% Mizar problem: t16_c0sp2,c0sp2,928,5 
fof(t16_c0sp2, conjecture,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v1_compts_1(B) & l1_pre_topc(B)) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k5_c0sp2(B))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k5_c0sp2(B))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(B), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(B), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) )  =>  ( (E=C & F=D)  =>  (D=k1_rlvect_1(k5_c0sp2(B), C, A) <=>  (! [G] :  (m1_subset_1(G, u1_struct_0(B)) => k3_funct_2(u1_struct_0(B), k1_numbers, F, G)=k3_xcmplx_0(A, k3_funct_2(u1_struct_0(B), k1_numbers, E, G))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_funcsdom, axiom,  (! [A] :  (l1_funcsdom(A) =>  (v1_funcsdom(A) => A=g1_funcsdom(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A))) ) ) ).
fof(abstractness_v1_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  (v1_lopban_2(A) => A=g1_lopban_2(u1_struct_0(A), u2_algstr_0(A), u1_algstr_0(A), u1_rlvect_1(A), u3_struct_0(A), u2_struct_0(A), u1_normsp_0(A))) ) ) ).
fof(abstractness_v1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v1_pre_topc(A) => A=g1_pre_topc(u1_struct_0(A), u1_pre_topc(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(cc10_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) => v4_funct_1(C)) ) ) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
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(cc10_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_xxreal_2(A))  =>  (v3_membered(A) & v3_xxreal_2(A)) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(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(cc11_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v2_xxreal_2(A))  =>  (v3_membered(A) & v4_xxreal_2(A)) ) ) ).
fof(cc12_algstr_0, axiom,  (! [A] :  ( (v13_algstr_0(A) & l2_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => v10_algstr_0(B, A)) ) ) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
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(cc12_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) & v5_xxreal_2(A))  =>  (v5_membered(A) & v1_finset_1(A)) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(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(cc13_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) & v4_xxreal_2(A))  =>  (v6_membered(A) &  (v1_finset_1(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(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(cc14_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) & v3_membered(A)) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(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(cc15_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xboole_0(A))  =>  (v2_membered(A) & v6_xxreal_2(A)) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc16_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v1_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc17_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v2_xxreal_2(A))  =>  (v2_membered(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_c0sp1(B, A) =>  (v1_ideal_1(B, A) & v1_c0sp1(B, A)) ) ) ) ) ) ).
fof(cc1_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_compts_1(B, A)) ) ) ) ) ).
fof(cc1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_partfun1(C, A) => v1_funct_2(C, A, B)) ) ) ) ).
fof(cc1_jordan5a, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_finset_1(A) => v1_rcomp_1(A)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v2_pre_topc(B)) ) ) ) ).
fof(cc1_pscomp_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_compts_1(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v2_pscomp_1(A)) ) ) ) ) ).
fof(cc1_rcomp_1, axiom,  (! [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) =>  (v1_rcomp_1(A) => v2_rcomp_1(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_vectsp_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v6_vectsp_1(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v4_vectsp_1(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(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
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_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l6_algstr_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  ( (v1_ideal_1(B, A) & v1_c0sp1(B, A))  => v2_c0sp1(B, A)) ) ) ) ) ).
fof(cc2_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v8_pre_topc(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v2_compts_1(B, A) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc2_funct_2, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v4_pre_topc(B, A)) ) ) ) ) ).
fof(cc2_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v2_pscomp_1(A) & l1_pre_topc(A)) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) =>  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) & v1_pscomp_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v5_measure6(B, u1_struct_0(A)) &  (v6_measure6(B, u1_struct_0(A)) & v1_comseq_2(B)) ) ) ) ) ) ) ) ) ).
