% Mizar problem: t9_csspace3,csspace3,689,5 
include('Axioms/SET010^0.ax').
thf(n0_type, type, 0: $i).
thf(n1_type, type, 1: $i).
thf(n2_type, type, 2: $i).
thf(g1_clvect_1_type, type, g1_clvect_1: $i > $i > $i > $i > $i).
thf(g2_clvect_1_type, type, g2_clvect_1: $i > $i > $i > $i > $i > $i).
thf(k1_algstr_0_type, type, k1_algstr_0: $i > $i > $i > $i).
thf(k1_binop_1_type, type, k1_binop_1: $i > $i > $i > $i).
thf(k1_cfuncdom_type, type, k1_cfuncdom: $i > $i).
thf(k1_clvect_1_type, type, k1_clvect_1: $i > $i > $i > $i).
thf(k1_csspace_type, type, k1_csspace: $i).
thf(k1_csspace3_type, type, k1_csspace3: $i).
thf(k1_funct_1_type, type, k1_funct_1: $i > $i > $i).
thf(k1_funct_2_type, type, k1_funct_2: $i > $i > $i).
thf(k1_nat_1_type, type, k1_nat_1: $i > $i > $i).
thf(k1_normsp_0_type, type, k1_normsp_0: $i > $i > $i > $i).
thf(k1_numbers_type, type, k1_numbers: $i).
thf(k1_seq_2_type, type, k1_seq_2: $i > $i).
thf(k1_series_1_type, type, k1_series_1: $i > $i > $i > $i).
thf(k1_tarski_type, type, k1_tarski: $i > $i).
thf(k1_valued_1_type, type, k1_valued_1: $i > $i > $i).
thf(k1_xboole_0_type, type, k1_xboole_0: $i).
thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i).
thf(k24_valued_1_type, type, k24_valued_1: $i > $i > $i).
thf(k25_valued_1_type, type, k25_valued_1: $i > $i > $i > $i > $i).
thf(k2_csspace_type, type, k2_csspace: $i > $i).
thf(k2_csspace3_type, type, k2_csspace3: $i).
thf(k2_funcop_1_type, type, k2_funcop_1: $i > $i > $i).
thf(k2_normsp_0_type, type, k2_normsp_0: $i > $i > $i).
thf(k2_numbers_type, type, k2_numbers: $i).
thf(k2_series_1_type, type, k2_series_1: $i > $i).
thf(k2_valued_1_type, type, k2_valued_1: $i > $i > $i > $i > $i > $i).
thf(k2_xcmplx_0_type, type, k2_xcmplx_0: $i > $i > $i).
thf(k2_zfmisc_1_type, type, k2_zfmisc_1: $i > $i > $i).
thf(k30_valued_1_type, type, k30_valued_1: $i > $i).
thf(k31_valued_1_type, type, k31_valued_1: $i > $i > $i > $i).
thf(k3_cfuncdom_type, type, k3_cfuncdom: $i > $i).
thf(k3_comseq_2_type, type, k3_comseq_2: $i > $i).
thf(k3_csspace3_type, type, k3_csspace3: $i).
thf(k3_funct_2_type, type, k3_funct_2: $i > $i > $i > $i > $i).
thf(k3_numbers_type, type, k3_numbers: $i).
thf(k3_real_1_type, type, k3_real_1: $i > $i > $i).
thf(k3_series_1_type, type, k3_series_1: $i > $i).
thf(k3_valued_1_type, type, k3_valued_1: $i > $i > $i > $i > $i > $i).
thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $i > $i > $i).
thf(k45_valued_1_type, type, k45_valued_1: $i > $i > $i).
thf(k46_valued_1_type, type, k46_valued_1: $i > $i > $i > $i > $i > $i).
thf(k4_algstr_0_type, type, k4_algstr_0: $i > $i > $i).
thf(k4_binop_1_type, type, k4_binop_1: $i > $i > $i > $i > $i).
thf(k4_cfuncdom_type, type, k4_cfuncdom: $i > $i).
thf(k4_csspace_type, type, k4_csspace: $i).
thf(k4_numbers_type, type, k4_numbers: $i).
thf(k4_ordinal1_type, type, k4_ordinal1: $i).
thf(k4_series_1_type, type, k4_series_1: $i > $i).
thf(k4_struct_0_type, type, k4_struct_0: $i > $i).
thf(k4_tarski_type, type, k4_tarski: $i > $i > $i).
thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $i > $i).
thf(k54_valued_1_type, type, k54_valued_1: $i > $i).
thf(k55_valued_1_type, type, k55_valued_1: $i > $i > $i > $i).
thf(k5_algstr_0_type, type, k5_algstr_0: $i > $i > $i > $i).
thf(k5_complex1_type, type, k5_complex1: $i).
thf(k5_csspace_type, type, k5_csspace: $i).
thf(k5_numbers_type, type, k5_numbers: $i).
thf(k5_ordinal1_type, type, k5_ordinal1: $i).
thf(k6_cfuncdom_type, type, k6_cfuncdom: $i > $i).
thf(k6_csspace_type, type, k6_csspace: $i > $i > $i).
thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i).
thf(k7_csspace_type, type, k7_csspace: $i > $i > $i).
thf(k7_funcop_1_type, type, k7_funcop_1: $i > $i > $i).
thf(k7_xcmplx_0_type, type, k7_xcmplx_0: $i > $i > $i).
thf(k8_csspace_type, type, k8_csspace: $i > $i > $i).
thf(k8_funcop_1_type, type, k8_funcop_1: $i > $i > $i > $i).
thf(k8_nat_1_type, type, k8_nat_1: $i > $i > $i > $i).
thf(k9_complex1_type, type, k9_complex1: $i > $i).
thf(k9_funct_2_type, type, k9_funct_2: $i > $i > $i).
thf(k9_xtuple_0_type, type, k9_xtuple_0: $i > $i).
thf(u1_algstr_0_type, type, u1_algstr_0: $i > $i).
thf(u1_clvect_1_type, type, u1_clvect_1: $i > $i).
thf(u1_normsp_0_type, type, u1_normsp_0: $i > $i).
thf(u1_struct_0_type, type, u1_struct_0: $i > $i).
thf(u2_struct_0_type, type, u2_struct_0: $i > $i).
thf(l1_algstr_0_type, type, l1_algstr_0: $i > $o).
thf(l1_clvect_1_type, type, l1_clvect_1: $i > $o).
thf(l1_normsp_0_type, type, l1_normsp_0: $i > $o).
thf(l1_struct_0_type, type, l1_struct_0: $i > $o).
thf(l2_algstr_0_type, type, l2_algstr_0: $i > $o).
thf(l2_clvect_1_type, type, l2_clvect_1: $i > $o).
thf(l2_normsp_0_type, type, l2_normsp_0: $i > $o).
thf(l2_struct_0_type, type, l2_struct_0: $i > $o).
thf(m1_funct_2_type, type, m1_funct_2: $i > $i > $i > $o).
thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o).
thf(m2_funct_2_type, type, m2_funct_2: $i > $i > $i > $i > $o).
thf(r1_tarski_type, type, r1_tarski: $i > $i > $o).
thf(r1_xxreal_0_type, type, r1_xxreal_0: $i > $i > $o).
thf(r2_funct_2_type, type, r2_funct_2: $i > $i > $i > $i > $o).
thf(r2_tarski_type, type, r2_tarski: $i > $i > $o).
thf(v10_ordinal1_type, type, v10_ordinal1: $i > $o).
thf(v13_algstr_0_type, type, v13_algstr_0: $i > $o).
thf(v13_struct_0_type, type, v13_struct_0: $i > $i > $o).
thf(v1_clvect_1_type, type, v1_clvect_1: $i > $o).
thf(v1_comseq_2_type, type, v1_comseq_2: $i > $o).
thf(v1_csspace3_type, type, v1_csspace3: $i > $i > $o).
thf(v1_finset_1_type, type, v1_finset_1: $i > $o).
thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
thf(v1_funct_2_type, type, v1_funct_2: $i > $i > $i > $o).
thf(v1_int_1_type, type, v1_int_1: $i > $o).
thf(v1_membered_type, type, v1_membered: $i > $o).
thf(v1_ordinal1_type, type, v1_ordinal1: $i > $o).
thf(v1_partfun1_type, type, v1_partfun1: $i > $i > $o).
thf(v1_rat_1_type, type, v1_rat_1: $i > $o).
thf(v1_relat_1_type, type, v1_relat_1: $i > $o).
thf(v1_seq_2_type, type, v1_seq_2: $i > $o).
thf(v1_series_1_type, type, v1_series_1: $i > $o).
thf(v1_setfam_1_type, type, v1_setfam_1: $i > $o).
thf(v1_subset_1_type, type, v1_subset_1: $i > $i > $o).
thf(v1_valued_0_type, type, v1_valued_0: $i > $o).
thf(v1_xboole_0_type, type, v1_xboole_0: $i > $o).
thf(v1_xcmplx_0_type, type, v1_xcmplx_0: $i > $o).
