% Mizar problem: t23_card_lar,card_lar,778,5 
fof(t23_card_lar, conjecture,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (r2_tarski(k4_ordinal1, k1_card_5(A)) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( (r2_tarski(k1_card_1(B), k1_card_5(A)) &  (! [C] :  (m1_card_lar(C, A, B) =>  (v2_card_lar(C, A) & v1_card_lar(C, A)) ) ) )  =>  (v2_card_lar(k6_setfam_1(A, B), A) & v1_card_lar(k6_setfam_1(A, B), A)) ) ) ) ) ) ) ).
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(asymmetry_r2_xboole_0, axiom,  (! [A, B] :  (r2_xboole_0(A, B) =>  ~ (r2_xboole_0(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(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(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
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_card_2, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  (v4_ordinal1(A) & v1_card_1(A)) ) ) ).
fof(cc1_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_card_5, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc1_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  & v1_card_1(A)) )  =>  (v3_ordinal1(A) & v4_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(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v3_ordinal1(A) &  ~ (v1_finset_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(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(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(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(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(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(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(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_card_fil, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) )  =>  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) & v1_card_5(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(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(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(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(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(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_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, C)=k8_subset_1(A, C, B)) ) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(connectedness_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) | r1_ordinal1(B, A)) ) ) ).
fof(d19_relat_1, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) =>  (v5_relat_1(B, A) <=> r1_tarski(k10_xtuple_0(B), A)) ) ) ) ).
fof(d1_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( ( ~ (B=k1_xboole_0)  =>  (v1_funct_2(C, A, B) <=> A=k1_relset_1(A, C)) )  &  (B=k1_xboole_0 =>  (v1_funct_2(C, A, B) <=> C=k1_xboole_0) ) ) ) ) ) ) ).
fof(d1_setfam_1, axiom,  (! [A] :  (! [B] :  ( ( ~ (A=k1_xboole_0)  =>  (B=k1_setfam_1(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (! [D] :  (r2_tarski(D, A) => r2_hidden(C, D)) ) ) ) ) )  &  (A=k1_xboole_0 =>  (B=k1_setfam_1(A) <=> B=k1_xboole_0) ) ) ) ) ).
fof(d2_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) <=>  (! [B] :  (r2_tarski(B, A) => r1_tarski(B, A)) ) ) ) ).
fof(d3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (B=k10_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] :  (r2_hidden(D, k9_xtuple_0(A)) & C=k1_funct_1(A, D)) ) ) ) ) ) ) ) ).
fof(d3_subset_1, axiom,  (! [A] : k2_subset_1(A)=A) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d8_xboole_0, axiom,  (! [A] :  (! [B] :  (r2_xboole_0(A, B) <=>  (r1_tarski(A, B) &  ~ (A=B) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_card_5, axiom,  (! [A] :  (v1_card_1(A) => v1_card_1(k1_card_5(A))) ) ).
fof(dt_k1_card_lar, axiom,  (! [A, B, C] :  ( ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  &  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_ordinal1(C)) )  => m1_subset_1(k1_card_lar(A, B, C), B)) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_setfam_1, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => m1_subset_1(k2_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k2_subset_1, axiom,  (! [A] : m1_subset_1(k2_subset_1(A), k1_zfmisc_1(A))) ).
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_ordinal2, axiom,  (! [A] : v3_ordinal1(k3_ordinal2(A))) ).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_setfam_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => m1_subset_1(k6_setfam_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => m1_subset_1(k8_nat_1(A, B, C), A)) ) ).
fof(dt_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k8_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_card_lar(C, A, B) => m1_subset_1(C, k1_zfmisc_1(A))) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_2_1_card_lar, axiom,  (! [A, B] :  ( ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A)))) )  => m1_card_lar(o_2_1_card_lar(A, B), A, B)) ) ).