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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(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_vectsp_2, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v5_group_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v4_vectsp_1(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(cc2_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) )  =>  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(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_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v4_c0sp1(B, A) => v2_c0sp1(B, A)) ) ) ) ) ).
fof(cc3_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  ( (v8_struct_0(A) & v2_pre_topc(A))  =>  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(cc3_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_vectsp_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v6_vectsp_1(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(cc3_xxreal_2, axiom,  (! [A] :  ( (v6_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_finset_1(B) => v2_compts_1(B, A)) ) ) ) ) ).
fof(cc4_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_funct_2(B, A, A) => v1_partfun1(B, A)) ) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_vectsp_1(A) & v6_vectsp_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v1_group_1(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(cc4_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) & v5_xxreal_2(A))  =>  (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) ) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v8_pre_topc(A)) ) ) ).
fof(cc5_funct_2, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) =>  (v1_funct_2(B, k2_zfmisc_1(A, A), A) => v1_partfun1(B, k2_zfmisc_1(A, A))) ) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(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_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  & v4_vectsp_1(A))  =>  ( ~ (v2_struct_0(A))  & v1_group_1(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(cc5_xxreal_2, axiom,  (! [A] :  ( (v2_membered(A) &  (v3_xxreal_2(A) & v4_xxreal_2(A)) )  =>  (v2_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc6_compts_1, axiom,  (! [A] :  ( (v8_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_pre_topc(B, A) => v8_pre_topc(B)) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(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_vectsp_1, axiom,  (! [A] :  (l4_algstr_0(A) =>  ( ( ~ (v2_struct_0(A))  &  (v5_group_1(A) & v6_vectsp_1(A)) )  =>  ( ~ (v2_struct_0(A))  & v3_vectsp_1(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(cc6_xxreal_2, axiom,  (! [A] :  ( (v3_membered(A) & v1_finset_1(A))  =>  (v3_membered(A) & v5_xxreal_2(A)) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v7_pre_topc(A) => v6_pre_topc(A)) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(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(cc7_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v4_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v2_xxreal_2(A)) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v8_pre_topc(A) => v7_pre_topc(A)) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
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(cc8_xxreal_2, axiom,  (! [A] :  ( (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v3_xxreal_2(A)) )  =>  (v5_membered(A) &  ( ~ (v1_xboole_0(A))  & v1_xxreal_2(A)) ) ) ) ).
fof(cc9_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (! [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_xboole_0(C))  & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (v2_struct_0(A) => v6_pre_topc(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc9_xxreal_2, axiom,  (! [A] :  (v6_membered(A) =>  (v6_membered(A) & v3_xxreal_2(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(d13_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k6_c0sp1(A)=a_1_0_c0sp1(A)) ) ).
fof(d1_binop_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (! [C] : k1_binop_1(A, B, C)=k1_funct_1(A, k4_tarski(B, C))) ) ) ) ).
fof(d1_rlvect_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (v1_xreal_0(C) => k1_rlvect_1(A, B, C)=k1_binop_1(u1_rlvect_1(A), C, B)) ) ) ) ) ) ).
fof(d2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k2_c0sp2(A)=a_1_0_c0sp2(A)) ) ).
fof(d3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => k3_c0sp2(A)=g1_funcsdom(k2_c0sp2(A), k2_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k1_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k5_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k3_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)))) ) ).
fof(d4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k4_c0sp2(A)=k2_partfun1(k6_c0sp1(u1_struct_0(A)), k1_numbers, k10_c0sp1(u1_struct_0(A)), k2_c0sp2(A))) ) ).
fof(d4_funcsdom, axiom,  (! [A] : k8_funcsdom(A)=k7_funcop_1(A, k5_numbers)) ).
fof(d5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => k5_c0sp2(A)=g1_lopban_2(k2_c0sp2(A), k2_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k1_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k5_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k3_c0sp1(k12_funcsdom(u1_struct_0(A)), k2_c0sp2(A)), k4_c0sp2(A))) ) ).
fof(d5_funcsdom, axiom,  (! [A] : k9_funcsdom(A)=k7_funcop_1(A, 1)) ).
fof(d8_funcsdom, axiom,  (! [A] : k12_funcsdom(A)=g1_funcsdom(k9_funct_2(A, k1_numbers), k6_funcsdom(A), k5_funcsdom(A), k7_funcsdom(A), k9_funcsdom(A), k8_funcsdom(A))) ).
fof(dt_g1_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (v1_funcsdom(g1_funcsdom(A, B, C, D, E, F)) & l1_funcsdom(g1_funcsdom(A, B, C, D, E, F))) ) ) ).