thf(v1_xreal_0_type, type, v1_xreal_0: $i > $o).
thf(v1_xxreal_0_type, type, v1_xxreal_0: $i > $o).
thf(v1_zfmisc_1_type, type, v1_zfmisc_1: $i > $o).
thf(v2_clvect_1_type, type, v2_clvect_1: $i > $o).
thf(v2_comseq_2_type, type, v2_comseq_2: $i > $o).
thf(v2_comseq_3_type, type, v2_comseq_3: $i > $o).
thf(v2_membered_type, type, v2_membered: $i > $o).
thf(v2_ordinal1_type, type, v2_ordinal1: $i > $o).
thf(v2_rlvect_1_type, type, v2_rlvect_1: $i > $o).
thf(v2_seq_2_type, type, v2_seq_2: $i > $o).
thf(v2_struct_0_type, type, v2_struct_0: $i > $o).
thf(v2_valued_0_type, type, v2_valued_0: $i > $o).
thf(v2_xxreal_0_type, type, v2_xxreal_0: $i > $o).
thf(v3_clvect_1_type, type, v3_clvect_1: $i > $o).
thf(v3_membered_type, type, v3_membered: $i > $o).
thf(v3_normsp_0_type, type, v3_normsp_0: $i > $o).
thf(v3_ordinal1_type, type, v3_ordinal1: $i > $o).
thf(v3_rlvect_1_type, type, v3_rlvect_1: $i > $o).
thf(v3_valued_0_type, type, v3_valued_0: $i > $o).
thf(v3_xxreal_0_type, type, v3_xxreal_0: $i > $o).
thf(v4_clvect_1_type, type, v4_clvect_1: $i > $o).
thf(v4_funct_1_type, type, v4_funct_1: $i > $o).
thf(v4_membered_type, type, v4_membered: $i > $o).
thf(v4_normsp_0_type, type, v4_normsp_0: $i > $o).
thf(v4_relat_1_type, type, v4_relat_1: $i > $i > $o).
thf(v4_rlvect_1_type, type, v4_rlvect_1: $i > $o).
thf(v4_valued_0_type, type, v4_valued_0: $i > $o).
thf(v5_clvect_1_type, type, v5_clvect_1: $i > $o).
thf(v5_membered_type, type, v5_membered: $i > $o).
thf(v5_ordinal1_type, type, v5_ordinal1: $i > $o).
thf(v5_relat_1_type, type, v5_relat_1: $i > $i > $o).
thf(v5_valued_0_type, type, v5_valued_0: $i > $o).
thf(v6_clvect_1_type, type, v6_clvect_1: $i > $i > $o).
thf(v6_membered_type, type, v6_membered: $i > $o).
thf(v6_ordinal1_type, type, v6_ordinal1: $i > $o).
thf(v6_valued_0_type, type, v6_valued_0: $i > $o).
thf(v7_clvect_1_type, type, v7_clvect_1: $i > $o).
thf(v7_membered_type, type, v7_membered: $i > $o).
thf(v7_ordinal1_type, type, v7_ordinal1: $i > $o).
thf(v7_struct_0_type, type, v7_struct_0: $i > $o).
thf(v7_valued_0_type, type, v7_valued_0: $i > $o).
thf(v8_clvect_1_type, type, v8_clvect_1: $i > $o).
thf(v8_ordinal1_type, type, v8_ordinal1: $i > $o).
thf(v8_struct_0_type, type, v8_struct_0: $i > $o).
thf(v8_valued_0_type, type, v8_valued_0: $i > $o).
thf(v9_clvect_1_type, type, v9_clvect_1: $i > $i > $o).
thf(v9_ordinal1_type, type, v9_ordinal1: $i > $o).
thf(v9_struct_0_type, type, v9_struct_0: $i > $i > $o).
thf(abstractness_v1_clvect_1, axiom,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  ( (v1_clvect_1 @ A)  =>  ( (= @ A)  @  ( ( ( (g1_clvect_1 @  (u1_struct_0 @ A) )  @  (u2_struct_0 @ A) )  @  (u1_algstr_0 @ A) )  @  (u1_clvect_1 @ A) ) ) ) ) ) , file(clvect_1, v1_clvect_1)).
thf(abstractness_v7_clvect_1, axiom,  (! [A: $i] :  ( (l2_clvect_1 @ A)  =>  ( (v7_clvect_1 @ A)  =>  ( (= @ A)  @  ( ( ( ( (g2_clvect_1 @  (u1_struct_0 @ A) )  @  (u2_struct_0 @ A) )  @  (u1_algstr_0 @ A) )  @  (u1_clvect_1 @ A) )  @  (u1_normsp_0 @ A) ) ) ) ) ) , file(clvect_1, v7_clvect_1)).
thf(antisymmetry_r2_hidden, axiom,  (! [A: $i, B: $i] :  ( ( (r2_hidden @ A)  @ B)  =>  ~ ( ( (r2_hidden @ B)  @ A) ) ) ) , file(hidden, r2_hidden)).
thf(asymmetry_r2_tarski, axiom,  (! [A: $i, B: $i] :  ( ( (r2_tarski @ A)  @ B)  =>  ~ ( ( (r2_tarski @ B)  @ A) ) ) ) , file(tarski, r2_tarski)).
thf(cc10_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( ( (m1_funct_2 @ C)  @ A)  @ B)  =>  (v4_funct_1 @ C) ) ) ) , file(funct_2, cc10_funct_2)).
thf(cc10_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_int_1 @ B) ) ) ) ) , file(membered, cc10_membered)).
thf(cc10_ordinal1, axiom,  (! [A: $i] :  ( (v6_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc10_ordinal1)).
thf(cc10_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) )  =>  ( (v13_struct_0 @ A)  @ 1) ) ) ) , file(struct_0, cc10_struct_0)).
thf(cc10_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_valued_0 @ B) ) ) ) ) , file(valued_0, cc10_valued_0)).
thf(cc11_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v7_ordinal1 @ B) ) ) ) ) , file(membered, cc11_membered)).
thf(cc11_ordinal1, axiom,  (! [A: $i] :  ( (v8_ordinal1 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc11_ordinal1)).
thf(cc11_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ 1)  =>  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc11_struct_0)).
thf(cc11_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_valued_0 @ B) ) ) ) ) , file(valued_0, cc11_valued_0)).
thf(cc12_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_membered @ A) ) ) , file(membered, cc12_membered)).
thf(cc12_ordinal1, axiom,  (! [A: $i] :  ( (v8_ordinal1 @ A)  =>  (v1_zfmisc_1 @ A) ) ) , file(ordinal1, cc12_ordinal1)).
thf(cc12_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_valued_0 @ B) ) ) ) ) , file(valued_0, cc12_valued_0)).
thf(cc13_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_membered @ B) ) ) ) ) , file(membered, cc13_membered)).
thf(cc13_ordinal1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  ~ ( (v8_ordinal1 @ A) ) ) ) , file(ordinal1, cc13_ordinal1)).
thf(cc13_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k3_numbers) ) ) ) ) , file(valued_0, cc13_valued_0)).
thf(cc14_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v2_membered @ B) ) ) ) ) , file(membered, cc14_membered)).
thf(cc14_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ~ ( (v10_ordinal1 @ A) ) ) ) , file(ordinal1, cc14_ordinal1)).
thf(cc14_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v5_relat_1 @ B)  @ k4_numbers) ) ) ) ) , file(valued_0, cc14_valued_0)).
thf(cc15_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v3_membered @ B) ) ) ) ) , file(membered, cc15_membered)).
thf(cc15_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_xboole_0 @ A)  &  (v1_relat_1 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v9_ordinal1 @ A) ) ) ) , file(ordinal1, cc15_ordinal1)).
thf(cc15_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_valued_0 @ B) ) ) ) ) , file(valued_0, cc15_valued_0)).
thf(cc16_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v4_membered @ B) ) ) ) ) , file(membered, cc16_membered)).
thf(cc16_ordinal1, axiom,  (! [A: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v10_ordinal1 @ A) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  ~ ( (v8_ordinal1 @ B) ) ) ) ) ) , file(ordinal1, cc16_ordinal1)).
thf(cc16_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_valued_0 @ C) ) ) ) ) , file(valued_0, cc16_valued_0)).
thf(cc17_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v5_membered @ B) ) ) ) ) , file(membered, cc17_membered)).
thf(cc17_ordinal1, axiom,  (! [A: $i] :  ( ~ ( (v10_ordinal1 @ A) )  =>  (v1_setfam_1 @ A) ) ) , file(ordinal1, cc17_ordinal1)).
thf(cc17_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc17_struct_0)).
thf(cc17_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v2_valued_0 @ C) ) ) ) ) , file(valued_0, cc17_valued_0)).
thf(cc18_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v6_membered @ B) ) ) ) ) , file(membered, cc18_membered)).
thf(cc18_ordinal1, axiom,  (! [A: $i] :  ( (v10_ordinal1 @ A)  =>  ~ ( (v1_setfam_1 @ A) ) ) ) , file(ordinal1, cc18_ordinal1)).
