% Mizar problem: t15_arrow,arrow,1021,5 
fof(t15_arrow, conjecture,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(B, k3_arrow(A)), k2_arrow(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k3_arrow(A)), k2_arrow(A))))) )  =>  ~ ( ( (! [D] :  (m2_funct_2(D, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( ( (! [G] :  (m1_subset_1(G, B) =>  ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, G), F, E)) ) )  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), F, E)) ) ) ) ) ) ) )  &  ( (! [D] :  (m2_funct_2(D, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [E] :  (m2_funct_2(E, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (! [H] :  (m1_subset_1(H, B) =>  ( ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, H), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, H), G, F)) )  &  ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, H), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), D, H), G, F)) ) ) ) )  =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, D), G, F)) ) ) ) ) ) ) ) ) ) ) )  &  (r1_xxreal_0(3, k4_card_1(A)) &  (! [D] :  (m1_subset_1(D, B) =>  ~ ( (! [E] :  (m2_funct_2(E, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( ~ ( ( ~ (r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), E, D), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(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_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_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k2_arrow(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(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_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k3_arrow(A)) => v1_relat_1(B)) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(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_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (B=k2_arrow(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_hidden(k4_tarski(D, E), C) | r2_hidden(k4_tarski(E, D), C)) ) ) ) )  &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(E, F), C))  => r2_hidden(k4_tarski(D, F), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(d2_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_arrow(A))) =>  (B=k3_arrow(A) <=>  (! [C] :  (m1_subset_1(C, k2_arrow(A)) =>  (r2_tarski(C, B) <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( (r2_hidden(k4_tarski(D, E), C) & r2_hidden(k4_tarski(E, D), C))  => D=E) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d2_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k1_funct_2(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (? [E] :  ( (v1_relat_1(E) & v1_funct_1(E))  &  (D=E &  (k9_xtuple_0(E)=A & r1_tarski(k10_xtuple_0(E), B)) ) ) ) ) ) ) ) ) ) ).
fof(d2_relset_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (r2_relset_1(A, B, C, D) <=>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, B) =>  (r2_hidden(k4_tarski(E, F), C) <=> r2_hidden(k4_tarski(E, F), D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_arrow, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (! [C] :  (r1_arrow(A, B, C) <=> r2_hidden(k4_tarski(B, C), A)) ) ) ) ) ).
fof(d8_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  (! [D] :  ( (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) <=>  (! [E] :  (m1_subset_1(E, A) => k1_funct_1(C, E)=k1_funct_1(D, E)) ) ) ) ) ) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k1_arrow, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  & m1_subset_1(E, A)) ) ) )  => m2_subset_1(k1_arrow(A, B, C, D, E), B, C)) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
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_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_arrow, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => m1_subset_1(k3_arrow(A), k1_zfmisc_1(k2_arrow(A)))) ) ).
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_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k4_card_1(A), k4_ordinal1)) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(dt_o_1_2_arrow, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  => m2_subset_1(o_1_2_arrow(A), k2_arrow(A), k3_arrow(A))) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
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(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc1_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_arrow(A))) ) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc2_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k3_arrow(A))) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_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_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(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(A)) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
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_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(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(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(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_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_finset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k1_arrow, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ( ~ (v1_xboole_0(C))  & m1_subset_1(C, k1_zfmisc_1(B)))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, C) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, C)))) )  & m1_subset_1(E, A)) ) ) )  => k1_arrow(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
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_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_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_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_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) <=> C=D) ) ) ).
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(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