fof(dt_g1_lopban_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (v1_lopban_2(g1_lopban_2(A, B, C, D, E, F, G)) & l1_lopban_2(g1_lopban_2(A, B, C, D, E, F, G))) ) ) ).
fof(dt_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (v1_pre_topc(g1_pre_topc(A, B)) & l1_pre_topc(g1_pre_topc(A, B))) ) ) ).
fof(dt_k10_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k10_c0sp1(A)) &  (v1_funct_2(k10_c0sp1(A), k6_c0sp1(A), k1_numbers) & m1_subset_1(k10_c0sp1(A), k1_zfmisc_1(k2_zfmisc_1(k6_c0sp1(A), k1_numbers)))) ) ) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k12_funcsdom, axiom,  (! [A] :  (v1_funcsdom(k12_funcsdom(A)) & l1_funcsdom(k12_funcsdom(A))) ) ).
fof(dt_k1_binop_1, axiom, $true).
fof(dt_k1_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k1_c0sp1(A, B)) &  (v1_funct_2(k1_c0sp1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k1_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & m1_pre_topc(k1_pre_topc(A, B), A)) ) ) ).
fof(dt_k1_rlvect_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  & l1_rlvect_1(A))  &  (m1_subset_1(B, u1_struct_0(A)) & v1_xreal_0(C)) )  => m1_subset_1(k1_rlvect_1(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k2_c0sp1(A, B)) &  (v1_funct_2(k2_c0sp1(A, B), k2_zfmisc_1(B, B), B) & m1_subset_1(k2_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(B, B), B)))) ) ) ) ).
fof(dt_k2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => m1_subset_1(k2_c0sp2(A), k1_zfmisc_1(u1_struct_0(k12_funcsdom(u1_struct_0(A)))))) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  =>  (v1_funct_1(k2_partfun1(A, B, C, D)) & m1_subset_1(k2_partfun1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) & l6_algstr_0(A)) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k3_c0sp1(A, B), B)) ) ).
fof(dt_k3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  => l1_funcsdom(k3_c0sp2(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_k3_numbers, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l5_algstr_0(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_c0sp1(A, B), B)) ) ).
fof(dt_k4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v1_funct_1(k4_c0sp2(A)) &  (v1_funct_2(k4_c0sp2(A), k2_c0sp2(A), k1_numbers) & m1_subset_1(k4_c0sp2(A), k1_zfmisc_1(k2_zfmisc_1(k2_c0sp2(A), k1_numbers)))) ) ) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k5_c0sp1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v2_funcsdom(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v3_group_1(A) &  (v5_group_1(A) & l1_funcsdom(A)) ) ) ) ) ) ) ) ) ) ) ) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_funct_1(k5_c0sp1(A, B)) &  (v1_funct_2(k5_c0sp1(A, B), k2_zfmisc_1(k1_numbers, B), B) & m1_subset_1(k5_c0sp1(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, B), B)))) ) ) ) ).
fof(dt_k5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => l1_lopban_2(k5_c0sp2(A))) ) ).
fof(dt_k5_funcsdom, axiom,  (! [A] :  (v1_funct_1(k5_funcsdom(A)) &  (v1_funct_2(k5_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k5_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k6_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k6_c0sp1(A)))  & m1_subset_1(k6_c0sp1(A), k1_zfmisc_1(u1_struct_0(k12_funcsdom(A))))) ) ) ).
fof(dt_k6_funcsdom, axiom,  (! [A] :  (v1_funct_1(k6_funcsdom(A)) &  (v1_funct_2(k6_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k6_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_funcsdom, axiom,  (! [A] :  (v1_funct_1(k7_funcsdom(A)) &  (v1_funct_2(k7_funcsdom(A), k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & m1_subset_1(k7_funcsdom(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers))))) ) ) ).
fof(dt_k8_funcsdom, axiom,  (! [A] : m2_funct_2(k8_funcsdom(A), A, k1_numbers, k9_funct_2(A, k1_numbers))) ).
fof(dt_k9_funcsdom, axiom,  (! [A] : m2_funct_2(k9_funcsdom(A), A, k1_numbers, k9_funct_2(A, k1_numbers))) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_l1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_funcsdom, axiom,  (! [A] :  (l1_funcsdom(A) =>  (l6_algstr_0(A) & l1_rlvect_1(A)) ) ) ).