fof(existence_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (? [C] : m1_card_lar(C, A, B)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(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(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_ordinal3, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => v3_ordinal1(k3_xboole_0(A, B))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(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_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_card_5, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v1_card_1(A))  =>  ( ~ (v1_finset_1(k1_card_5(A)))  & v1_card_1(k1_card_5(A))) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fraenkel_a_3_3_card_lar, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_3_card_lar(B, C, D)) <=>  (? [E] :  (m1_card_lar(E, B, C) &  (A=k1_card_lar(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_3_5_card_lar, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  & m1_subset_1(D, B)) )  =>  (r2_hidden(A, a_3_5_card_lar(B, C, D)) <=>  (? [E] :  (m1_subset_1(E, C) &  (A=k1_card_lar(B, E, D) & r2_tarski(E, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_0_card_lar, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_0_card_lar(B, C, D, E)) <=>  (? [F] :  (m1_card_lar(F, B, C) &  (A=k1_card_lar(B, F, k8_nat_1(B, D, E)) & r2_tarski(F, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_1_card_lar, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & m1_subset_1(E, k4_ordinal1)) ) )  =>  (r2_hidden(A, a_4_1_card_lar(B, C, D, E)) <=>  (? [F] :  (m1_card_lar(F, B, C) &  (A=k1_card_lar(B, F, k3_funct_2(k4_ordinal1, B, D, E)) & r2_tarski(F, C)) ) ) ) ) ) ).
fof(fraenkel_a_4_2_card_lar, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v1_finset_1(B))  &  (v1_card_1(B) &  ~ (v4_card_3(B)) ) )  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(k1_zfmisc_1(B))))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  & v7_ordinal1(E)) ) )  =>  (r2_hidden(A, a_4_2_card_lar(B, C, D, E)) <=>  (? [F] :  (m1_card_lar(F, B, C) &  (A=k1_card_lar(B, F, k1_funct_1(D, E)) & r2_tarski(F, C)) ) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, B)=B) ) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=B) ) ).
fof(irreflexivity_r2_xboole_0, axiom,  (! [A, B] :  ~ (r2_xboole_0(A, A)) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(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_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_card_5, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  & v1_card_1(A)) ) ) ) ) ).
fof(rc1_card_lar, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v4_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ( ~ (v4_card_3(A))  & v1_card_5(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_xboole_0, axiom,  (? [A] : v1_xboole_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_card_fil, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v2_card_1(A)) ) ) ) ) ) ) ).
fof(rc2_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (? [B] :  (m1_subset_1(B, A) &  (v1_ordinal1(B) &  (v2_ordinal1(B) &  (v3_ordinal1(B) &  ( ~ (v1_finset_1(B))  & v1_card_1(B)) ) ) ) ) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_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(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_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(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_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(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_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
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_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k2_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  => k2_relset_1(A, B)=k10_xtuple_0(B)) ) ).
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_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_setfam_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) => k6_setfam_1(A, B)=k1_setfam_1(B)) ) ).
fof(redefinition_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => k8_nat_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k8_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k8_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_m1_card_lar, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C] :  (m1_card_lar(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  =>  (r1_ordinal1(A, B) <=> r1_tarski(A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_ordinal1, axiom,  (! [A, B] :  ( (v3_ordinal1(A) & v3_ordinal1(B))  => r1_ordinal1(A, A)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(s2_recdef_1__e6_35_1__card_lar, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  & m1_subset_1(C, A)) )  =>  ( (! [D] :  (v7_ordinal1(D) =>  (! [E] :  (m1_subset_1(E, A) =>  (? [F] :  (m1_subset_1(F, A) &  (F=k3_ordinal2(k9_subset_1(A, a_3_3_card_lar(A, B, E), k2_subset_1(A))) & r2_tarski(E, F)) ) ) ) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k4_ordinal1, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  &  (k3_funct_2(k4_ordinal1, A, D, k5_numbers)=C &  (! [E] :  (v7_ordinal1(E) =>  (k3_funct_2(k4_ordinal1, A, D, k1_nat_1(E, 1))=k3_ordinal2(k9_subset_1(A, a_4_2_card_lar(A, B, D, E), k2_subset_1(A))) & r2_tarski(k1_funct_1(D, E), k3_funct_2(k4_ordinal1, A, D, k1_nat_1(E, 1)))) ) ) ) ) ) ) ) ) ).