thf(cc18_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v3_valued_0 @ C) ) ) ) ) , file(valued_0, cc18_valued_0)).
thf(cc19_membered, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_membered @ A) ) ) , file(membered, cc19_membered)).
thf(cc19_ordinal1, axiom,  (! [A: $i] :  ( (v1_setfam_1 @ A)  =>  ~ ( (v10_ordinal1 @ A) ) ) ) , file(ordinal1, cc19_ordinal1)).
thf(cc19_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k3_numbers) ) ) ) ) , file(valued_0, cc19_valued_0)).
thf(cc1_comseq_2, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) )  =>  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  (v2_comseq_2 @ A) ) )  =>  ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  (v1_comseq_2 @ A) ) ) ) ) ) , file(comseq_2, cc1_comseq_2)).
thf(cc1_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v1_partfun1 @ C)  @ A)  =>  ( ( (v1_funct_2 @ C)  @ A)  @ B) ) ) ) ) , file(funct_2, cc1_funct_2)).
thf(cc1_membered, axiom,  (! [A: $i] :  ( (v6_membered @ A)  =>  (v5_membered @ A) ) ) , file(membered, cc1_membered)).
thf(cc1_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) ) ) ) , file(ordinal1, cc1_ordinal1)).
thf(cc1_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_relat_1 @ C) ) ) ) , file(relset_1, cc1_relset_1)).
thf(cc1_seq_2, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  (v1_comseq_2 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  ( (v1_seq_2 @ A)  &  (v2_seq_2 @ A) ) ) ) ) ) ) , file(seq_2, cc1_seq_2)).
thf(cc1_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  (v7_struct_0 @ A) ) ) ) , file(struct_0, cc1_struct_0)).
thf(cc1_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_xboole_0 @ B) ) ) ) ) , file(subset_1, cc1_subset_1)).
thf(cc1_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) ) ) ) , file(valued_0, cc1_valued_0)).
thf(cc1_xcmplx_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc1_xcmplx_0)).
thf(cc1_xreal_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc1_xreal_0)).
thf(cc20_ordinal1, axiom,  (! [A: $i] :  ( ~ ( (v1_setfam_1 @ A) )  =>  (v10_ordinal1 @ A) ) ) , file(ordinal1, cc20_ordinal1)).
thf(cc20_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( (v5_relat_1 @ C)  @ k4_numbers) ) ) ) ) , file(valued_0, cc20_valued_0)).
thf(cc21_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v4_valued_0 @ C) ) ) ) ) , file(valued_0, cc21_valued_0)).
thf(cc22_valued_0, axiom,  (! [A: $i] :  ( ( (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)  &  ( (v5_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) ) ) ) ) , file(valued_0, cc22_valued_0)).
thf(cc23_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v5_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v7_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc23_valued_0)).
thf(cc24_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v6_valued_0 @ A) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v2_valued_0 @ A)  &  (v8_valued_0 @ A) ) ) ) ) ) , file(valued_0, cc24_valued_0)).
thf(cc28_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k2_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) ) ) ) , file(valued_0, cc28_valued_0)).
thf(cc2_comseq_2, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) )  =>  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ~ ( (v1_comseq_2 @ A) ) ) )  =>  ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ~ ( (v2_comseq_2 @ A) ) ) ) ) ) ) , file(comseq_2, cc2_comseq_2)).
thf(cc2_funct_2, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc2_funct_2)).
thf(cc2_membered, axiom,  (! [A: $i] :  ( (v5_membered @ A)  =>  (v4_membered @ A) ) ) , file(membered, cc2_membered)).
thf(cc2_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) )  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc2_ordinal1)).
thf(cc2_relset_1, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v5_relat_1 @ C)  @ B) ) ) ) ) , file(relset_1, cc2_relset_1)).
thf(cc2_seq_2, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  ( (v1_seq_2 @ A)  &  (v2_seq_2 @ A) ) ) ) )  =>  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  ( (v3_valued_0 @ A)  &  (v1_comseq_2 @ A) ) ) ) ) ) , file(seq_2, cc2_seq_2)).
thf(cc2_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v7_struct_0 @ A) )  =>  ~ ( (v2_struct_0 @ A) ) ) ) ) , file(struct_0, cc2_struct_0)).
thf(cc2_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( ~ ( ( (v1_subset_1 @ B)  @ A) )  =>  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) ) , file(subset_1, cc2_subset_1)).
thf(cc2_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc2_valued_0)).
thf(cc2_xcmplx_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_numbers)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc2_xcmplx_0)).
thf(cc2_xreal_0, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v1_xreal_0 @ A) ) ) , file(xreal_0, cc2_xreal_0)).
thf(cc30_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k1_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc30_valued_0)).
thf(cc31_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_ordinal1) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc31_valued_0)).
thf(cc3_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  =>  ( (v1_partfun1 @ C)  @ A) ) ) ) ) ) , file(funct_2, cc3_funct_2)).
thf(cc3_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (v3_membered @ A) ) ) , file(membered, cc3_membered)).
thf(cc3_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc3_ordinal1)).
thf(cc3_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc3_relset_1)).
thf(cc3_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ( (v1_xboole_0 @ B)  =>  ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc3_subset_1)).
thf(cc3_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k4_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc3_valued_0)).
thf(cc3_xcmplx_0, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k2_numbers)  =>  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, cc3_xcmplx_0)).
thf(cc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xcmplx_0 @ A) ) ) , file(xreal_0, cc3_xreal_0)).
thf(cc4_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ A) ) )  =>  ( ( ( (v1_funct_2 @ B)  @ A)  @ A)  =>  ( (v1_partfun1 @ B)  @ A) ) ) ) ) , file(funct_2, cc4_funct_2)).
thf(cc4_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v2_membered @ A) ) ) , file(membered, cc4_membered)).
thf(cc4_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v5_ordinal1 @ A) ) ) , file(ordinal1, cc4_ordinal1)).
thf(cc4_relset_1, axiom,  (! [A: $i, B: $i] :  ( (v1_xboole_0 @ A)  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) )  =>  (v1_xboole_0 @ C) ) ) ) ) , file(relset_1, cc4_relset_1)).
thf(cc4_seq_2, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) )  =>  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @ A) ) )  =>  ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  (v1_comseq_2 @ A) ) ) ) ) ) , file(seq_2, cc4_seq_2)).
thf(cc4_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  &  (v8_struct_0 @ A) ) ) ) ) , file(struct_0, cc4_struct_0)).
thf(cc4_subset_1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) ) , file(subset_1, cc4_subset_1)).
thf(cc4_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc4_valued_0)).
thf(cc4_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v1_xxreal_0 @ A) ) ) , file(xreal_0, cc4_xreal_0)).
thf(cc5_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (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) ) ) ) ) ) , file(funct_2, cc5_funct_2)).
thf(cc5_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (v1_membered @ A) ) ) , file(membered, cc5_membered)).
thf(cc5_ordinal1, axiom,  (! [A: $i] :  ( (v3_ordinal1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v3_ordinal1 @ B) ) ) ) ) , file(ordinal1, cc5_ordinal1)).
thf(cc5_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ( ~ ( (v2_struct_0 @ A) )  &  ~ ( (v8_struct_0 @ A) ) ) ) ) ) , file(struct_0, cc5_struct_0)).
thf(cc5_subset_1, axiom,  (! [A: $i] :  ( (v1_zfmisc_1 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  =>  (v1_zfmisc_1 @ B) ) ) ) ) , file(subset_1, cc5_subset_1)).
thf(cc5_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v2_valued_0 @ A) ) ) ) , file(valued_0, cc5_valued_0)).
thf(cc6_membered, axiom,  (! [A: $i] :  ( (v1_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xcmplx_0 @ B) ) ) ) ) , file(membered, cc6_membered)).
thf(cc6_ordinal1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1)).
thf(cc6_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v7_struct_0 @ A)  =>  (v8_struct_0 @ A) ) ) ) , file(struct_0, cc6_struct_0)).
thf(cc6_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v1_valued_0 @ A) ) ) ) , file(valued_0, cc6_valued_0)).
thf(cc7_membered, axiom,  (! [A: $i] :  ( (v2_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xxreal_0 @ B) ) ) ) ) , file(membered, cc7_membered)).
thf(cc7_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1)).
thf(cc7_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ~ ( (v8_struct_0 @ A) )  =>  ~ ( (v7_struct_0 @ A) ) ) ) ) , file(struct_0, cc7_struct_0)).
thf(cc7_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  ( (v5_relat_1 @ A)  @ k3_numbers) ) ) ) , file(valued_0, cc7_valued_0)).
thf(cc8_membered, axiom,  (! [A: $i] :  ( (v3_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_xreal_0 @ B) ) ) ) ) , file(membered, cc8_membered)).
thf(cc8_ordinal1, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k4_ordinal1)  =>  (v7_ordinal1 @ A) ) ) , file(ordinal1, cc8_ordinal1)).
thf(cc8_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( (v2_struct_0 @ A)  =>  ( (v13_struct_0 @ A)  @ k5_ordinal1) ) ) ) , file(struct_0, cc8_struct_0)).
