S (mkm_index_secondwave)) * vc) + (mkm_count_secondwave_point))) /\ (exists mkm_lb_secondwave_point_binary mkm_lc_secondwave_point_binary mkm_rb_secondwave_point_binary mkm_rc_secondwave_point_binary mkm_tb_secondwave_point_binary mkm_tc_secondwave_point_binary mkm_cb_secondwave_point_binary mkm_cc_secondwave_point_binary. (forall bls_index_mkm_secondwave_point_binary_left. (exists bls_gap_mkm_secondwave_point_binary_left_bound. bls_gap_mkm_secondwave_point_binary_left_bound + S (bls_index_mkm_secondwave_point_binary_left) = (mkm_partial_secondwave_point + mkm_value_secondwave_point)) -> exists bls_power_mkm_secondwave_point_binary_left bls_quotient_mkm_secondwave_point_binary_left bls_remainder_mkm_secondwave_point_binary_left. ((exists bpvi_b_bls_mkm_secondwave_point_binary_left_power bpvi_c_bls_mkm_secondwave_point_binary_left_power. ((forall bpvi_i_bls_mkm_secondwave_point_binary_left_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_point_binary_left_power. bpvi_repeat_gap_bls_mkm_secondwave_point_binary_left_power + S bpvi_i_bls_mkm_secondwave_point_binary_left_power = S bls_index_mkm_secondwave_point_binary_left) -> (((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_repeat. bpvi_h_bls_mkm_secondwave_point_binary_left_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_point_binary_left_power)) * bpvi_c_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_repeat. bpvi_b_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_point_binary_left_power)) * bpvi_c_bls_mkm_secondwave_point_binary_left_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_point_binary_left_power bpvi_v_bls_mkm_secondwave_point_binary_left_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_start. bpvi_h_bls_mkm_secondwave_point_binary_left_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_start. bpvi_u_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_terminal. bpvi_h_bls_mkm_secondwave_point_binary_left_power_terminal + S (bls_power_mkm_secondwave_point_binary_left) = S ((S (S bls_index_mkm_secondwave_point_binary_left)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_terminal. bpvi_u_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_terminal * S ((S (S bls_index_mkm_secondwave_point_binary_left)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power) + (bls_power_mkm_secondwave_point_binary_left))) /\ forall bpvi_j_bls_mkm_secondwave_point_binary_left_power. (exists bpvi_product_gap_bls_mkm_secondwave_point_binary_left_power. bpvi_product_gap_bls_mkm_secondwave_point_binary_left_power + S bpvi_j_bls_mkm_secondwave_point_binary_left_power = S bls_index_mkm_secondwave_point_binary_left) -> exists bpvi_factor_bls_mkm_secondwave_point_binary_left_power bpvi_partial_bls_mkm_secondwave_point_binary_left_power bpvi_successor_bls_mkm_secondwave_point_binary_left_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_factor. bpvi_h_bls_mkm_secondwave_point_binary_left_power_factor + S (bpvi_factor_bls_mkm_secondwave_point_binary_left_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_c_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_factor. bpvi_b_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_c_bls_mkm_secondwave_point_binary_left_power) + (bpvi_factor_bls_mkm_secondwave_point_binary_left_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_partial. bpvi_h_bls_mkm_secondwave_point_binary_left_power_partial + S (bpvi_partial_bls_mkm_secondwave_point_binary_left_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_partial. bpvi_u_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power) + (bpvi_partial_bls_mkm_secondwave_point_binary_left_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_left_power_successor. bpvi_h_bls_mkm_secondwave_point_binary_left_power_successor + S (bpvi_successor_bls_mkm_secondwave_point_binary_left_power) = S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_left_power_successor. bpvi_u_bls_mkm_secondwave_point_binary_left_power = bpvi_q_bls_mkm_secondwave_point_binary_left_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_left_power)) * bpvi_v_bls_mkm_secondwave_point_binary_left_power) + (bpvi_successor_bls_mkm_secondwave_point_binary_left_power))) /\ bpvi_successor_bls_mkm_secondwave_point_binary_left_power = bpvi_partial_bls_mkm_secondwave_point_binary_left_power * bpvi_factor_bls_mkm_secondwave_point_binary_left_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_point_binary_left_quotient_entry. ff_h_bls_mkm_secondwave_point_binary_left_quotient_entry + S (bls_quotient_mkm_secondwave_point_binary_left) = S ((S (bls_index_mkm_secondwave_point_binary_left)) * mkm_lc_secondwave_point_binary)) /\ exists ff_q_bls_mkm_secondwave_point_binary_left_quotient_entry. mkm_lb_secondwave_point_binary = ff_q_bls_mkm_secondwave_point_binary_left_quotient_entry * S ((S (bls_index_mkm_secondwave_point_binary_left)) * mkm_lc_secondwave_point_binary) + (bls_quotient_mkm_secondwave_point_binary_left))) /\ ((mkm_partial_secondwave_point = bls_power_mkm_secondwave_point_binary_left * bls_quotient_mkm_secondwave_point_binary_left + bls_remainder_mkm_secondwave_point_binary_left /\ exists bls_remainder_gap_mkm_secondwave_point_binary_left_division. bls_remainder_gap_mkm_secondwave_point_binary_left_division + S (bls_remainder_mkm_secondwave_point_binary_left) = bls_power_mkm_secondwave_point_binary_left))))) /\ ((forall bls_index_mkm_secondwave_point_binary_right. (exists bls_gap_mkm_secondwave_point_binary_right_bound. bls_gap_mkm_secondwave_point_binary_right_bound + S (bls_index_mkm_secondwave_point_binary_right) = (mkm_partial_secondwave_point + mkm_value_secondwave_point)) -> exists bls_power_mkm_secondwave_point_binary_right bls_quotient_mkm_secondwave_point_binary_right bls_remainder_mkm_secondwave_point_binary_right. ((exists bpvi_b_bls_mkm_secondwave_point_binary_right_power bpvi_c_bls_mkm_secondwave_point_binary_right_power. ((forall bpvi_i_bls_mkm_secondwave_point_binary_right_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_point_binary_right_power. bpvi_repeat_gap_bls_mkm_secondwave_point_binary_right_power + S bpvi_i_bls_mkm_secondwave_point_binary_right_power = S bls_index_mkm_secondwave_point_binary_right) -> (((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_repeat. bpvi_h_bls_mkm_secondwave_point_binary_right_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_point_binary_right_power)) * bpvi_c_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_repeat. bpvi_b_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_point_binary_right_power)) * bpvi_c_bls_mkm_secondwave_point_binary_right_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_point_binary_right_power bpvi_v_bls_mkm_secondwave_point_binary_right_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_start. bpvi_h_bls_mkm_secondwave_point_binary_right_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_start. bpvi_u_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_terminal. bpvi_h_bls_mkm_secondwave_point_binary_right_power_terminal + S (bls_power_mkm_secondwave_point_binary_right) = S ((S (S bls_index_mkm_secondwave_point_binary_right)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_terminal. bpvi_u_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_terminal * S ((S (S bls_index_mkm_secondwave_point_binary_right)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power) + (bls_power_mkm_secondwave_point_binary_right))) /\ forall bpvi_j_bls_mkm_secondwave_point_binary_right_power. (exists bpvi_product_gap_bls_mkm_secondwave_point_binary_right_power. bpvi_product_gap_bls_mkm_secondwave_point_binary_right_power + S bpvi_j_bls_mkm_secondwave_point_binary_right_power = S bls_index_mkm_secondwave_point_binary_right) -> exists bpvi_factor_bls_mkm_secondwave_point_binary_right_power