fof(dt_l1_lopban_2, axiom,  (! [A] :  (l1_lopban_2(A) =>  (l1_funcsdom(A) & l1_normsp_1(A)) ) ) ).
fof(dt_l1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) => l1_struct_0(A)) ) ).
fof(dt_l1_normsp_1, axiom,  (! [A] :  (l1_normsp_1(A) =>  (l1_rlvect_1(A) & l2_normsp_0(A)) ) ) ).
fof(dt_l1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(dt_l1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) => l2_algstr_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_algstr_0, axiom,  (! [A] :  (l2_algstr_0(A) =>  (l2_struct_0(A) & l1_algstr_0(A)) ) ) ).
fof(dt_l2_normsp_0, axiom,  (! [A] :  (l2_normsp_0(A) =>  (l1_normsp_0(A) & l2_struct_0(A)) ) ) ).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l4_algstr_0, axiom,  (! [A] :  (l4_algstr_0(A) =>  (l3_struct_0(A) & l3_algstr_0(A)) ) ) ).
fof(dt_l4_struct_0, axiom,  (! [A] :  (l4_struct_0(A) =>  (l2_struct_0(A) & l3_struct_0(A)) ) ) ).
fof(dt_l5_algstr_0, axiom,  (! [A] :  (l5_algstr_0(A) =>  (l4_algstr_0(A) & l4_struct_0(A)) ) ) ).
fof(dt_l6_algstr_0, axiom,  (! [A] :  (l6_algstr_0(A) =>  (l2_algstr_0(A) & l5_algstr_0(A)) ) ) ).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_pre_topc(B, A) => l1_pre_topc(B)) ) ) ) ).
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_u1_algstr_0, axiom,  (! [A] :  (l1_algstr_0(A) =>  (v1_funct_1(u1_algstr_0(A)) &  (v1_funct_2(u1_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_normsp_0, axiom,  (! [A] :  (l1_normsp_0(A) =>  (v1_funct_1(u1_normsp_0(A)) &  (v1_funct_2(u1_normsp_0(A), u1_struct_0(A), k1_numbers) & m1_subset_1(u1_normsp_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) ) ) ).
fof(dt_u1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => m1_subset_1(u1_pre_topc(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ).
fof(dt_u1_rlvect_1, axiom,  (! [A] :  (l1_rlvect_1(A) =>  (v1_funct_1(u1_rlvect_1(A)) &  (v1_funct_2(u1_rlvect_1(A), k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u1_rlvect_1(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_algstr_0, axiom,  (! [A] :  (l3_algstr_0(A) =>  (v1_funct_1(u2_algstr_0(A)) &  (v1_funct_2(u2_algstr_0(A), k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A)) & m1_subset_1(u2_algstr_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A)), u1_struct_0(A))))) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_u3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(u3_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_algstr_0, axiom,  (? [A] : l1_algstr_0(A)) ).
fof(existence_l1_funcsdom, axiom,  (? [A] : l1_funcsdom(A)) ).
fof(existence_l1_lopban_2, axiom,  (? [A] : l1_lopban_2(A)) ).
fof(existence_l1_normsp_0, axiom,  (? [A] : l1_normsp_0(A)) ).
fof(existence_l1_normsp_1, axiom,  (? [A] : l1_normsp_1(A)) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(existence_l1_rlvect_1, axiom,  (? [A] : l1_rlvect_1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_algstr_0, axiom,  (? [A] : l2_algstr_0(A)) ).
fof(existence_l2_normsp_0, axiom,  (? [A] : l2_normsp_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_l3_algstr_0, axiom,  (? [A] : l3_algstr_0(A)) ).
fof(existence_l3_struct_0, axiom,  (? [A] : l3_struct_0(A)) ).
fof(existence_l4_algstr_0, axiom,  (? [A] : l4_algstr_0(A)) ).
fof(existence_l4_struct_0, axiom,  (? [A] : l4_struct_0(A)) ).
fof(existence_l5_algstr_0, axiom,  (? [A] : l5_algstr_0(A)) ).
fof(existence_l6_algstr_0, axiom,  (? [A] : l6_algstr_0(A)) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] : m1_pre_topc(B, A)) ) ) ).