thf(cc8_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v3_valued_0 @ A) ) ) ) , file(valued_0, cc8_valued_0)).
thf(cc9_funct_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  (! [C: $i] :  ( ( (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) ) ) ) ) ) ) ) , file(funct_2, cc9_funct_2)).
thf(cc9_membered, axiom,  (! [A: $i] :  ( (v4_membered @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @ A)  =>  (v1_rat_1 @ B) ) ) ) ) , file(membered, cc9_membered)).
thf(cc9_ordinal1, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1)).
thf(cc9_struct_0, axiom,  (! [A: $i] :  ( (l1_struct_0 @ A)  =>  ( ( (v13_struct_0 @ A)  @ k5_ordinal1)  =>  (v2_struct_0 @ A) ) ) ) , file(struct_0, cc9_struct_0)).
thf(cc9_valued_0, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_xboole_0 @ A) )  =>  ( (v1_relat_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, cc9_valued_0)).
thf(commutativity_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k4_ordinal1) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k1_nat_1 @ B)  @ A) ) ) ) , file(nat_1, k1_nat_1)).
thf(commutativity_k1_series_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) ) ) )  =>  ( (= @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  ( ( (k1_series_1 @ A)  @ C)  @ B) ) ) ) , file(series_1, k1_series_1)).
thf(commutativity_k1_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (= @  ( (k1_valued_1 @ A)  @ B) )  @  ( (k1_valued_1 @ B)  @ A) ) ) ) , file(valued_1, k1_valued_1)).
thf(commutativity_k2_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v1_membered @ B)  &  ( (v1_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (= @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ E)  @ D) ) ) ) , file(valued_1, k2_valued_1)).
thf(commutativity_k2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k2_xcmplx_0)).
thf(commutativity_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (= @  ( (k3_real_1 @ A)  @ B) )  @  ( (k3_real_1 @ B)  @ A) ) ) ) , file(real_1, k3_real_1)).
thf(commutativity_k3_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v3_membered @ B)  &  ( (v3_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (= @  ( ( ( ( (k3_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( ( ( (k3_valued_1 @ A)  @ B)  @ C)  @ E)  @ D) ) ) ) , file(valued_1, k3_valued_1)).
thf(commutativity_k3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ B) )  @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) , file(xcmplx_0, k3_xcmplx_0)).
thf(connectedness_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( ( (r1_xxreal_0 @ A)  @ B)  |  ( (r1_xxreal_0 @ B)  @ A) ) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(d12_ordinal1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  <=>  ( (r2_hidden @ A)  @ k4_ordinal1) ) ) , file(ordinal1, d12_ordinal1)).
thf(d14_algstr_0, axiom,  (! [A: $i] :  ( (l2_algstr_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k5_algstr_0 @ A)  @ B)  @ C) )  @  ( ( (k1_algstr_0 @ A)  @ B)  @  ( (k4_algstr_0 @ A)  @ C) ) ) ) ) ) ) ) ) , file(algstr_0, d14_algstr_0)).
thf(d15_clvect_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v3_normsp_0 @ A)  &  ( (v4_normsp_0 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  ( (v8_clvect_1 @ A)  &  (l2_clvect_1 @ A) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( ( (v9_clvect_1 @ B)  @ A)  <=>  (? [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  &  (! [D: $i] :  ( (v1_xreal_0 @ D)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ D)  @ k5_numbers) )  &  (! [E: $i] :  ( (v7_ordinal1 @ E)  =>  (? [F: $i] :  ( (v7_ordinal1 @ F)  &  ( ( (r1_xxreal_0 @ E)  @ F)  &  ( (r1_xxreal_0 @ D)  @  ( (k2_normsp_0 @ A)  @  ( ( (k5_algstr_0 @ A)  @  ( ( (k1_normsp_0 @ A)  @ B)  @ F) )  @ C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(clvect_1, d15_clvect_1)).
thf(d1_algstr_0, axiom,  (! [A: $i] :  ( (l1_algstr_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( ( (k1_algstr_0 @ A)  @ B)  @ C) )  @  ( ( ( (k4_binop_1 @  (u1_struct_0 @ A) )  @  (u1_algstr_0 @ A) )  @ B)  @ C) ) ) ) ) ) ) ) , file(algstr_0, d1_algstr_0)).
thf(d1_binop_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  (v1_funct_1 @ A) )  =>  (! [B: $i] :  (! [C: $i] :  ( (= @  ( ( (k1_binop_1 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @ A)  @  ( (k4_tarski @ B)  @ C) ) ) ) ) ) ) , file(binop_1, d1_binop_1)).
thf(d1_csspace, axiom,  ( (= @ k1_csspace)  @  ( (k9_funct_2 @ k4_ordinal1)  @ k2_numbers) ) , file(csspace, d1_csspace)).
thf(d1_csspace3, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  (u1_struct_0 @ k5_csspace) ) )  =>  ( ( (= @ A)  @ k1_csspace3)  <=>  (! [B: $i] :  ( ( (r2_hidden @ B)  @ A)  <=>  ( ( (r2_hidden @ B)  @ k1_csspace)  &  (v2_comseq_3 @  (k2_csspace @ B) ) ) ) ) ) ) ) , file(csspace3, d1_csspace3)).
thf(d1_normsp_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_normsp_0 @ A) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( (k2_normsp_0 @ A)  @ B) )  @  ( ( ( (k3_funct_2 @  (u1_struct_0 @ A) )  @ k1_numbers)  @  (u1_normsp_0 @ A) )  @ B) ) ) ) ) ) , file(normsp_0, d1_normsp_0)).
thf(d1_series_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( (v1_funct_1 @ A)  &  ( ( (v1_partfun1 @ A)  @ k4_ordinal1)  &  (v1_valued_0 @ A) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ k4_ordinal1)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ k4_ordinal1)  &  (v1_valued_0 @ B) ) ) ) )  =>  ( ( (= @ B)  @  (k2_series_1 @ A) )  <=>  ( ( (= @  ( (k1_funct_1 @ B)  @ k5_numbers) )  @  ( (k1_funct_1 @ A)  @ k5_numbers) )  &  (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  ( (= @  ( (k1_funct_1 @ B)  @  ( (k1_nat_1 @ C)  @ 1) ) )  @  ( (k2_xcmplx_0 @  ( (k1_funct_1 @ B)  @ C) )  @  ( (k1_funct_1 @ A)  @  ( (k1_nat_1 @ C)  @ 1) ) ) ) ) ) ) ) ) ) ) ) , file(series_1, d1_series_1)).
thf(d2_csspace3, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k1_csspace3)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k1_csspace3)  @ k1_numbers) ) ) ) )  =>  ( ( (= @ A)  @ k2_csspace3)  <=>  (! [B: $i] :  ( ( (r2_hidden @ B)  @ k1_csspace3)  =>  ( (= @  ( (k1_funct_1 @ A)  @ B) )  @  (k4_series_1 @  ( ( (k55_valued_1 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @ B) ) ) ) ) ) ) ) ) , file(csspace3, d2_csspace3)).
thf(d2_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (v1_series_1 @ A)  <=>  (v2_comseq_2 @  (k3_series_1 @ A) ) ) ) ) , file(series_1, d2_series_1)).
thf(d2_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  <=>  ( (r2_hidden @ A)  @ k2_numbers) ) ) , file(xcmplx_0, d2_xcmplx_0)).
thf(d3_csspace3, axiom,  ( (= @ k3_csspace3)  @  ( ( ( ( (g2_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) )  @ k2_csspace3) ) , file(csspace3, d3_csspace3)).
thf(d3_seq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (v1_seq_2 @ A)  <=>  (? [B: $i] :  ( (v1_xreal_0 @ B)  &  (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  ~ ( ( (r1_xxreal_0 @ B)  @  ( (k1_funct_1 @ A)  @ C) ) ) ) ) ) ) ) ) ) , file(seq_2, d3_seq_2)).
thf(d3_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (= @  (k4_series_1 @ A) )  @  (k1_seq_2 @  (k3_series_1 @ A) ) ) ) ) , file(series_1, d3_series_1)).
thf(d4_cfuncdom, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( (= @  (k4_cfuncdom @ A) )  @  ( (k7_funcop_1 @ A)  @ k5_numbers) ) ) ) , file(cfuncdom, d4_cfuncdom)).
thf(d6_cfuncdom, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( (= @  (k6_cfuncdom @ A) )  @  ( ( ( (g1_clvect_1 @  ( (k9_funct_2 @ A)  @ k2_numbers) )  @  (k4_cfuncdom @ A) )  @  (k1_cfuncdom @ A) )  @  (k3_cfuncdom @ A) ) ) ) ) , file(cfuncdom, d6_cfuncdom)).
thf(d6_csspace, axiom,  ( (= @ k4_csspace)  @  ( ( (k8_funcop_1 @ k2_numbers)  @ k4_ordinal1)  @ k5_complex1) ) , file(csspace, d6_csspace)).
thf(d6_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  ( (= @  (k4_struct_0 @ A) )  @  (u2_struct_0 @ A) ) ) ) , file(struct_0, d6_struct_0)).