fof(s2_trees_2__e2_35_1_2__card_lar, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  &  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  & m1_subset_1(C, A)) )  => r1_ordinal1(k1_card_1(a_3_5_card_lar(A, B, C)), k1_card_1(B))) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(t10_ordinal1, axiom,  (! [A] :  (! [B] :  (! [C] :  (v1_ordinal1(C) =>  ( (r2_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ).
fof(t11_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (r2_xboole_0(A, B) => r2_tarski(A, B)) ) ) ) ) ).
fof(t12_ordinal1, axiom,  (! [A] :  (v1_ordinal1(A) =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (v3_ordinal1(C) =>  ( (r1_tarski(A, B) & r2_tarski(B, C))  => r2_tarski(A, C)) ) ) ) ) ) ) ).
fof(t17_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(k3_xboole_0(A, B), A)) ) ).
fof(t18_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) => k3_ordinal2(A)=A) ) ).
fof(t19_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (r2_tarski(A, B) => r2_tarski(A, k3_ordinal2(B))) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t21_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  ( (! [C] :  (m1_card_lar(C, A, B) => v2_card_lar(C, A)) )  => v2_card_lar(k6_setfam_1(A, B), A)) ) ) ) ) ).
fof(t21_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ~ ( (r2_tarski(A, k3_ordinal2(B)) &  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) & r1_ordinal1(A, C)) ) ) ) ) ) ) ) ) ).
fof(t22_card_lar, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  &  (v1_card_1(A) &  ~ (v4_card_3(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (r2_tarski(k4_ordinal1, k1_card_5(A)) =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) )  => r2_tarski(k3_ordinal2(k10_xtuple_0(C)), A)) ) ) ) ) ) ) ).
fof(t22_ordinal2, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => r1_ordinal1(k3_ordinal2(A), k3_ordinal2(B))) ) ) ).
fof(t26_card_5, axiom,  (! [A] :  (! [B] :  (v1_card_1(B) =>  ( (r1_tarski(A, B) & r2_tarski(k1_card_1(A), k1_card_5(B)))  =>  (r2_tarski(k3_ordinal2(A), B) & r2_tarski(k3_tarski(A), B)) ) ) ) ) ).
fof(t28_xboole_1, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) => k3_xboole_0(A, B)=A) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => r1_tarski(B, k3_ordinal2(B))) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, B) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r2_tarski(C, D)) ) ) ) ) ) ) )  =>  (v1_xboole_0(B) |  (v3_ordinal1(k3_ordinal2(B)) &  (v4_ordinal1(k3_ordinal2(B)) &  ~ (v1_finset_1(k3_ordinal2(B))) ) ) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (r2_hidden(C, A) =>  (B=k1_xboole_0 | r2_tarski(k1_funct_1(D, C), k2_relset_1(B, D))) ) ) ) ) ) ) ).
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(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_card_lar(B, A) <=>  (! [C] :  (v3_ordinal1(C) =>  ~ ( (r2_tarski(C, A) &  (! [D] :  (v3_ordinal1(D) =>  ~ ( (r2_tarski(D, B) & r1_ordinal1(C, D)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ ( (v1_card_lar(B, A) & v1_xboole_0(B)) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t9_card_lar, axiom,  (! [A] :  ( (v3_ordinal1(A) &  (v4_ordinal1(A) &  ~ (v1_finset_1(A)) ) )  =>  (! [B] :  (v3_ordinal1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) =>  ( (v1_card_lar(C, A) & r2_tarski(B, A))  =>  (r2_tarski(k1_card_lar(A, C, B), C) & r2_tarski(B, k1_card_lar(A, C, B))) ) ) ) ) ) ) ) ).