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(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc10_funct_2, axiom,  (! [A, B] : v4_funct_1(k1_funct_2(A, B))) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_xxreal_2, axiom,  ( ~ (v3_xxreal_2(k1_numbers))  &  ~ (v4_xxreal_2(k1_numbers)) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc12_xxreal_2, axiom, v6_xxreal_2(k6_numbers)).
fof(fc17_xxreal_2, axiom, v6_xxreal_2(k1_numbers)).
fof(fc1_funcsdom, axiom,  (! [A] :  (v1_funct_1(k5_funcsdom(A)) &  (v1_funct_2(k5_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k5_funcsdom(A))) ) ) ).
fof(fc1_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k1_funct_2(A, B))) ) ) ).
fof(fc1_membered, axiom, v1_membered(k2_numbers)).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  ~ (v1_xboole_0(u1_pre_topc(A))) ) ) ).
fof(fc1_pscomp_1, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_pscomp_1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) ) )  & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v1_funct_1(k5_relat_1(B, C)) &  (v1_funct_2(k5_relat_1(B, C), u1_struct_0(k1_pre_topc(A, C)), k1_numbers) & v1_pscomp_1(k5_relat_1(B, C), k1_pre_topc(A, C))) ) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
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_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v13_algstr_0(k12_funcsdom(A)) &  (v2_rlvect_1(k12_funcsdom(A)) &  (v3_rlvect_1(k12_funcsdom(A)) &  (v4_rlvect_1(k12_funcsdom(A)) &  (v5_rlvect_1(k12_funcsdom(A)) &  (v6_rlvect_1(k12_funcsdom(A)) &  (v7_rlvect_1(k12_funcsdom(A)) &  (v1_funcsdom(k12_funcsdom(A)) &  (v2_funcsdom(k12_funcsdom(A)) &  (v1_vectsp_1(k12_funcsdom(A)) &  (v3_vectsp_1(k12_funcsdom(A)) &  (v3_group_1(k12_funcsdom(A)) & v5_group_1(k12_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc2_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ~ (v1_xboole_0(k2_c0sp2(A))) ) ) ).
fof(fc2_funcsdom, axiom,  (! [A] :  (v1_funct_1(k6_funcsdom(A)) &  (v1_funct_2(k6_funcsdom(A), k2_zfmisc_1(k9_funct_2(A, k1_numbers), k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k6_funcsdom(A))) ) ) ).
fof(fc2_funct_2, axiom,  (! [A] :  ~ (v1_xboole_0(k1_funct_2(A, A))) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_pre_topc, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ( ~ (v2_struct_0(k1_pre_topc(A, B)))  & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(fc2_pscomp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v2_compts_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) ) )  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v1_compts_1(k1_pre_topc(A, B))) ) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc3_c0sp1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k6_c0sp1(A)))  &  (v3_c0sp1(k6_c0sp1(A), k12_funcsdom(A)) & v4_c0sp1(k6_c0sp1(A), k12_funcsdom(A))) ) ) ) ).
fof(fc3_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v3_c0sp1(k2_c0sp2(A), k12_funcsdom(u1_struct_0(A))) & v4_c0sp1(k2_c0sp2(A), k12_funcsdom(u1_struct_0(A)))) ) ) ).
fof(fc3_funcsdom, axiom,  (! [A] :  (v1_funct_1(k7_funcsdom(A)) &  (v1_funct_2(k7_funcsdom(A), k2_zfmisc_1(k1_numbers, k9_funct_2(A, k1_numbers)), k9_funct_2(A, k1_numbers)) & v9_valued_2(k7_funcsdom(A))) ) ) ).
fof(fc3_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_2(A, B))) ) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc3_numbers, axiom,  ~ (v1_xboole_0(k3_numbers)) ).
fof(fc3_pre_topc, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  =>  (v1_pre_topc(k1_pre_topc(A, B)) & v2_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  ( ~ (v2_struct_0(k3_c0sp2(A)))  & v1_funcsdom(k3_c0sp2(A))) ) ) ).
fof(fc4_membered, axiom, v4_membered(k3_numbers)).
