PowerDifferenceQuotient(a,b,n,A,B,d,q)

(((a) = (b) + (d)) /\ (((exists pa_b_olte_prioritylayerfirst pa_c_olte_prioritylayerfirst. ((forall pa_i_olte_prioritylayerfirst_repeat. (exists pa_lt_olte_prioritylayerfirst_repeat_bound. pa_lt_olte_prioritylayerfirst_repeat_bound + S pa_i_olte_prioritylayerfirst_repeat = n) -> (((exists pa_h_olte_prioritylayerfirst_repeat_decoded. pa_h_olte_prioritylayerfirst_repeat_decoded + S (a) = S ((S (pa_i_olte_prioritylayerfirst_repeat)) * pa_c_olte_prioritylayerfirst)) /\ exists pa_q_olte_prioritylayerfirst_repeat_decoded. pa_b_olte_prioritylayerfirst = pa_q_olte_prioritylayerfirst_repeat_decoded * S ((S (pa_i_olte_prioritylayerfirst_repeat)) * pa_c_olte_prioritylayerfirst) + (a)))) /\ (exists pa_u_olte_prioritylayerfirst_product pa_v_olte_prioritylayerfirst_product. ((((exists pa_h_olte_prioritylayerfirst_product_start. pa_h_olte_prioritylayerfirst_product_start + S (1) = S ((S (0)) * pa_v_olte_prioritylayerfirst_product)) /\ exists pa_q_olte_prioritylayerfirst_product_start. pa_u_olte_prioritylayerfirst_product = pa_q_olte_prioritylayerfirst_product_start * S ((S (0)) * pa_v_olte_prioritylayerfirst_product) + (1))) /\ ((((exists pa_h_olte_prioritylayerfirst_product_terminal. pa_h_olte_prioritylayerfirst_product_terminal + S (A) = S ((S (n)) * pa_v_olte_prioritylayerfirst_product)) /\ exists pa_q_olte_prioritylayerfirst_product_terminal. pa_u_olte_prioritylayerfirst_product = pa_q_olte_prioritylayerfirst_product_terminal * S ((S (n)) * pa_v_olte_prioritylayerfirst_product) + (A))) /\ forall pa_i_olte_prioritylayerfirst_product. (exists pa_lt_olte_prioritylayerfirst_product_bound. pa_lt_olte_prioritylayerfirst_product_bound + S pa_i_olte_prioritylayerfirst_product = n) -> exists pa_p_olte_prioritylayerfirst_product pa_r_olte_prioritylayerfirst_product pa_s_olte_prioritylayerfirst_product. ((((exists pa_h_olte_prioritylayerfirst_product_factor. pa_h_olte_prioritylayerfirst_product_factor + S (pa_p_olte_prioritylayerfirst_product) = S ((S (pa_i_olte_prioritylayerfirst_product)) * pa_c_olte_prioritylayerfirst)) /\ exists pa_q_olte_prioritylayerfirst_product_factor. pa_b_olte_prioritylayerfirst = pa_q_olte_prioritylayerfirst_product_factor * S ((S (pa_i_olte_prioritylayerfirst_product)) * pa_c_olte_prioritylayerfirst) + (pa_p_olte_prioritylayerfirst_product))) /\ ((((exists pa_h_olte_prioritylayerfirst_product_partial. pa_h_olte_prioritylayerfirst_product_partial + S (pa_r_olte_prioritylayerfirst_product) = S ((S (pa_i_olte_prioritylayerfirst_product)) * pa_v_olte_prioritylayerfirst_product)) /\ exists pa_q_olte_prioritylayerfirst_product_partial. pa_u_olte_prioritylayerfirst_product = pa_q_olte_prioritylayerfirst_product_partial * S ((S (pa_i_olte_prioritylayerfirst_product)) * pa_v_olte_prioritylayerfirst_product) + (pa_r_olte_prioritylayerfirst_product))) /\ ((((exists pa_h_olte_prioritylayerfirst_product_successor. pa_h_olte_prioritylayerfirst_product_successor + S (pa_s_olte_prioritylayerfirst_product) = S ((S (S pa_i_olte_prioritylayerfirst_product)) * pa_v_olte_prioritylayerfirst_product)) /\ exists pa_q_olte_prioritylayerfirst_product_successor. pa_u_olte_prioritylayerfirst_product = pa_q_olte_prioritylayerfirst_product_successor * S ((S (S pa_i_olte_prioritylayerfirst_product)) * pa_v_olte_prioritylayerfirst_product) + (pa_s_olte_prioritylayerfirst_product))) /\ pa_s_olte_prioritylayerfirst_product = pa_r_olte_prioritylayerfirst_product * pa_p_olte_prioritylayerfirst_product)))))))) /\ (((exists pa_b_olte_prioritylayersecond