thf(d6_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (= @  (k30_valued_1 @ A) )  @  ( (k24_valued_1 @ A)  @  (k4_xcmplx_0 @ 1) ) ) ) ) , file(valued_1, d6_valued_1)).
thf(d7_csspace, axiom,  ( (= @ k5_csspace)  @  (k6_cfuncdom @ k4_ordinal1) ) , file(csspace, d7_csspace)).
thf(d9_comseq_3, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  ( (v2_comseq_3 @ A)  <=>  (v1_series_1 @  ( ( (k55_valued_1 @ k4_ordinal1)  @ k2_numbers)  @ A) ) ) ) ) , file(comseq_3, d9_comseq_3)).
thf(d9_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  (! [B: $i] :  ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) )  =>  ( (= @  ( (k45_valued_1 @ A)  @ B) )  @  ( (k1_valued_1 @ A)  @  (k30_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, d9_valued_1)).
thf(dt_g1_clvect_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) )  =>  ( (v1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) )  &  (l1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) ) ) ) , file(clvect_1, g1_clvect_1)).
thf(dt_g2_clvect_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k1_numbers) ) ) ) ) ) ) )  =>  ( (v7_clvect_1 @  ( ( ( ( (g2_clvect_1 @ A)  @ B)  @ C)  @ D)  @ E) )  &  (l2_clvect_1 @  ( ( ( ( (g2_clvect_1 @ A)  @ B)  @ C)  @ D)  @ E) ) ) ) ) , file(clvect_1, g2_clvect_1)).
thf(dt_k1_algstr_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (l1_algstr_0 @ A)  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k1_algstr_0 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(algstr_0, k1_algstr_0)).
thf(dt_k1_binop_1, axiom, $true, file(binop_1, k1_binop_1)).
thf(dt_k1_cfuncdom, axiom,  (! [A: $i] :  ( (v1_funct_1 @  (k1_cfuncdom @ A) )  &  ( ( ( (v1_funct_2 @  (k1_cfuncdom @ A) )  @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k2_numbers) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) )  &  ( (m1_subset_1 @  (k1_cfuncdom @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k9_funct_2 @ A)  @ k2_numbers) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) ) ) ) ) ) , file(cfuncdom, k1_cfuncdom)).
thf(dt_k1_clvect_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_clvect_1 @ A) )  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  (v1_xcmplx_0 @ C) ) )  =>  ( (m1_subset_1 @  ( ( (k1_clvect_1 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(clvect_1, k1_clvect_1)).
thf(dt_k1_csspace, axiom,  ~ ( (v1_xboole_0 @ k1_csspace) ) , file(csspace, k1_csspace)).
thf(dt_k1_csspace3, axiom,  ( (m1_subset_1 @ k1_csspace3)  @  (k1_zfmisc_1 @  (u1_struct_0 @ k5_csspace) ) ) , file(csspace3, k1_csspace3)).
thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)).
thf(dt_k1_funct_2, axiom, $true, file(funct_2, k1_funct_2)).
thf(dt_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k4_ordinal1) )  =>  ( (m1_subset_1 @  ( (k1_nat_1 @ A)  @ B) )  @ k4_ordinal1) ) ) , file(nat_1, k1_nat_1)).
thf(dt_k1_normsp_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @  (u1_struct_0 @ A) ) ) ) ) )  &  (v7_ordinal1 @ C) ) )  =>  ( (m1_subset_1 @  ( ( (k1_normsp_0 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(normsp_0, k1_normsp_0)).
thf(dt_k1_numbers, axiom, $true, file(numbers, k1_numbers)).
thf(dt_k1_seq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (v1_xreal_0 @  (k1_seq_2 @ A) ) ) ) , file(seq_2, k1_seq_2)).
thf(dt_k1_series_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  &  ( ( ( (v1_funct_2 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) ) ) ) , file(series_1, k1_series_1)).
thf(dt_k1_tarski, axiom, $true, file(tarski, k1_tarski)).
thf(dt_k1_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) , file(valued_1, k1_valued_1)).
thf(dt_k1_xboole_0, axiom, $true, file(xboole_0, k1_xboole_0)).
thf(dt_k1_zfmisc_1, axiom, $true, file(zfmisc_1, k1_zfmisc_1)).
thf(dt_k24_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) , file(valued_1, k24_valued_1)).
thf(dt_k25_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v1_membered @ B)  &  ( ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  (v1_xcmplx_0 @ D) ) )  =>  ( (v1_funct_1 @  ( ( ( (k25_valued_1 @ A)  @ B)  @ C)  @ D) )  &  ( (m1_subset_1 @  ( ( ( (k25_valued_1 @ A)  @ B)  @ C)  @ D) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k2_numbers) ) ) ) ) ) , file(valued_1, k25_valued_1)).
thf(dt_k2_csspace, axiom,  (! [A: $i] :  ( (v1_funct_1 @  (k2_csspace @ A) )  &  ( ( ( (v1_funct_2 @  (k2_csspace @ A) )  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @  (k2_csspace @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) ) , file(csspace, k2_csspace)).
thf(dt_k2_csspace3, axiom,  ( (v1_funct_1 @ k2_csspace3)  &  ( ( ( (v1_funct_2 @ k2_csspace3)  @ k1_csspace3)  @ k1_numbers)  &  ( (m1_subset_1 @ k2_csspace3)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k1_csspace3)  @ k1_numbers) ) ) ) ) , file(csspace3, k2_csspace3)).
thf(dt_k2_funcop_1, axiom, $true, file(funcop_1, k2_funcop_1)).
thf(dt_k2_normsp_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_normsp_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  (v1_xreal_0 @  ( (k2_normsp_0 @ A)  @ B) ) ) ) , file(normsp_0, k2_normsp_0)).
thf(dt_k2_numbers, axiom, $true, file(numbers, k2_numbers)).
thf(dt_k2_series_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( (v1_funct_1 @ A)  &  ( ( (v1_partfun1 @ A)  @ k4_ordinal1)  &  (v1_valued_0 @ A) ) ) ) )  =>  ( (v1_relat_1 @  (k2_series_1 @ A) )  &  ( ( (v4_relat_1 @  (k2_series_1 @ A) )  @ k4_ordinal1)  &  ( (v1_funct_1 @  (k2_series_1 @ A) )  &  ( ( (v1_partfun1 @  (k2_series_1 @ A) )  @ k4_ordinal1)  &  (v1_valued_0 @  (k2_series_1 @ A) ) ) ) ) ) ) ) , file(series_1, k2_series_1)).
thf(dt_k2_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v1_membered @ B)  &  ( (v1_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  &  ( (m1_subset_1 @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k2_numbers) ) ) ) ) ) , file(valued_1, k2_valued_1)).
thf(dt_k2_xcmplx_0, axiom, $true, file(xcmplx_0, k2_xcmplx_0)).
thf(dt_k2_zfmisc_1, axiom, $true, file(zfmisc_1, k2_zfmisc_1)).
thf(dt_k30_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ A) )  &  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  (v1_valued_0 @  (k30_valued_1 @ A) ) ) ) ) ) , file(valued_1, k30_valued_1)).
thf(dt_k31_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (v1_funct_1 @  ( ( (k31_valued_1 @ A)  @ B)  @ C) )  &  ( (m1_subset_1 @  ( ( (k31_valued_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k2_numbers) ) ) ) ) ) , file(valued_1, k31_valued_1)).
thf(dt_k3_cfuncdom, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( (v1_funct_1 @  (k3_cfuncdom @ A) )  &  ( ( ( (v1_funct_2 @  (k3_cfuncdom @ A) )  @  ( (k2_zfmisc_1 @ k2_numbers)  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) )  &  ( (m1_subset_1 @  (k3_cfuncdom @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) )  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) ) ) ) ) ) ) , file(cfuncdom, k3_cfuncdom)).
thf(dt_k3_comseq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  (v1_xcmplx_0 @  (k3_comseq_2 @ A) ) ) ) , file(comseq_2, k3_comseq_2)).
thf(dt_k3_csspace3, axiom,  ( ~ ( (v2_struct_0 @ k3_csspace3) )  &  (l2_clvect_1 @ k3_csspace3) ) , file(csspace3, k3_csspace3)).
thf(dt_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (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) ) ) , file(funct_2, k3_funct_2)).
thf(dt_k3_numbers, axiom, $true, file(numbers, k3_numbers)).
thf(dt_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (m1_subset_1 @  ( (k3_real_1 @ A)  @ B) )  @ k1_numbers) ) ) , file(real_1, k3_real_1)).
thf(dt_k3_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (v1_funct_1 @  (k3_series_1 @ A) )  &  ( ( ( (v1_funct_2 @  (k3_series_1 @ A) )  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @  (k3_series_1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) ) ) , file(series_1, k3_series_1)).
thf(dt_k3_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v3_membered @ B)  &  ( (v3_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( ( ( ( (k3_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  &  ( (m1_subset_1 @  ( ( ( ( (k3_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k1_numbers) ) ) ) ) ) , file(valued_1, k3_valued_1)).
thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)).
thf(dt_k45_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  &  (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) , file(valued_1, k45_valued_1)).
thf(dt_k46_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v1_membered @ B)  &  ( (v1_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( ( ( ( (k46_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  &  ( (m1_subset_1 @  ( ( ( ( (k46_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k2_numbers) ) ) ) ) ) , file(valued_1, k46_valued_1)).
thf(dt_k4_algstr_0, axiom,  (! [A: $i, B: $i] :  ( ( (l2_algstr_0 @ A)  &  ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) ) )  =>  ( (m1_subset_1 @  ( (k4_algstr_0 @ A)  @ B) )  @  (u1_struct_0 @ A) ) ) ) , file(algstr_0, k4_algstr_0)).
thf(dt_k4_binop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (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) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (m1_subset_1 @  ( ( ( (k4_binop_1 @ A)  @ B)  @ C)  @ D) )  @ A) ) ) , file(binop_1, k4_binop_1)).
thf(dt_k4_cfuncdom, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( ( ( (m2_funct_2 @  (k4_cfuncdom @ A) )  @ A)  @ k2_numbers)  @  ( (k9_funct_2 @ A)  @ k2_numbers) ) ) ) , file(cfuncdom, k4_cfuncdom)).
thf(dt_k4_csspace, axiom,  ( (m1_subset_1 @ k4_csspace)  @ k1_csspace) , file(csspace, k4_csspace)).
thf(dt_k4_numbers, axiom, $true, file(numbers, k4_numbers)).
thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)).
thf(dt_k4_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (v1_xreal_0 @  (k4_series_1 @ A) ) ) ) , file(series_1, k4_series_1)).
thf(dt_k4_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  ( (m1_subset_1 @  (k4_struct_0 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(struct_0, k4_struct_0)).
thf(dt_k4_tarski, axiom, $true, file(tarski, k4_tarski)).
thf(dt_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(dt_k54_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (v1_relat_1 @  (k54_valued_1 @ A) )  &  ( (v1_funct_1 @  (k54_valued_1 @ A) )  &  (v3_valued_0 @  (k54_valued_1 @ A) ) ) ) ) ) , file(valued_1, k54_valued_1)).
thf(dt_k55_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (v1_funct_1 @  ( ( (k55_valued_1 @ A)  @ B)  @ C) )  &  ( (m1_subset_1 @  ( ( (k55_valued_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k1_numbers) ) ) ) ) ) , file(valued_1, k55_valued_1)).
thf(dt_k5_algstr_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (l2_algstr_0 @ A)  &  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( ( (k5_algstr_0 @ A)  @ B)  @ C) )  @  (u1_struct_0 @ A) ) ) ) , file(algstr_0, k5_algstr_0)).
thf(dt_k5_complex1, axiom,  ( (m1_subset_1 @ k5_complex1)  @ k2_numbers) , file(complex1, k5_complex1)).
thf(dt_k5_csspace, axiom,  ( ~ ( (v2_struct_0 @ k5_csspace) )  &  ( (v1_clvect_1 @ k5_csspace)  &  (l1_clvect_1 @ k5_csspace) ) ) , file(csspace, k5_csspace)).
thf(dt_k5_numbers, axiom,  ( (m1_subset_1 @ k5_numbers)  @ k4_ordinal1) , file(numbers, k5_numbers)).
thf(dt_k5_ordinal1, axiom, $true, file(ordinal1, k5_ordinal1)).
thf(dt_k6_cfuncdom, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  ( ~ ( (v2_struct_0 @  (k6_cfuncdom @ A) ) )  &  ( (v1_clvect_1 @  (k6_cfuncdom @ A) )  &  (l1_clvect_1 @  (k6_cfuncdom @ A) ) ) ) ) ) , file(cfuncdom, k6_cfuncdom)).
thf(dt_k6_csspace, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  (l1_clvect_1 @ A) ) ) ) ) ) ) ) ) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) )  =>  ( (v1_funct_1 @  ( (k6_csspace @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k6_csspace @ A)  @ B) )  @  ( (k2_zfmisc_1 @ B)  @ B) )  @ B)  &  ( (m1_subset_1 @  ( (k6_csspace @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ B) )  @ B) ) ) ) ) ) ) , file(csspace, k6_csspace)).
thf(dt_k6_xcmplx_0, axiom, $true, file(xcmplx_0, k6_xcmplx_0)).
thf(dt_k7_csspace, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  (l1_clvect_1 @ A) ) ) ) ) ) ) ) ) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) )  =>  ( (v1_funct_1 @  ( (k7_csspace @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k7_csspace @ A)  @ B) )  @  ( (k2_zfmisc_1 @ k2_numbers)  @ B) )  @ B)  &  ( (m1_subset_1 @  ( (k7_csspace @ A)  @ B) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ B) )  @ B) ) ) ) ) ) ) , file(csspace, k7_csspace)).
thf(dt_k7_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (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) ) ) ) ) ) ) , file(funcop_1, k7_funcop_1)).
thf(dt_k7_xcmplx_0, axiom, $true, file(xcmplx_0, k7_xcmplx_0)).
thf(dt_k8_csspace, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  (l1_clvect_1 @ A) ) ) ) ) ) ) ) ) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) ) )  =>  ( (m1_subset_1 @  ( (k8_csspace @ A)  @ B) )  @ B) ) ) , file(csspace, k8_csspace)).
thf(dt_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (v1_funct_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  &  ( ( ( (v1_funct_2 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @ B)  @ A)  &  ( (m1_subset_1 @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ B)  @ A) ) ) ) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(dt_k8_nat_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) )  &  (v7_ordinal1 @ C) )  =>  ( (m1_subset_1 @  ( ( (k8_nat_1 @ A)  @ B)  @ C) )  @ A) ) ) , file(nat_1, k8_nat_1)).
thf(dt_k9_complex1, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_xreal_0 @  (k9_complex1 @ A) ) ) ) , file(complex1, k9_complex1)).
thf(dt_k9_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ( ( (m1_funct_2 @  ( (k9_funct_2 @ A)  @ B) )  @ A)  @ B) ) ) , file(funct_2, k9_funct_2)).
thf(dt_k9_xtuple_0, axiom, $true, file(xtuple_0, k9_xtuple_0)).
thf(dt_l1_algstr_0, axiom,  (! [A: $i] :  ( (l1_algstr_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(algstr_0, l1_algstr_0)).
thf(dt_l1_clvect_1, axiom,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  (l2_algstr_0 @ A) ) ) , file(clvect_1, l1_clvect_1)).
thf(dt_l1_normsp_0, axiom,  (! [A: $i] :  ( (l1_normsp_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(normsp_0, l1_normsp_0)).
thf(dt_l1_struct_0, axiom, $true, file(struct_0, l1_struct_0)).
thf(dt_l2_algstr_0, axiom,  (! [A: $i] :  ( (l2_algstr_0 @ A)  =>  ( (l2_struct_0 @ A)  &  (l1_algstr_0 @ A) ) ) ) , file(algstr_0, l2_algstr_0)).
thf(dt_l2_clvect_1, axiom,  (! [A: $i] :  ( (l2_clvect_1 @ A)  =>  ( (l1_clvect_1 @ A)  &  (l2_normsp_0 @ A) ) ) ) , file(clvect_1, l2_clvect_1)).
thf(dt_l2_normsp_0, axiom,  (! [A: $i] :  ( (l2_normsp_0 @ A)  =>  ( (l1_normsp_0 @ A)  &  (l2_struct_0 @ A) ) ) ) , file(normsp_0, l2_normsp_0)).
thf(dt_l2_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  (l1_struct_0 @ A) ) ) , file(struct_0, l2_struct_0)).
thf(dt_m1_funct_2, axiom,  (! [A: $i, B: $i] :  (! [C: $i] :  ( ( ( (m1_funct_2 @ C)  @ A)  @ B)  =>  ~ ( (v1_xboole_0 @ C) ) ) ) ) , file(funct_2, m1_funct_2)).
thf(dt_m1_subset_1, axiom, $true, file(subset_1, m1_subset_1)).
thf(dt_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (! [D: $i] :  ( ( ( ( (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) ) ) ) ) ) ) ) ) , file(funct_2, m2_funct_2)).
thf(dt_u1_algstr_0, axiom,  (! [A: $i] :  ( (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) ) ) ) ) ) ) ) , file(algstr_0, u1_algstr_0)).
thf(dt_u1_clvect_1, axiom,  (! [A: $i] :  ( (l1_clvect_1 @ A)  =>  ( (v1_funct_1 @  (u1_clvect_1 @ A) )  &  ( ( ( (v1_funct_2 @  (u1_clvect_1 @ A) )  @  ( (k2_zfmisc_1 @ k2_numbers)  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @  (u1_clvect_1 @ A) )  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @  (u1_struct_0 @ A) ) )  @  (u1_struct_0 @ A) ) ) ) ) ) ) ) , file(clvect_1, u1_clvect_1)).