fof(fc4_numbers, axiom,  ~ (v1_xboole_0(k4_numbers)) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc55_membered, axiom, v7_membered(k2_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc57_membered, axiom, v7_membered(k3_numbers)).
fof(fc58_membered, axiom, v7_membered(k4_numbers)).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc5_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (v13_algstr_0(k3_c0sp2(A)) &  (v2_rlvect_1(k3_c0sp2(A)) &  (v3_rlvect_1(k3_c0sp2(A)) &  (v4_rlvect_1(k3_c0sp2(A)) &  (v5_rlvect_1(k3_c0sp2(A)) &  (v6_rlvect_1(k3_c0sp2(A)) &  (v7_rlvect_1(k3_c0sp2(A)) &  (v8_rlvect_1(k3_c0sp2(A)) &  (v1_vectsp_1(k3_c0sp2(A)) &  (v3_vectsp_1(k3_c0sp2(A)) &  (v3_group_1(k3_c0sp2(A)) &  (v5_group_1(k3_c0sp2(A)) & v2_funcsdom(k3_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc5_compts_1, axiom,  (! [A] :  (l1_pre_topc(A) => v1_tops_2(u1_pre_topc(A), A)) ) ).
fof(fc5_membered, axiom, v5_membered(k4_numbers)).
fof(fc5_numbers, axiom,  ~ (v1_xboole_0(k6_numbers)) ).
fof(fc5_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc67_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc68_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc69_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc6_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  ( ~ (v2_struct_0(k5_c0sp2(A)))  & v1_lopban_2(k5_c0sp2(A))) ) ) ).
fof(fc6_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k12_funcsdom(A)))  & v1_funcsdom(k12_funcsdom(A))) ) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_numbers, axiom,  ~ (v1_finset_1(k4_numbers)) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))) & v2_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_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(fc70_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc71_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc72_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc7_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  => v1_group_1(k5_c0sp2(A))) ) ).
fof(fc7_funcsdom, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_group_1(k12_funcsdom(A)) & v1_funcsdom(k12_funcsdom(A))) ) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_numbers, axiom,  ~ (v1_finset_1(k3_numbers)) ).
fof(fc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  ( ~ (v2_struct_0(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A))))  & v1_pre_topc(g1_pre_topc(u1_struct_0(A), u1_pre_topc(A)))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v13_algstr_0(k5_c0sp2(A)) &  (v2_rlvect_1(k5_c0sp2(A)) &  (v3_rlvect_1(k5_c0sp2(A)) &  (v4_rlvect_1(k5_c0sp2(A)) &  (v5_rlvect_1(k5_c0sp2(A)) &  (v6_rlvect_1(k5_c0sp2(A)) &  (v7_rlvect_1(k5_c0sp2(A)) &  (v1_vectsp_1(k5_c0sp2(A)) &  (v3_vectsp_1(k5_c0sp2(A)) &  (v3_group_1(k5_c0sp2(A)) &  (v5_group_1(k5_c0sp2(A)) & v2_funcsdom(k5_c0sp2(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc8_funcsdom, axiom,  (! [A] :  ( ~ (v2_struct_0(k12_funcsdom(A)))  & v1_funcsdom(k12_funcsdom(A))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_pre_topc, axiom,  (! [A, B] :  ( (l1_pre_topc(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  (v2_struct_0(k1_pre_topc(A, B)) & v1_pre_topc(k1_pre_topc(A, B))) ) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc9_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) &  (v1_compts_1(A) & l1_pre_topc(A)) ) )  =>  (v5_rlvect_1(k5_c0sp2(A)) &  (v6_rlvect_1(k5_c0sp2(A)) &  (v7_rlvect_1(k5_c0sp2(A)) & v8_rlvect_1(k5_c0sp2(A))) ) ) ) ) ).
fof(fc9_funcsdom, axiom,  (! [A] :  (v13_algstr_0(k12_funcsdom(A)) &  (v1_vectsp_1(k12_funcsdom(A)) &  (v3_vectsp_1(k12_funcsdom(A)) &  (v2_rlvect_1(k12_funcsdom(A)) &  (v3_rlvect_1(k12_funcsdom(A)) &  (v4_rlvect_1(k12_funcsdom(A)) &  (v5_rlvect_1(k12_funcsdom(A)) &  (v6_rlvect_1(k12_funcsdom(A)) &  (v7_rlvect_1(k12_funcsdom(A)) &  (v3_group_1(k12_funcsdom(A)) &  (v5_group_1(k12_funcsdom(A)) &  (v1_funcsdom(k12_funcsdom(A)) & v2_funcsdom(k12_funcsdom(A))) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_pre_topc, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))))  =>  ( ~ (v2_struct_0(g1_pre_topc(A, B)))  & v1_pre_topc(g1_pre_topc(A, B))) ) ) ).