pa_c_olte_prioritylayersecond. ((forall pa_i_olte_prioritylayersecond_repeat. (exists pa_lt_olte_prioritylayersecond_repeat_bound. pa_lt_olte_prioritylayersecond_repeat_bound + S pa_i_olte_prioritylayersecond_repeat = n) -> (((exists pa_h_olte_prioritylayersecond_repeat_decoded. pa_h_olte_prioritylayersecond_repeat_decoded + S (b) = S ((S (pa_i_olte_prioritylayersecond_repeat)) * pa_c_olte_prioritylayersecond)) /\ exists pa_q_olte_prioritylayersecond_repeat_decoded. pa_b_olte_prioritylayersecond = pa_q_olte_prioritylayersecond_repeat_decoded * S ((S (pa_i_olte_prioritylayersecond_repeat)) * pa_c_olte_prioritylayersecond) + (b)))) /\ (exists pa_u_olte_prioritylayersecond_product pa_v_olte_prioritylayersecond_product. ((((exists pa_h_olte_prioritylayersecond_product_start. pa_h_olte_prioritylayersecond_product_start + S (1) = S ((S (0)) * pa_v_olte_prioritylayersecond_product)) /\ exists pa_q_olte_prioritylayersecond_product_start. pa_u_olte_prioritylayersecond_product = pa_q_olte_prioritylayersecond_product_start * S ((S (0)) * pa_v_olte_prioritylayersecond_product) + (1))) /\ ((((exists pa_h_olte_prioritylayersecond_product_terminal. pa_h_olte_prioritylayersecond_product_terminal + S (B) = S ((S (n)) * pa_v_olte_prioritylayersecond_product)) /\ exists pa_q_olte_prioritylayersecond_product_terminal. pa_u_olte_prioritylayersecond_product = pa_q_olte_prioritylayersecond_product_terminal * S ((S (n)) * pa_v_olte_prioritylayersecond_product) + (B))) /\ forall pa_i_olte_prioritylayersecond_product. (exists pa_lt_olte_prioritylayersecond_product_bound. pa_lt_olte_prioritylayersecond_product_bound + S pa_i_olte_prioritylayersecond_product = n) -> exists pa_p_olte_prioritylayersecond_product pa_r_olte_prioritylayersecond_product pa_s_olte_prioritylayersecond_product. ((((exists pa_h_olte_prioritylayersecond_product_factor. pa_h_olte_prioritylayersecond_product_factor + S (pa_p_olte_prioritylayersecond_product) = S ((S (pa_i_olte_prioritylayersecond_product)) * pa_c_olte_prioritylayersecond)) /\ exists pa_q_olte_prioritylayersecond_product_factor. pa_b_olte_prioritylayersecond = pa_q_olte_prioritylayersecond_product_factor * S ((S (pa_i_olte_prioritylayersecond_product)) * pa_c_olte_prioritylayersecond) + (pa_p_olte_prioritylayersecond_product))) /\ ((((exists pa_h_olte_prioritylayersecond_product_partial. pa_h_olte_prioritylayersecond_product_partial + S (pa_r_olte_prioritylayersecond_product) = S ((S (pa_i_olte_prioritylayersecond_product)) * pa_v_olte_prioritylayersecond_product)) /\ exists pa_q_olte_prioritylayersecond_product_partial. pa_u_olte_prioritylayersecond_product = pa_q_olte_prioritylayersecond_product_partial * S ((S (pa_i_olte_prioritylayersecond_product)) * pa_v_olte_prioritylayersecond_product) + (pa_r_olte_prioritylayersecond_product))) /\ ((((exists pa_h_olte_prioritylayersecond_product_successor. pa_h_olte_prioritylayersecond_product_successor + S (pa_s_olte_prioritylayersecond_product) = S ((S (S pa_i_olte_prioritylayersecond_product)) * pa_v_olte_prioritylayersecond_product)) /\ exists pa_q_olte_prioritylayersecond_product_successor. pa_u_olte_prioritylayersecond_product = pa_q_olte_prioritylayersecond_product_successor * S ((S (S pa_i_olte_prioritylayersecond_product)) * pa_v_olte_prioritylayersecond_product) + (pa_s_olte_prioritylayersecond_product))) /\ pa_s_olte_prioritylayersecond_product = pa_r_olte_prioritylayersecond_product * pa_p_olte_prioritylayersecond_product)))))))) /\ ((A) = (B) + (d) * (q)))))))

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