thf(dt_u1_normsp_0, axiom,  (! [A: $i] :  ( (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) ) ) ) ) ) ) , file(normsp_0, u1_normsp_0)).
thf(dt_u1_struct_0, axiom, $true, file(struct_0, u1_struct_0)).
thf(dt_u2_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  ( (m1_subset_1 @  (u2_struct_0 @ A) )  @  (u1_struct_0 @ A) ) ) ) , file(struct_0, u2_struct_0)).
thf(existence_l1_algstr_0, axiom,  (? [A: $i] :  (l1_algstr_0 @ A) ) , file(algstr_0, l1_algstr_0)).
thf(existence_l1_clvect_1, axiom,  (? [A: $i] :  (l1_clvect_1 @ A) ) , file(clvect_1, l1_clvect_1)).
thf(existence_l1_normsp_0, axiom,  (? [A: $i] :  (l1_normsp_0 @ A) ) , file(normsp_0, l1_normsp_0)).
thf(existence_l1_struct_0, axiom,  (? [A: $i] :  (l1_struct_0 @ A) ) , file(struct_0, l1_struct_0)).
thf(existence_l2_algstr_0, axiom,  (? [A: $i] :  (l2_algstr_0 @ A) ) , file(algstr_0, l2_algstr_0)).
thf(existence_l2_clvect_1, axiom,  (? [A: $i] :  (l2_clvect_1 @ A) ) , file(clvect_1, l2_clvect_1)).
thf(existence_l2_normsp_0, axiom,  (? [A: $i] :  (l2_normsp_0 @ A) ) , file(normsp_0, l2_normsp_0)).
thf(existence_l2_struct_0, axiom,  (? [A: $i] :  (l2_struct_0 @ A) ) , file(struct_0, l2_struct_0)).
thf(existence_m1_funct_2, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (m1_funct_2 @ C)  @ A)  @ B) ) ) , file(funct_2, m1_funct_2)).
thf(existence_m1_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (m1_subset_1 @ B)  @ A) ) ) , file(subset_1, m1_subset_1)).
thf(existence_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (? [D: $i] :  ( ( ( (m2_funct_2 @ D)  @ A)  @ B)  @ C) ) ) ) , file(funct_2, m2_funct_2)).
thf(fc100_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( (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 @  (k54_valued_1 @ C) )  &  ( (v1_partfun1 @  (k54_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc100_valued_1)).
thf(fc101_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( (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 @  (k54_valued_1 @ C) )  &  ( (v1_partfun1 @  (k54_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc101_valued_1)).
thf(fc108_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v4_relat_1 @ A)  @ k4_ordinal1) )  =>  (v6_membered @  (k9_xtuple_0 @ A) ) ) ) , file(valued_1, fc108_valued_1)).
thf(fc10_funct_2, axiom,  (! [A: $i, B: $i] :  (v4_funct_1 @  ( (k1_funct_2 @ A)  @ B) ) ) , file(funct_2, fc10_funct_2)).
thf(fc10_membered, axiom,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  (v4_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc10_membered)).
thf(fc10_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  ( (v9_struct_0 @  (k4_struct_0 @ A) )  @ A) ) ) , file(struct_0, fc10_struct_0)).
thf(fc10_subset_1, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) )  =>  ~ ( (v1_xboole_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) ) , file(subset_1, fc10_subset_1)).
thf(fc10_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v5_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc10_valued_1)).
thf(fc10_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc10_xreal_0)).
thf(fc111_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ B) )  &  ( ( (v4_relat_1 @  (k30_valued_1 @ B) )  @ A)  &  ( (v1_funct_1 @  (k30_valued_1 @ B) )  &  (v1_valued_0 @  (k30_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc111_valued_1)).
thf(fc114_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  (k54_valued_1 @ B) )  &  ( ( (v4_relat_1 @  (k54_valued_1 @ B) )  @ A)  &  ( (v1_funct_1 @  (k54_valued_1 @ B) )  &  (v3_valued_0 @  (k54_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc114_valued_1)).
thf(fc115_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ B) )  &  ( (v1_funct_1 @  (k30_valued_1 @ B) )  &  ( ( (v1_partfun1 @  (k30_valued_1 @ B) )  @ A)  &  (v1_valued_0 @  (k30_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc115_valued_1)).
thf(fc118_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  =>  ( (v1_relat_1 @  (k54_valued_1 @ B) )  &  ( (v1_funct_1 @  (k54_valued_1 @ B) )  &  ( ( (v1_partfun1 @  (k54_valued_1 @ B) )  @ A)  &  (v3_valued_0 @  (k54_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc118_valued_1)).
thf(fc11_membered, axiom,  (! [A: $i] :  ( (v1_int_1 @ A)  =>  (v5_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc11_membered)).
thf(fc11_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v6_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v6_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc11_valued_1)).
thf(fc11_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc11_xreal_0)).
thf(fc121_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  &  (v1_xcmplx_0 @ C) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( (k24_valued_1 @ B)  @ C) )  @ A)  &  (v1_funct_1 @  ( (k24_valued_1 @ B)  @ C) ) ) ) ) ) , file(valued_1, fc121_valued_1)).
thf(fc124_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  &  (v1_xcmplx_0 @ C) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ B)  @ C) )  &  ( (v1_funct_1 @  ( (k24_valued_1 @ B)  @ C) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ B)  @ C) )  @ A) ) ) ) ) , file(valued_1, fc124_valued_1)).
thf(fc125_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  (v1_valued_0 @ C) ) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  @ A)  &  (v1_funct_1 @  ( (k1_valued_1 @ B)  @ C) ) ) ) ) ) , file(valued_1, fc125_valued_1)).
thf(fc126_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  (v1_valued_0 @ C) ) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ B)  @ C) )  &  ( ( (v4_relat_1 @  ( (k45_valued_1 @ B)  @ C) )  @ A)  &  (v1_funct_1 @  ( (k45_valued_1 @ B)  @ C) ) ) ) ) ) , file(valued_1, fc126_valued_1)).
thf(fc129_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_partfun1 @ C)  @ A)  &  (v1_valued_0 @ C) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ B)  @ C) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ B)  @ C) )  @ A) ) ) ) ) , file(valued_1, fc129_valued_1)).
thf(fc12_membered, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  (v6_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc12_membered)).
thf(fc12_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc12_xreal_0)).
thf(fc130_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v1_valued_0 @ B) ) ) ) )  &  ( (v1_relat_1 @ C)  &  ( ( (v4_relat_1 @ C)  @ A)  &  ( (v1_funct_1 @ C)  &  ( ( (v1_partfun1 @ C)  @ A)  &  (v1_valued_0 @ C) ) ) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ B)  @ C) )  &  ( (v1_funct_1 @  ( (k45_valued_1 @ B)  @ C) )  &  ( (v1_partfun1 @  ( (k45_valued_1 @ B)  @ C) )  @ A) ) ) ) ) , file(valued_1, fc130_valued_1)).
thf(fc13_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc13_xreal_0)).
thf(fc14_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k2_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc14_xreal_0)).
thf(fc15_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v3_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc15_xreal_0)).
thf(fc16_xreal_0, axiom,  (! [A: $i] :  ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  ~ ( (v2_xxreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) ) , file(xreal_0, fc16_xreal_0)).
thf(fc17_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc17_xreal_0)).
thf(fc18_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc18_xreal_0)).
thf(fc19_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc19_xreal_0)).
thf(fc1_clvect_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) ) )  =>  ( ~ ( (v2_struct_0 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) )  &  (v1_clvect_1 @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) ) ) ) ) , file(clvect_1, fc1_clvect_1)).
thf(fc1_csspace, axiom,  ( ~ ( (v2_struct_0 @ k5_csspace) )  &  ( (v13_algstr_0 @ k5_csspace)  &  ( (v2_rlvect_1 @ k5_csspace)  &  ( (v3_rlvect_1 @ k5_csspace)  &  ( (v4_rlvect_1 @ k5_csspace)  &  ( (v1_clvect_1 @ k5_csspace)  &  ( (v2_clvect_1 @ k5_csspace)  &  ( (v3_clvect_1 @ k5_csspace)  &  ( (v4_clvect_1 @ k5_csspace)  &  (v5_clvect_1 @ k5_csspace) ) ) ) ) ) ) ) ) ) , file(csspace, fc1_csspace)).
thf(fc1_csspace3, axiom,  ~ ( (v1_xboole_0 @ k1_csspace3) ) , file(csspace3, fc1_csspace3)).
thf(fc1_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ~ ( (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ B) ) ) ) ) , file(funct_2, fc1_funct_2)).
thf(fc1_membered, axiom,  (v1_membered @ k2_numbers) , file(membered, fc1_membered)).
thf(fc1_numbers, axiom,  ~ ( (v1_xboole_0 @ k1_numbers) ) , file(numbers, fc1_numbers)).
thf(fc1_seq_2, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) )  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k1_valued_1 @ A)  @ B) )  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(seq_2, fc1_seq_2)).
thf(fc1_struct_0, axiom,  (! [A: $i] :  ( ( (v2_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc1_struct_0)).