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(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fraenkel_a_1_0_c0sp1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (r2_hidden(A, a_1_0_c0sp1(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, B, k1_numbers) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, k1_numbers)))) )  &  (A=C & v1_comseq_2(k2_partfun1(B, k1_numbers, C, B))) ) ) ) ) ) ).
fof(fraenkel_a_1_0_c0sp2, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) & l1_pre_topc(B)) )  =>  (r2_hidden(A, a_1_0_c0sp2(B)) <=>  (? [C] :  ( (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v1_pscomp_1(C, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers)))) ) )  & A=C) ) ) ) ) ).
fof(free_g1_funcsdom, axiom,  (! [A, B, C, D, E, F] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) )  =>  (! [G, H, I, J, K, L] :  (g1_funcsdom(A, B, C, D, E, F)=g1_funcsdom(G, H, I, J, K, L) =>  (A=G &  (B=H &  (C=I &  (D=J &  (E=K & F=L) ) ) ) ) ) ) ) ) ).
fof(free_g1_lopban_2, axiom,  (! [A, B, C, D, E, F, G] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(C) &  (v1_funct_2(C, k2_zfmisc_1(A, A), A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  &  ( (v1_funct_1(D) &  (v1_funct_2(D, k2_zfmisc_1(k1_numbers, A), A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k1_numbers, A), A)))) )  &  (m1_subset_1(E, A) &  (m1_subset_1(F, A) &  (v1_funct_1(G) &  (v1_funct_2(G, A, k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(A, k1_numbers)))) ) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_lopban_2(A, B, C, D, E, F, G)=g1_lopban_2(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(free_g1_pre_topc, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(A))) =>  (! [C, D] :  (g1_pre_topc(A, B)=g1_pre_topc(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc11_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) & v1_pre_topc(A)) ) ) ).
fof(rc11_vectsp_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v4_vectsp_1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc12_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  (v2_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_c0sp1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l2_algstr_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  &  (v1_ideal_1(B, A) & v1_c0sp1(B, A)) ) ) ) ) ) ).
fof(rc1_compts_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v8_pre_topc(A)) ) ) ) ).
fof(rc1_funct_2, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) & v1_pre_topc(A)) ) ).
fof(rc1_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_comseq_2(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc1_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v2_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc20_struct_0, axiom,  (? [A] :  (l2_struct_0(A) &  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc2_compts_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v8_struct_0(A) &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ) ).
fof(rc2_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) & v1_funcsdom(A)) ) ).
fof(rc2_jordan5a, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  &  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v1_finset_1(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ).
fof(rc2_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) & v1_lopban_2(A)) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v1_pre_topc(A) & v2_pre_topc(A)) ) ) ) ).
fof(rc2_pscomp_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(A)) &  (v5_relat_1(B, k1_numbers) &  (v1_funct_1(B) &  (v1_partfun1(B, u1_struct_0(A)) &  (v1_funct_2(B, u1_struct_0(A), k1_numbers) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) & v1_pscomp_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_vectsp_1, axiom,  (? [A] :  (l5_algstr_0(A) &  ( ~ (v2_struct_0(A))  & v4_vectsp_1(A)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_xxreal_2, axiom,  (? [A] :  (v6_membered(A) &  (v1_finset_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ).
fof(rc3_compts_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v2_compts_1(B, A)) ) ) ) ) ).
fof(rc3_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc3_lopban_2, axiom,  (? [A] :  (l1_lopban_2(A) &  ~ (v2_struct_0(A)) ) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_pre_topc(B, A) & v1_pre_topc(B)) ) ) ) ).