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(reflexivity_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => r2_relset_1(A, B, C, C)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(s2_relset_1__e1_22_1__arrow, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  & m1_subset_1(B, k2_arrow(A)))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  (r2_hidden(k4_tarski(D, E), C) <=>  (r1_arrow(B, D, E) &  ~ ( (r1_arrow(B, E, D) &  ~ (r1_arrow(o_1_2_arrow(A), D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_funct_2__e2_22_3__arrow, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  & m2_funct_2(C, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A)))) )  =>  ( (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m1_subset_1(E, k3_arrow(A)) &  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (r1_arrow(k3_funct_2(B, k2_arrow(A), C, D), F, G) &  ~ ( (r1_arrow(k3_funct_2(B, k2_arrow(A), C, D), G, F) &  ~ (r1_arrow(o_1_2_arrow(A), F, G)) ) ) )  <=> r1_arrow(E, F, G)) ) ) ) ) ) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, B, k3_arrow(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k3_arrow(A))))) )  &  (! [E] :  (m1_subset_1(E, B) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  ( (r1_arrow(k3_funct_2(B, k2_arrow(A), C, E), H, I) &  ~ ( (r1_arrow(k3_funct_2(B, k2_arrow(A), C, E), I, H) &  ~ (r1_arrow(o_1_2_arrow(A), H, I)) ) ) )  <=> r1_arrow(k3_funct_2(B, k3_arrow(A), D, E), H, I)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(s3_funct_2__e8_22__arrow, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  &  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(B, k3_arrow(A)), k2_arrow(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k3_arrow(A)), k2_arrow(A))))) ) ) )  =>  ( (! [D] :  (m1_subset_1(D, k9_funct_2(B, k2_arrow(A))) =>  (? [E] :  (m1_subset_1(E, k2_arrow(A)) &  (? [F] :  (m2_funct_2(F, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) &  ( (! [G] :  (m1_subset_1(G, B) =>  (! [H] :  (m1_subset_1(H, A) =>  (! [I] :  (m1_subset_1(I, A) =>  ( (r1_arrow(k3_funct_2(B, k2_arrow(A), D, G), H, I) &  ~ ( (r1_arrow(k3_funct_2(B, k2_arrow(A), D, G), I, H) &  ~ (r1_arrow(o_1_2_arrow(A), H, I)) ) ) )  <=> r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), F, G), H, I)) ) ) ) ) ) )  & k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, F)=E) ) ) ) ) ) )  =>  (? [D] :  ( (v1_funct_1(D) &  (v1_funct_2(D, k9_funct_2(B, k2_arrow(A)), k2_arrow(A)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k2_arrow(A)), k2_arrow(A))))) )  &  (! [E] :  (m1_subset_1(E, k9_funct_2(B, k2_arrow(A))) =>  (? [J] :  (m2_funct_2(J, B, k3_arrow(A), k9_funct_2(B, k3_arrow(A))) &  ( (! [K] :  (m1_subset_1(K, B) =>  (! [L] :  (m1_subset_1(L, A) =>  (! [M] :  (m1_subset_1(M, A) =>  ( (r1_arrow(k3_funct_2(B, k2_arrow(A), E, K), L, M) &  ~ ( (r1_arrow(k3_funct_2(B, k2_arrow(A), E, K), M, L) &  ~ (r1_arrow(o_1_2_arrow(A), L, M)) ) ) )  <=> r1_arrow(k1_arrow(B, k2_arrow(A), k3_arrow(A), J, K), L, M)) ) ) ) ) ) )  & k3_funct_2(k9_funct_2(B, k3_arrow(A)), k2_arrow(A), C, J)=k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), D, E)) ) ) ) ) ) ) ) ) ) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
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(symmetry_r2_relset_1, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (r2_relset_1(A, B, C, D) => r2_relset_1(A, B, D, C)) ) ) ).
fof(t13_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m2_subset_1(B, k2_arrow(A), k3_arrow(A)) =>  (! [C] :  (m1_subset_1(C, k2_arrow(A)) =>  ( (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ~ ( ( ~ (r1_arrow(B, E, D))  & r1_arrow(C, E, D)) ) ) ) ) )  <=>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, A) =>  ( ~ ( ( ~ (r1_arrow(B, E, D))  & r1_arrow(C, E, D)) )  &  ~ ( ( ~ (r1_arrow(C, E, D))  & r1_arrow(B, E, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_arrow, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_finset_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  & v1_finset_1(B))  =>  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, k9_funct_2(B, k2_arrow(A)), k2_arrow(A)) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k9_funct_2(B, k2_arrow(A)), k2_arrow(A))))) )  =>  ~ ( ( (! [D] :  (m2_funct_2(D, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [E] :  (m1_subset_1(E, A) =>  (! [F] :  (m1_subset_1(F, A) =>  ~ ( ( (! [G] :  (m1_subset_1(G, B) =>  ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, G), F, E)) ) )  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), F, E)) ) ) ) ) ) ) )  &  ( (! [D] :  (m2_funct_2(D, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [E] :  (m2_funct_2(E, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) =>  (! [F] :  (m1_subset_1(F, A) =>  (! [G] :  (m1_subset_1(G, A) =>  ( (! [H] :  (m1_subset_1(H, B) =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), G, F))  & r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), G, F)) )  &  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), G, F))  & r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), G, F)) )  &  ( ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), F, G))  & r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), F, G)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, H), F, G))  & r1_arrow(k3_funct_2(B, k2_arrow(A), D, H), F, G)) ) ) ) ) ) )  =>  ( ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F)) )  &  ~ ( ( ~ (r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, D), G, F)) ) ) ) ) ) ) ) ) ) ) )  &  (r1_xxreal_0(3, k4_card_1(A)) &  (! [D] :  (m1_subset_1(D, B) =>  (? [E] :  (m2_funct_2(E, B, k2_arrow(A), k9_funct_2(B, k2_arrow(A))) &  (? [F] :  (m1_subset_1(F, A) &  (? [G] :  (m1_subset_1(G, A) &  ( ~ (r1_arrow(k3_funct_2(B, k2_arrow(A), E, D), G, F))  & r1_arrow(k3_funct_2(k9_funct_2(B, k2_arrow(A)), k2_arrow(A), C, E), G, F)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(B, C))  => r1_tarski(A, C)) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, k2_arrow(A)) =>  (r1_arrow(D, B, C) | r1_arrow(D, C, B)) ) ) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(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_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m1_subset_1(D, A) =>  (! [E] :  (m1_subset_1(E, k2_arrow(A)) =>  ~ ( ( ~ ( ( ~ (r1_arrow(E, B, C))  & r1_arrow(E, C, B)) )  &  ( ~ ( ( ~ (r1_arrow(E, C, D))  & r1_arrow(E, D, C)) )  &  ~ (r1_arrow(E, B, D)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_arrow, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  (! [C] :  (m1_subset_1(C, A) =>  (! [D] :  (m2_subset_1(D, k2_arrow(A), k3_arrow(A)) =>  ( (r1_arrow(D, B, C) & r1_arrow(D, C, B))  => B=C) ) ) ) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_funct_2, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  =>  ( (B=k1_xboole_0 => A=k1_xboole_0)  => r2_tarski(C, k1_funct_2(A, B))) ) ) ) ) ).
