% Mizar problem: t19_bvfunc_4,bvfunc_4,299,5 
fof(t19_bvfunc_4, conjecture,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r3_bvfunc_2(A, B, C, D) => r1_bvfunc_1(A, k7_bvfunc_2(A, B, C, D), B)) ) ) ) ) ) ) ) ) ).
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(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(A)) ) ).
fof(cc1_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => v7_ordinal1(A)) ) ).
fof(cc2_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => v1_xboolean(A)) ) ).
fof(cc3_margrel1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))) =>  ( (v1_funct_1(B) & v1_funct_2(B, A, k5_margrel1))  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & v1_margrel1(B)) ) ) ) ) ) ).
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(commutativity_k4_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k4_xboolean(A, B)=k4_xboolean(B, A)) ) ).
fof(commutativity_k5_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k5_xboolean(A, B)=k5_xboolean(B, A)) ) ).
fof(d10_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) => k7_bvfunc_2(A, B, C, D)=k17_bvfunc_1(A, B, k5_bvfunc_2(A, D, C))) ) ) ) ) ) ) ) ).
fof(d11_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (B=k12_bvfunc_1(A) <=>  (! [C] :  (m1_subset_1(C, A) => k3_funct_2(A, k5_margrel1, B, C)=k7_margrel1) ) ) ) ) ) ) ).
fof(d12_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r1_bvfunc_1(A, B, C) <=>  (! [D] :  (m1_subset_1(D, A) =>  (k3_funct_2(A, k5_margrel1, B, D)=k7_margrel1 => k3_funct_2(A, k5_margrel1, C, D)=k7_margrel1) ) ) ) ) ) ) ) ) ) ).
fof(d15_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (r2_bvfunc_1(A, B, C) <=>  (! [D] :  (r2_tarski(D, C) =>  (! [E] :  (! [F] :  ( (r2_tarski(E, D) & r2_tarski(F, D))  => k1_funct_1(B, E)=k1_funct_1(B, F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d17_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k17_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) =>  ( ( (? [F] :  (m1_subset_1(F, A) &  (r2_tarski(F, k15_bvfunc_1(A, E, C)) & k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k7_margrel1)  &  ( (! [F] :  (m1_subset_1(F, A) =>  ~ ( (r2_tarski(F, k15_bvfunc_1(A, E, C)) & k3_funct_2(A, k5_margrel1, B, F)=k7_margrel1) ) ) )  => k3_funct_2(A, k5_margrel1, D, E)=k6_margrel1) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d1_xboolean, axiom, k1_xboolean=k5_numbers).
fof(d2_xboolean, axiom, k2_xboolean=1).
fof(d3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) <=>  (A=k1_xboolean | A=k2_xboolean) ) ) ).
fof(d4_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => k3_xboolean(A)=k6_xcmplx_0(1, A)) ) ).
fof(d5_xboolean, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k4_xboolean(A, B)=k3_xcmplx_0(A, B)) ) ) ) ).
fof(d6_eqrel_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_eqrel_1(C, A) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(A)) =>  (D=k12_eqrel_1(A, B, C) <=>  (r2_tarski(B, D) & r2_tarski(D, C)) ) ) ) ) ) ) ) ) ) ).
fof(d6_xboolean, axiom,  (! [A] :  (v1_xboolean(A) =>  (! [B] :  (v1_xboolean(B) => k5_xboolean(A, B)=k3_xboolean(k4_xboolean(k3_xboolean(A), k3_xboolean(B)))) ) ) ) ).
fof(d7_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_eqrel_1(B, A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) => k5_bvfunc_2(A, B, C)=k2_bvfunc_2(A, k7_subset_1(k1_bvfunc_2(A), C, k4_bvfunc_2(A, B)))) ) ) ) ) ) ).
fof(d8_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, k5_margrel1) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (D=k9_bvfunc_1(A, B, C) <=>  (! [E] :  (m1_subset_1(E, A) => k3_funct_2(A, k5_margrel1, D, E)=k5_xboolean(k8_margrel1(k3_funct_2(A, k5_margrel1, B, E)), k3_funct_2(A, k5_margrel1, C, E))) ) ) ) ) ) ) ) ) ) ) ).
fof(d8_bvfunc_2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) =>  (! [D] :  (m1_eqrel_1(D, A) =>  (r3_bvfunc_2(A, B, C, D) <=> r2_bvfunc_1(A, B, k5_bvfunc_2(A, D, C))) ) ) ) ) ) ) ) ) ).
fof(dt_k12_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k12_bvfunc_1(A)) &  (v1_funct_2(k12_bvfunc_1(A), A, k5_margrel1) & m1_subset_1(k12_bvfunc_1(A), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k12_eqrel_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => m1_subset_1(k12_eqrel_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k15_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => m1_bvfunc_1(k15_bvfunc_1(A, B, C), A, C)) ) ).
fof(dt_k17_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  & m1_eqrel_1(C, A)) )  =>  (v1_funct_1(k17_bvfunc_1(A, B, C)) &  (v1_funct_2(k17_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k17_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k1_bvfunc_2, axiom,  (! [A] :  (v1_eqrel_1(k1_bvfunc_2(A), A) & m1_subset_1(k1_bvfunc_2(A), k1_zfmisc_1(k1_zfmisc_1(k9_setfam_1(A))))) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_partit1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboolean, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_bvfunc_2(A))))  => m1_eqrel_1(k2_bvfunc_2(A, B), A)) ) ).