bpvi_partial_bls_mkm_secondwave_point_binary_right_power bpvi_successor_bls_mkm_secondwave_point_binary_right_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_factor. bpvi_h_bls_mkm_secondwave_point_binary_right_power_factor + S (bpvi_factor_bls_mkm_secondwave_point_binary_right_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_c_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_factor. bpvi_b_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_c_bls_mkm_secondwave_point_binary_right_power) + (bpvi_factor_bls_mkm_secondwave_point_binary_right_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_partial. bpvi_h_bls_mkm_secondwave_point_binary_right_power_partial + S (bpvi_partial_bls_mkm_secondwave_point_binary_right_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_partial. bpvi_u_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power) + (bpvi_partial_bls_mkm_secondwave_point_binary_right_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_right_power_successor. bpvi_h_bls_mkm_secondwave_point_binary_right_power_successor + S (bpvi_successor_bls_mkm_secondwave_point_binary_right_power) = S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_right_power_successor. bpvi_u_bls_mkm_secondwave_point_binary_right_power = bpvi_q_bls_mkm_secondwave_point_binary_right_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_right_power)) * bpvi_v_bls_mkm_secondwave_point_binary_right_power) + (bpvi_successor_bls_mkm_secondwave_point_binary_right_power))) /\ bpvi_successor_bls_mkm_secondwave_point_binary_right_power = bpvi_partial_bls_mkm_secondwave_point_binary_right_power * bpvi_factor_bls_mkm_secondwave_point_binary_right_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_point_binary_right_quotient_entry. ff_h_bls_mkm_secondwave_point_binary_right_quotient_entry + S (bls_quotient_mkm_secondwave_point_binary_right) = S ((S (bls_index_mkm_secondwave_point_binary_right)) * mkm_rc_secondwave_point_binary)) /\ exists ff_q_bls_mkm_secondwave_point_binary_right_quotient_entry. mkm_rb_secondwave_point_binary = ff_q_bls_mkm_secondwave_point_binary_right_quotient_entry * S ((S (bls_index_mkm_secondwave_point_binary_right)) * mkm_rc_secondwave_point_binary) + (bls_quotient_mkm_secondwave_point_binary_right))) /\ ((mkm_value_secondwave_point = bls_power_mkm_secondwave_point_binary_right * bls_quotient_mkm_secondwave_point_binary_right + bls_remainder_mkm_secondwave_point_binary_right /\ exists bls_remainder_gap_mkm_secondwave_point_binary_right_division. bls_remainder_gap_mkm_secondwave_point_binary_right_division + S (bls_remainder_mkm_secondwave_point_binary_right) = bls_power_mkm_secondwave_point_binary_right))))) /\ ((forall bls_index_mkm_secondwave_point_binary_total. (exists bls_gap_mkm_secondwave_point_binary_total_bound. bls_gap_mkm_secondwave_point_binary_total_bound + S (bls_index_mkm_secondwave_point_binary_total) = (mkm_partial_secondwave_point + mkm_value_secondwave_point)) -> exists bls_power_mkm_secondwave_point_binary_total bls_quotient_mkm_secondwave_point_binary_total bls_remainder_mkm_secondwave_point_binary_total. ((exists bpvi_b_bls_mkm_secondwave_point_binary_total_power bpvi_c_bls_mkm_secondwave_point_binary_total_power. ((forall bpvi_i_bls_mkm_secondwave_point_binary_total_power. (exists bpvi_repeat_gap_bls_mkm_secondwave_point_binary_total_power. bpvi_repeat_gap_bls_mkm_secondwave_point_binary_total_power + S bpvi_i_bls_mkm_secondwave_point_binary_total_power = S bls_index_mkm_secondwave_point_binary_total) -> (((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_repeat. bpvi_h_bls_mkm_secondwave_point_binary_total_power_repeat + S (p) = S ((S (bpvi_i_bls_mkm_secondwave_point_binary_total_power)) * bpvi_c_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_repeat. bpvi_b_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_repeat * S ((S (bpvi_i_bls_mkm_secondwave_point_binary_total_power)) * bpvi_c_bls_mkm_secondwave_point_binary_total_power) + (p)))) /\ (exists bpvi_u_bls_mkm_secondwave_point_binary_total_power bpvi_v_bls_mkm_secondwave_point_binary_total_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_start. bpvi_h_bls_mkm_secondwave_point_binary_total_power_start + S (1) = S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_start. bpvi_u_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_start * S ((S (0)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power) + (1))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_terminal. bpvi_h_bls_mkm_secondwave_point_binary_total_power_terminal + S (bls_power_mkm_secondwave_point_binary_total) = S ((S (S bls_index_mkm_secondwave_point_binary_total)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_terminal. bpvi_u_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_terminal * S ((S (S bls_index_mkm_secondwave_point_binary_total)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power) + (bls_power_mkm_secondwave_point_binary_total))) /\ forall bpvi_j_bls_mkm_secondwave_point_binary_total_power. (exists bpvi_product_gap_bls_mkm_secondwave_point_binary_total_power. bpvi_product_gap_bls_mkm_secondwave_point_binary_total_power + S bpvi_j_bls_mkm_secondwave_point_binary_total_power = S bls_index_mkm_secondwave_point_binary_total) -> exists bpvi_factor_bls_mkm_secondwave_point_binary_total_power bpvi_partial_bls_mkm_secondwave_point_binary_total_power bpvi_successor_bls_mkm_secondwave_point_binary_total_power. ((((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_factor. bpvi_h_bls_mkm_secondwave_point_binary_total_power_factor + S (bpvi_factor_bls_mkm_secondwave_point_binary_total_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_c_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_factor. bpvi_b_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_factor * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_c_bls_mkm_secondwave_point_binary_total_power) + (bpvi_factor_bls_mkm_secondwave_point_binary_total_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_partial. bpvi_h_bls_mkm_secondwave_point_binary_total_power_partial + S (bpvi_partial_bls_mkm_secondwave_point_binary_total_power) = S ((S (bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_partial. bpvi_u_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_partial * S ((S (bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power) + (bpvi_partial_bls_mkm_secondwave_point_binary_total_power))) /\ ((((exists bpvi_h_bls_mkm_secondwave_point_binary_total_power_successor. bpvi_h_bls_mkm_secondwave_point_binary_total_power_successor + S (bpvi_successor_bls_mkm_secondwave_point_binary_total_power) = S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power)) /\ exists bpvi_q_bls_mkm_secondwave_point_binary_total_power_successor. bpvi_u_bls_mkm_secondwave_point_binary_total_power = bpvi_q_bls_mkm_secondwave_point_binary_total_power_successor * S ((S (S bpvi_j_bls_mkm_secondwave_point_binary_total_power)) * bpvi_v_bls_mkm_secondwave_point_binary_total_power) + (bpvi_successor_bls_mkm_secondwave_point_binary_total_power))) /\ bpvi_successor_bls_mkm_secondwave_point_binary_total_power = bpvi_partial_bls_mkm_secondwave_point_binary_total_power * bpvi_factor_bls_mkm_secondwave_point_binary_total_power)))))))) /\ ((((exists ff_h_bls_mkm_secondwave_point_binary_total_quotient_entry. ff_h_bls_mkm_secondwave_point_binary_total_quotient_entry + S (bls_quotient_mkm_secondwave_point_binary_total) = S ((S (bls_index_mkm_secondwave_point_binary_total)) * mkm_tc_secondwave_point_binary)) /\ exists ff_q_bls_mkm_secondwave_point_binary_total_quotient_entry. mkm_tb_secondwave_point_binary = ff_q_bls_mkm_secondwave_point_binary_total_quotient_entry * S ((S (bls_index_mkm_secondwave_point_binary_total)) * mkm_tc_secondwave_point_binary) + (bls_quotient_mkm_secondwave_point_binary_total))) /\ ((mkm_partial_secondwave_point + mkm_value_secondwave_point = bls_power_mkm_secondwave_point_binary_total * bls_quotient_mkm_secondwave_point_binary_total + bls_remainder_mkm_secondwave_point_binary_total /\ exists bls_remainder_gap_mkm_secondwave_point_binary_total_division. bls_remainder_gap_mkm_secondwave_point_binary_total_division + S (bls_remainder_mkm_secondwave_point_binary_total) = bls_power_mkm_secondwave_point_binary_total))))) /\ ((forall kmc_index_mkm_secondwave_point_binary_carries. (exists bcf_lt_gap_mkm_secondwave_point_binary_carries_bound. bcf_lt_gap_mkm_secondwave_point_binary_carries_bound + S (kmc_index_mkm_secondwave_point_binary_carries) = mkm_partial_secondwave_point + mkm_value_secondwave_point) -> exists kmc_left_mkm_secondwave_point_binary_carries kmc_right_mkm_secondwave_point_binary_carries kmc_total_mkm_secondwave_point_binary_carries kmc_bit_mkm_secondwave_point_binary_carries. (((exists fs_h_mkm_secondwave_point_binary_carries_left. fs_h_mkm_secondwave_point_binary_carries_left + S (kmc_left_mkm_secondwave_point_binary_carries) = S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_lc_secondwave_point_binary)) /\ exists fs_q_mkm_secondwave_point_binary_carries_left. mkm_lb_secondwave_point_binary = fs_q_mkm_secondwave_point_binary_carries_left * S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_lc_secondwave_point_binary) + (kmc_left_mkm_secondwave_point_binary_carries))) /\ ((((exists fs_h_mkm_secondwave_point_binary_carries_right. fs_h_mkm_secondwave_point_binary_carries_right + S (kmc_right_mkm_secondwave_point_binary_carries) = S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_rc_secondwave_point_binary)) /\ exists fs_q_mkm_secondwave_point_binary_carries_right. mkm_rb_secondwave_point_binary = fs_q_mkm_secondwave_point_binary_carries_right * S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_rc_secondwave_point_binary) + (kmc_right_mkm_secondwave_point_binary_carries))) /\ ((((exists fs_h_mkm_secondwave_point_binary_carries_total. fs_h_mkm_secondwave_point_binary_carries_total + S (kmc_total_mkm_secondwave_point_binary_carries) = S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_tc_secondwave_point_binary)) /\ exists fs_q_mkm_secondwave_point_binary_carries_total. mkm_tb_secondwave_point_binary = fs_q_mkm_secondwave_point_binary_carries_total * S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_tc_secondwave_point_binary) + (kmc_total_mkm_secondwave_point_binary_carries))) /\ ((((exists fs_h_mkm_secondwave_point_binary_carries_bit. fs_h_mkm_secondwave_point_binary_carries_bit + S (kmc_bit_mkm_secondwave_point_binary_carries) = S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_cc_secondwave_point_binary)) /\ exists fs_q_mkm_secondwave_point_binary_carries_bit. mkm_cb_secondwave_point_binary = fs_q_mkm_secondwave_point_binary_carries_bit * S ((S (kmc_index_mkm_secondwave_point_binary_carries)) * mkm_cc_secondwave_point_binary) + (kmc_bit_mkm_secondwave_point_binary_carries))) /\ (((kmc_bit_mkm_secondwave_point_binary_carries = 0 /\ kmc_total_mkm_secondwave_point_binary_carries = kmc_left_mkm_secondwave_point_binary_carries + kmc_right_mkm_secondwave_point_binary_carries) \/ (kmc_bit_mkm_secondwave_point_binary_carries = 1 /\ kmc_total_mkm_secondwave_point_binary_carries = S (kmc_left_mkm_secondwave_point_binary_carries + kmc_right_mkm_secondwave_point_binary_carries)))))))) /\ (((exists ff_u_mkm_secondwave_point_binary_count_sum ff_v_mkm_secondwave_point_binary_count_sum. ((((exists ff_h_mkm_secondwave_point_binary_count_sum_start. ff_h_mkm_secondwave_point_binary_count_sum_start + S (0) = S ((S (0)) * ff_v_mkm_secondwave_point_binary_count_sum)) /\ exists ff_q_mkm_secondwave_point_binary_count_sum_start. ff_u_mkm_secondwave_point_binary_count_sum = ff_q_mkm_secondwave_point_binary_count_sum_start * S ((S (0)) * ff_v_mkm_secondwave_point_binary_count_sum) + (0))) /\ ((((exists ff_h_mkm_secondwave_point_binary_count_sum_terminal. ff_h_mkm_secondwave_point_binary_count_sum_terminal + S ((mkm_count_secondwave_point)) = S ((S ((mkm_partial_secondwave_point + mkm_value_secondwave_point))) * ff_v_mkm_secondwave_point_binary_count_sum)) /\ exists ff_q_mkm_secondwave_point_binary_count_sum_terminal. ff_u_mkm_secondwave_point_binary_count_sum = ff_q_mkm_secondwave_point_binary_count_sum_terminal * S ((S ((mkm_partial_secondwave_point + mkm_value_secondwave_point))) * ff_v_mkm_secondwave_point_binary_count_sum) + ((mkm_count_secondwave_point)))) /\ forall ff_i_mkm_secondwave_point_binary_count_sum. (exists ff_lt_mkm_secondwave_point_binary_count_sum_bound. ff_lt_mkm_secondwave_point_binary_count_sum_bound + S ff_i_mkm_secondwave_point_binary_count_sum = (mkm_partial_secondwave_point + mkm_value_secondwave_point)) -> exists ff_a_mkm_secondwave_point_binary_count_sum ff_r_mkm_secondwave_point_binary_count_sum ff_s_mkm_secondwave_point_binary_count_sum. ((((exists ff_h_mkm_secondwave_point_binary_count_sum_summand. ff_h_mkm_secondwave_point_binary_count_sum_summand + S (ff_a_mkm_secondwave_point_binary_count_sum) = S ((S (ff_i_mkm_secondwave_point_binary_count_sum)) * mkm_cc_secondwave_point_binary)) /\ exists ff_q_mkm_secondwave_point_binary_count_sum_summand. mkm_cb_secondwave_point_binary = ff_q_mkm_secondwave_point_binary_count_sum_summand * S ((S (ff_i_mkm_secondwave_point_binary_count_sum)) * mkm_cc_secondwave_point_binary) + (ff_a_mkm_secondwave_point_binary_count_sum))) /\ ((((exists ff_h_mkm_secondwave_point_binary_count_sum_partial. ff_h_mkm_secondwave_point_binary_count_sum_partial + S (ff_r_mkm_secondwave_point_binary_count_sum) = S ((S (ff_i_mkm_secondwave_point_binary_count_sum)) * ff_v_mkm_secondwave_point_binary_count_sum)) /\ exists ff_q_mkm_secondwave_point_binary_count_sum_partial. ff_u_mkm_secondwave_point_binary_count_sum = ff_q_mkm_secondwave_point_binary_count_sum_partial * S ((S (ff_i_mkm_secondwave_point_binary_count_sum)) * ff_v_mkm_secondwave_point_binary_count_sum) + (ff_r_mkm_secondwave_point_binary_count_sum))) /\ ((((exists ff_h_mkm_secondwave_point_binary_count_sum_successor. ff_h_mkm_secondwave_point_binary_count_sum_successor + S (ff_s_mkm_secondwave_point_binary_count_sum) = S ((S (S ff_i_mkm_secondwave_point_binary_count_sum)) * ff_v_mkm_secondwave_point_binary_count_sum)) /\ exists ff_q_mkm_secondwave_point_binary_count_sum_successor. ff_u_mkm_secondwave_point_binary_count_sum = ff_q_mkm_secondwave_point_binary_count_sum_successor * S ((S (S ff_i_mkm_secondwave_point_binary_count_sum)) * ff_v_mkm_secondwave_point_binary_count_sum) + (ff_s_mkm_secondwave_point_binary_count_sum))) /\ ff_s_mkm_secondwave_point_binary_count_sum = ff_r_mkm_secondwave_point_binary_count_sum + ff_a_mkm_secondwave_point_binary_count_sum)))))) /\ (forall ff_i_mkm_secondwave_point_binary_count_bits. (exists ff_lt_mkm_secondwave_point_binary_count_bits_bound. ff_lt_mkm_secondwave_point_binary_count_bits_bound + S ff_i_mkm_secondwave_point_binary_count_bits = (mkm_partial_secondwave_point + mkm_value_secondwave_point)) -> exists ff_bit_mkm_secondwave_point_binary_count_bits. ((((exists ff_h_mkm_secondwave_point_binary_count_bits_decoded. ff_h_mkm_secondwave_point_binary_count_bits_decoded + S (ff_bit_mkm_secondwave_point_binary_count_bits) = S ((S (ff_i_mkm_secondwave_point_binary_count_bits)) * mkm_cc_secondwave_point_binary)) /\ exists ff_q_mkm_secondwave_point_binary_count_bits_decoded. mkm_cb_secondwave_point_binary = ff_q_mkm_secondwave_point_binary_count_bits_decoded * S ((S (ff_i_mkm_secondwave_point_binary_count_bits)) * mkm_cc_secondwave_point_binary) + (ff_bit_mkm_secondwave_point_binary_count_bits))) /\ (ff_bit_mkm_secondwave_point_binary_count_bits = 0 \/ ff_bit_mkm_secondwave_point_binary_count_bits = 1))))))))))))

The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.