% Mizar problem: t32_polyeq_3,polyeq_3,1065,5 
fof(t32_polyeq_3, conjecture,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k4_ordinal1) => k1_newton(A, B)=k2_xcmplx_0(k3_xcmplx_0(k2_power(k9_complex1(A), B), k19_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k3_xcmplx_0(k3_xcmplx_0(k2_power(k9_complex1(A), B), k17_sin_cos(k3_xcmplx_0(B, k1_comptrig(A)))), k7_complex1))) ) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(d1_xcmplx_0, axiom, k1_xcmplx_0=k7_funct_4(k4_ordinal1, k5_numbers, 1, k5_numbers, 1)).
fof(d7_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k6_xcmplx_0(A, B)=k2_xcmplx_0(A, k4_xcmplx_0(B))) ) ) ) ).
fof(dt_k17_sin_cos, axiom, $true).
fof(dt_k19_sin_cos, axiom, $true).
fof(dt_k1_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k1_comptrig(A))) ) ).
fof(dt_k1_newton, axiom, $true).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_xcmplx_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_power, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_power(A, B))) ) ).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_funct_4, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_complex1, axiom, m1_subset_1(k7_complex1, k2_numbers)).
fof(dt_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  =>  (v1_funct_1(k7_funct_4(A, B, C, D, E)) &  (v1_funct_2(k7_funct_4(A, B, C, D, E), k2_tarski(B, C), A) & m1_subset_1(k7_funct_4(A, B, C, D, E), k1_zfmisc_1(k2_zfmisc_1(k2_tarski(B, C), A)))) ) ) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_xcmplx_0, axiom, v1_xcmplx_0(k1_xcmplx_0)).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_newton, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => v1_xreal_0(k1_newton(A, B))) ) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_newton, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v7_ordinal1(B))  => v1_xcmplx_0(k1_newton(A, B))) ) ).
fof(fc3_sin_cos, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k17_sin_cos(A))) ) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_newton, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k1_newton(A, B))) ) ).
fof(fc4_sin_cos, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xreal_0(k19_sin_cos(A))) ) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(ie1_power, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v7_ordinal1(B))  => k2_power(A, B)=k1_newton(A, B)) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) => k1_newton(A, 1)=A) ) ).
fof(rd2_newton, axiom,  (! [A] :  (v7_ordinal1(A) => k1_newton(1, A)=1) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k7_complex1, axiom, k7_complex1=k1_xcmplx_0).
fof(redefinition_k7_funct_4, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(D, A) & m1_subset_1(E, A)) )  => k7_funct_4(A, B, C, D, E)=k6_funct_4(B, C, D, E)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm1r0_r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=0).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r0_cr1r0, axiom, k2_xcmplx_0(k1_xcmplx_0, 0)=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1, axiom, k2_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr1r0_r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=0).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r0_crm1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_rm1_crm1rm1, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealAdd__k2_xcmplx_0__r0_cr1r0_cr1r0, axiom, k2_xcmplx_0(0, k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__r0_crm1r0_crm1r0, axiom, k2_xcmplx_0(0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1, axiom, k2_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1, axiom, k2_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r0_r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r0_cr1r0, axiom, k6_xcmplx_0(k1_xcmplx_0, 0)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k2_xcmplx_0(k1_xcmplx_0, 1))=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r0_cr1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1rm1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k4_xcmplx_0(1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r0_r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r0_crm1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r0_crm1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1rm1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r0_cr1r0_crm1r0, axiom, k6_xcmplx_0(0, k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r0_crm1r0_cr1r0, axiom, k6_xcmplx_0(0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1, axiom, k6_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1, axiom, k3_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r0_r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 1)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=1).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__r0_cr1r0_r0, axiom, k3_xcmplx_0(0, k1_xcmplx_0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0, axiom, k3_xcmplx_0(1, k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r1_cr1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0, axiom, k4_xcmplx_0(k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t31_polyeq_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v7_ordinal1(B) => k1_newton(k2_xcmplx_0(k19_sin_cos(A), k3_xcmplx_0(k17_sin_cos(A), k7_complex1)), B)=k2_xcmplx_0(k19_sin_cos(k3_xcmplx_0(B, A)), k3_xcmplx_0(k17_sin_cos(k3_xcmplx_0(B, A)), k7_complex1))) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t62_comptrig, axiom,  (! [A] :  (v1_xcmplx_0(A) => A=k2_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k19_sin_cos(k1_comptrig(A))), k3_xcmplx_0(k3_xcmplx_0(k9_complex1(A), k17_sin_cos(k1_comptrig(A))), k7_complex1))) ) ).
fof(t7_newton, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) =>  (! [C] :  (v7_ordinal1(C) => k1_newton(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(k1_newton(A, C), k1_newton(B, C))) ) ) ) ) ) ).