fof(dt_k2_xboolean, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => v1_xboolean(k3_xboolean(A))) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  => m1_subset_1(k4_bvfunc_2(A, B), k1_zfmisc_1(k1_bvfunc_2(A)))) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xboolean, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_bvfunc_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_eqrel_1(B, A) & m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A)))) )  => m1_eqrel_1(k5_bvfunc_2(A, B, C), A)) ) ).
fof(dt_k5_margrel1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_xboolean, axiom, $true).
fof(dt_k6_margrel1, axiom, m1_subset_1(k6_margrel1, k5_margrel1)).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_bvfunc_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_margrel1(B)) ) )  =>  (v1_relat_1(k7_bvfunc_1(A, B)) & v1_funct_1(k7_bvfunc_1(A, B))) ) ) ).
fof(dt_k7_bvfunc_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (m1_subset_1(C, k1_zfmisc_1(k1_bvfunc_2(A))) & m1_eqrel_1(D, A)) ) )  =>  (v1_funct_1(k7_bvfunc_2(A, B, C, D)) &  (v1_funct_2(k7_bvfunc_2(A, B, C, D), A, k5_margrel1) & m1_subset_1(k7_bvfunc_2(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k7_margrel1, axiom, m1_subset_1(k7_margrel1, k5_margrel1)).
fof(dt_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => m1_subset_1(k8_margrel1(A), k5_margrel1)) ) ).
fof(dt_k9_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  =>  (v1_funct_1(k9_bvfunc_1(A, B, C)) &  (v1_funct_2(k9_bvfunc_1(A, B, C), A, k5_margrel1) & m1_subset_1(k9_bvfunc_1(A, B, C), k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) ) ).
fof(dt_k9_setfam_1, axiom,  (! [A] : m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(A)))) ).
fof(dt_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_bvfunc_1(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(dt_m1_eqrel_1, axiom,  (! [A] :  (! [B] :  (m1_eqrel_1(B, A) => m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (? [C] : m1_bvfunc_1(C, A, B)) ) ) ).
fof(existence_m1_eqrel_1, axiom,  (! [A] :  (? [B] : m1_eqrel_1(B, A)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc1_xboolean, axiom, v1_xboolean(k1_xboolean)).
fof(fc2_margrel1, axiom,  ~ (v1_xboole_0(k5_margrel1)) ).
fof(fc2_xboolean, axiom, v1_xboolean(k2_xboolean)).
fof(fc3_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => v1_xboolean(k4_xboolean(A, B))) ) ).
fof(fc4_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => v1_xboolean(k1_funct_1(A, B))) ) ).
fof(fc4_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => v1_xboolean(k5_xboolean(A, B))) ) ).
fof(idempotence_k4_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k4_xboolean(A, A)=A) ) ).
fof(idempotence_k5_xboolean, axiom,  (! [A, B] :  ( (v1_xboolean(A) & v1_xboolean(B))  => k5_xboolean(A, A)=A) ) ).
fof(involutiveness_k3_xboolean, axiom,  (! [A] :  (v1_xboolean(A) => k3_xboolean(k3_xboolean(A))=A) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(involutiveness_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(k8_margrel1(A))=A) ) ).
fof(rc1_xboolean, axiom,  (? [A] : v1_xboolean(A)) ).
fof(rc2_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) ) ) ).
fof(redefinition_k15_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_eqrel_1(C, A)) )  => k15_bvfunc_1(A, B, C)=k12_eqrel_1(A, B, C)) ) ).
fof(redefinition_k1_bvfunc_2, axiom,  (! [A] : k1_bvfunc_2(A)=k1_partit1(A)) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k4_bvfunc_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  => k4_bvfunc_2(A, B)=k1_tarski(B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_margrel1, axiom, k6_margrel1=k1_xboolean).
fof(redefinition_k7_margrel1, axiom, k7_margrel1=k2_xboolean).
fof(redefinition_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=k4_xboole_0(B, C)) ) ).
fof(redefinition_k8_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => k8_margrel1(A)=k3_xboolean(A)) ) ).
fof(redefinition_k9_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => k9_bvfunc_1(A, B, C)=k7_bvfunc_1(B, C)) ) ).
fof(redefinition_k9_setfam_1, axiom,  (! [A] : k9_setfam_1(A)=k1_zfmisc_1(A)) ).
fof(redefinition_m1_bvfunc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_eqrel_1(B, A))  =>  (! [C] :  (m1_bvfunc_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) <=> C=D) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_bvfunc_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) ) ) )  => r1_bvfunc_1(A, B, B)) ) ).
fof(reflexivity_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  => r2_funct_2(A, B, C, C)) ) ).
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_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
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__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=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(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=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_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
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__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=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__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
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(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
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(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
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(symmetry_r2_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (r2_funct_2(A, B, C, D) => r2_funct_2(A, B, D, C)) ) ) ).
fof(t16_bvfunc_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, k5_margrel1) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1)))) )  =>  (r2_funct_2(A, k5_margrel1, k9_bvfunc_1(A, B, C), k12_bvfunc_1(A)) <=> r1_bvfunc_1(A, B, C)) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