fof(rc3_pscomp_1, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  &  ( ~ (v2_struct_0(B))  & m1_pre_topc(B, A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), k1_numbers))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v5_relat_1(C, k1_numbers) &  (v1_funct_1(C) &  (v1_partfun1(C, u1_struct_0(B)) &  (v1_funct_2(C, u1_struct_0(B), k1_numbers) &  (v1_valued_0(C) &  (v2_valued_0(C) &  (v3_valued_0(C) & v1_pscomp_1(C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) ) ) ).
fof(rc3_vectsp_1, axiom,  (? [A] :  (l3_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v3_group_1(A) & v5_group_1(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(rc3_xxreal_2, axiom,  (? [A] :  (v1_membered(A) &  (v2_membered(A) &  (v3_membered(A) &  (v4_membered(A) &  (v5_membered(A) &  (v6_membered(A) &  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_2(A) & v5_xxreal_2(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_compts_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A)))) &  ( ~ (v1_xboole_0(B))  & v1_tops_2(B, A)) ) ) ) ) ).
fof(rc4_funcsdom, axiom,  (? [A] :  (l1_funcsdom(A) &  ( ~ (v2_struct_0(A))  &  (v13_algstr_0(A) &  (v1_vectsp_1(A) &  (v3_vectsp_1(A) &  (v2_rlvect_1(A) &  (v3_rlvect_1(A) &  (v4_rlvect_1(A) &  (v5_rlvect_1(A) &  (v6_rlvect_1(A) &  (v7_rlvect_1(A) &  (v3_group_1(A) &  (v5_group_1(A) &  (v1_funcsdom(A) & v2_funcsdom(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_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  ( ~ (v2_struct_0(B))  & v1_pre_topc(B)) ) ) ) ) ).
fof(rc4_pscomp_1, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v1_compts_1(A)) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_vectsp_1, axiom,  (? [A] :  (l4_algstr_0(A) &  ( ~ (v2_struct_0(A))  &  (v1_group_1(A) &  (v3_group_1(A) & v5_group_1(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(rc4_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  & v6_xxreal_2(A)) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_pre_topc(B, A) &  (v1_pre_topc(B) & v2_pre_topc(B)) ) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_valued_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) & v6_valued_0(B)) ) ) ) ) ) ) ) ) ) ) ) ).
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(rc5_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_pre_topc, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v4_pre_topc(B, A)) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc6_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xxreal_2(A))  &  (v2_xxreal_2(A) & v6_xxreal_2(A)) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc7_pre_topc, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v4_pre_topc(B, A)) ) ) ) ) ).
fof(rc7_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  (v1_xxreal_2(A) &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc8_xxreal_2, axiom,  (? [A] :  (v2_membered(A) &  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xxreal_2(A))  &  ( ~ (v2_xxreal_2(A))  & v6_xxreal_2(A)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_pre_topc, axiom,  (? [A] :  (l1_pre_topc(A) &  ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & v7_pre_topc(A)) ) ) ) ).
fof(redefinition_k2_partfun1, axiom,  (! [A, B, C, D] :  ( (v1_funct_1(C) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))))  => k2_partfun1(A, B, C, D)=k5_relat_1(C, D)) ) ).
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_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
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_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(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
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(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(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(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
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_c0sp2, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_pre_topc(A) & l1_pre_topc(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k3_c0sp2(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k3_c0sp2(A))) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(k3_c0sp2(A))) =>  (! [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, u1_struct_0(A), k1_numbers) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [F] :  ( (v1_funct_1(F) &  (v1_funct_2(F, u1_struct_0(A), k1_numbers) & m1_subset_1(F, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [G] :  ( (v1_funct_1(G) &  (v1_funct_2(G, u1_struct_0(A), k1_numbers) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), k1_numbers)))) )  =>  (! [H] :  (v1_xreal_0(H) =>  ( (E=B & F=C)  =>  (C=k1_rlvect_1(k3_c0sp2(A), B, H) <=>  (! [I] :  (m1_subset_1(I, u1_struct_0(A)) => k3_funct_2(u1_struct_0(A), k1_numbers, F, I)=k3_xcmplx_0(H, k3_funct_2(u1_struct_0(A), k1_numbers, E, I))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(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)) ) ) ) ) ).
