Conservative definition
Parameters: a, e, z
exists ff_b_defined_power ff_c_defined_power. ((forall ff_i_defined_power_repeat. (exists ff_lt_defined_power_repeat_bound. ff_lt_defined_power_repeat_bound + S ff_i_defined_power_repeat = e) -> (((exists ff_h_defined_power_repeat_decoded. ff_h_defined_power_repeat_decoded + S (a) = S ((S (ff_i_defined_power_repeat)) * ff_c_defined_power)) /\ exists ff_q_defined_power_repeat_decoded. ff_b_defined_power = ff_q_defined_power_repeat_decoded * S ((S (ff_i_defined_power_repeat)) * ff_c_defined_power) + (a)))) /\ (exists ff_u_defined_power_product ff_v_defined_power_product. ((((exists ff_h_defined_power_product_start. ff_h_defined_power_product_start + S (1) = S ((S (0)) * ff_v_defined_power_product)) /\ exists ff_q_defined_power_product_start. ff_u_defined_power_product = ff_q_defined_power_product_start * S ((S (0)) * ff_v_defined_power_product) + (1))) /\ ((((exists ff_h_defined_power_product_terminal. ff_h_defined_power_product_terminal + S (z) = S ((S (e)) * ff_v_defined_power_product)) /\ exists ff_q_defined_power_product_terminal. ff_u_defined_power_product = ff_q_defined_power_product_terminal * S ((S (e)) * ff_v_defined_power_product) + (z))) /\ forall ff_i_defined_power_product. (exists ff_lt_defined_power_product_bound. ff_lt_defined_power_product_bound + S ff_i_defined_power_product = e) -> exists ff_p_defined_power_product ff_r_defined_power_product ff_s_defined_power_product. ((((exists ff_h_defined_power_product_factor. ff_h_defined_power_product_factor + S (ff_p_defined_power_product) = S ((S (ff_i_defined_power_product)) * ff_c_defined_power)) /\ exists ff_q_defined_power_product_factor. ff_b_defined_power = ff_q_defined_power_product_factor * S ((S (ff_i_defined_power_product)) * ff_c_defined_power) + (ff_p_defined_power_product))) /\ ((((exists ff_h_defined_power_product_partial. ff_h_defined_power_product_partial + S (ff_r_defined_power_product) = S ((S (ff_i_defined_power_product)) * ff_v_defined_power_product)) /\ exists ff_q_defined_power_product_partial. ff_u_defined_power_product = ff_q_defined_power_product_partial * S ((S (ff_i_defined_power_product)) * ff_v_defined_power_product) + (ff_r_defined_power_product))) /\ ((((exists ff_h_defined_power_product_successor. ff_h_defined_power_product_successor + S (ff_s_defined_power_product) = S ((S (S ff_i_defined_power_product)) * ff_v_defined_power_product)) /\ exists ff_q_defined_power_product_successor. ff_u_defined_power_product = ff_q_defined_power_product_successor * S ((S (S ff_i_defined_power_product)) * ff_v_defined_power_product) + (ff_s_defined_power_product))) /\ ff_s_defined_power_product = ff_r_defined_power_product * ff_p_defined_power_product)))))))Definition prerequisites
Theorem uses (notation, not proof premises)
AP002 · AP004 · AP008 · AP009 · AP010 · AP011 · AP014 · AP015 · AP018 · AP019 · AP020 · AP021 · AP023 · AP024 · AP031 · AP032 · AP033 · AP034 · AP035 · AP036 · AP039 · AP042 · AP043 · AP044 · AP046 · AP047 · AP050 · AP053 · AP054 · AP055 · AP056 · AP057 · AP058 · AP059 · AP061 · AP062 · AP063 · AP064 · AP065 · AP066 · AP067 · AP072 · AP073 · AP074 · AP075 · AP076 · AP077 · AP078 · AP079 · AP080 · AP081 · AP082 · AP083 · AP084 · AP085 · AP086 · AP087 · AP088 · AP089 · AP090 · AP091 · AP092 · AP095 · CV030 · CV031 · CV033 · CV034 · CV036 · CV038 · CV039 · CV040 · CV041 · CV056 · CV057 · CV058 · CV061 · CV062 · CV063 · CV064 · CV065 · CV066 · CV067 · CV070 · CV071 · CV072 · CV073 · CV074 · CV075 · CV076 · CV077 · CV080 · CV081 · CV082 · CV084 · CV085 · CV086 · CV088 · CV089 · CV090 · CV091 · CV093 · CV100 · CV101 · CV102 · QF005 · QH002 · SQ006