thf(fc1_subset_1, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, fc1_subset_1)).
thf(fc1_valued_1, axiom,  (! [A: $i] :  ( (v1_rat_1 @ A)  =>  ( (v1_xreal_0 @  (k9_complex1 @ A) )  &  (v1_rat_1 @  (k9_complex1 @ A) ) ) ) ) , file(valued_1, fc1_valued_1)).
thf(fc1_xboole_0, axiom,  (v1_xboole_0 @ k1_xboole_0) , file(xboole_0, fc1_xboole_0)).
thf(fc20_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc20_xreal_0)).
thf(fc21_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v3_xxreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc21_xreal_0)).
thf(fc22_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  (v2_xxreal_0 @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(xreal_0, fc22_xreal_0)).
thf(fc23_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc23_xreal_0)).
thf(fc24_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k3_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc24_xreal_0)).
thf(fc25_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc25_xreal_0)).
thf(fc26_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc26_xreal_0)).
thf(fc2_csspace3, axiom,  ( (v6_clvect_1 @ k1_csspace3)  @ k5_csspace) , file(csspace3, fc2_csspace3)).
thf(fc2_funct_2, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ A) ) ) ) , file(funct_2, fc2_funct_2)).
thf(fc2_numbers, axiom,  ~ ( (v1_xboole_0 @ k2_numbers) ) , file(numbers, fc2_numbers)).
thf(fc2_seq_2, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ B)  @ A) )  &  ( ( ( (v1_funct_2 @  ( (k24_valued_1 @ B)  @ A) )  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @  ( (k24_valued_1 @ B)  @ A) ) ) ) ) ) , file(seq_2, fc2_seq_2)).
thf(fc2_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_xboole_0 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc2_struct_0)).
thf(fc2_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v1_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc2_valued_1)).
thf(fc2_xboole_0, axiom,  (! [A: $i] :  ~ ( (v1_xboole_0 @  (k1_tarski @ A) ) ) ) , file(xboole_0, fc2_xboole_0)).
thf(fc2_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc2_xcmplx_0)).
thf(fc31_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc31_xreal_0)).
thf(fc32_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v2_xxreal_0 @  ( (k7_xcmplx_0 @ B)  @ A) ) ) ) ) , file(xreal_0, fc32_xreal_0)).
thf(fc33_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc33_xreal_0)).
thf(fc34_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v2_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc34_xreal_0)).
thf(fc3_csspace3, axiom,  ( (v13_algstr_0 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v2_rlvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v3_rlvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v4_rlvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v1_clvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v2_clvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v3_clvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  ( (v4_clvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) )  &  (v5_clvect_1 @  ( ( ( (g1_clvect_1 @ k1_csspace3)  @  ( (k8_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k6_csspace @ k5_csspace)  @ k1_csspace3) )  @  ( (k7_csspace @ k5_csspace)  @ k1_csspace3) ) ) ) ) ) ) ) ) ) ) , file(csspace3, fc3_csspace3)).
thf(fc3_funct_2, axiom,  (! [A: $i, B: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  (v1_xboole_0 @ B) )  =>  (v1_xboole_0 @  ( (k1_funct_2 @ A)  @ B) ) ) ) , file(funct_2, fc3_funct_2)).
thf(fc3_membered, axiom,  (v3_membered @ k1_numbers) , file(membered, fc3_membered)).
thf(fc3_numbers, axiom,  ~ ( (v1_xboole_0 @ k3_numbers) ) , file(numbers, fc3_numbers)).
thf(fc3_seq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) )  =>  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  ( ( ( (v1_funct_2 @  (k30_valued_1 @ A) )  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @  (k30_valued_1 @ A) ) ) ) ) ) , file(seq_2, fc3_seq_2)).
thf(fc3_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v3_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v3_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc3_valued_1)).
thf(fc3_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc3_xcmplx_0)).
thf(fc3_xreal_0, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ( (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) )  &  (v1_xreal_0 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(xreal_0, fc3_xreal_0)).
thf(fc44_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) )  &  (v1_valued_0 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc44_valued_1)).
thf(fc45_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  &  (v1_xreal_0 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) )  &  (v3_valued_0 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc45_valued_1)).
thf(fc46_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  &  (v1_rat_1 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  @ k3_numbers)  &  (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc46_valued_1)).
thf(fc47_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  (v1_int_1 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc47_valued_1)).
thf(fc48_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  &  (v7_ordinal1 @ B) )  =>  ( (v1_relat_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) )  &  (v4_valued_0 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc48_valued_1)).
thf(fc49_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_xcmplx_0 @ D) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc49_valued_1)).
thf(fc4_comseq_2, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) )  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k1_valued_1 @ A)  @ B) )  @ k4_ordinal1)  @ k2_numbers)  &  (v2_comseq_2 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(comseq_2, fc4_comseq_2)).
thf(fc4_csspace3, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k1_numbers) ) ) ) ) ) ) ) )  =>  ( ~ ( (v2_struct_0 @  ( ( ( ( (g2_clvect_1 @ A)  @ B)  @ C)  @ D)  @ E) ) )  &  (v7_clvect_1 @  ( ( ( ( (g2_clvect_1 @ A)  @ B)  @ C)  @ D)  @ E) ) ) ) ) , file(csspace3, fc4_csspace3)).
thf(fc4_membered, axiom,  (v4_membered @ k3_numbers) , file(membered, fc4_membered)).
thf(fc4_numbers, axiom,  ~ ( (v1_xboole_0 @ k4_numbers) ) , file(numbers, fc4_numbers)).
thf(fc4_ordinal1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v5_ordinal1 @ A) ) )  =>  (v3_ordinal1 @  (k9_xtuple_0 @ A) ) ) ) , file(ordinal1, fc4_ordinal1)).
thf(fc4_seq_2, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) )  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (v2_comseq_2 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k45_valued_1 @ A)  @ B) )  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(seq_2, fc4_seq_2)).
thf(fc4_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k3_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  @ k3_numbers)  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc4_valued_1)).
thf(fc4_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc4_xcmplx_0)).
thf(fc50_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_xreal_0 @ D) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc50_valued_1)).
thf(fc51_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_rat_1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc51_valued_1)).
thf(fc52_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v1_int_1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc52_valued_1)).
thf(fc53_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v6_membered @ B) )  &  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ A)  @ B)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  (v7_ordinal1 @ D) ) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ C)  @ D) )  &  ( (v1_partfun1 @  ( (k24_valued_1 @ C)  @ D) )  @ A) ) ) ) , file(valued_1, fc53_valued_1)).
thf(fc55_membered, axiom,  (v7_membered @ k2_numbers) , file(membered, fc55_membered)).
thf(fc55_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ A) )  &  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  (v1_valued_0 @  (k30_valued_1 @ A) ) ) ) ) ) , file(valued_1, fc55_valued_1)).
thf(fc56_membered, axiom,  (v7_membered @ k1_numbers) , file(membered, fc56_membered)).
thf(fc56_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ A) )  &  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  ( (v1_valued_0 @  (k30_valued_1 @ A) )  &  (v3_valued_0 @  (k30_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc56_valued_1)).
thf(fc57_membered, axiom,  (v7_membered @ k3_numbers) , file(membered, fc57_membered)).
thf(fc57_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ A) )  &  ( ( (v5_relat_1 @  (k30_valued_1 @ A) )  @ k3_numbers)  &  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  (v1_valued_0 @  (k30_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc57_valued_1)).
thf(fc58_membered, axiom,  (v7_membered @ k4_numbers) , file(membered, fc58_membered)).
thf(fc58_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @  (k30_valued_1 @ A) )  &  ( ( (v5_relat_1 @  (k30_valued_1 @ A) )  @ k4_numbers)  &  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  (v1_valued_0 @  (k30_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc58_valued_1)).
thf(fc59_membered, axiom,  (v7_membered @ k4_ordinal1) , file(membered, fc59_membered)).
thf(fc59_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( (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 @  (k30_valued_1 @ C) )  &  ( (v1_partfun1 @  (k30_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc59_valued_1)).
thf(fc5_comseq_2, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) )  &  (v1_xcmplx_0 @ B) )  =>  ( (v1_funct_1 @  ( (k24_valued_1 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k24_valued_1 @ A)  @ B) )  @ k4_ordinal1)  @ k2_numbers)  &  (v2_comseq_2 @  ( (k24_valued_1 @ A)  @ B) ) ) ) ) ) , file(comseq_2, fc5_comseq_2)).
thf(fc5_csspace3, axiom,  ( ~ ( (v2_struct_0 @ k3_csspace3) )  &  ( (v13_algstr_0 @ k3_csspace3)  &  ( (v2_rlvect_1 @ k3_csspace3)  &  ( (v3_rlvect_1 @ k3_csspace3)  &  ( (v4_rlvect_1 @ k3_csspace3)  &  ( (v3_normsp_0 @ k3_csspace3)  &  ( (v4_normsp_0 @ k3_csspace3)  &  ( (v2_clvect_1 @ k3_csspace3)  &  ( (v3_clvect_1 @ k3_csspace3)  &  ( (v4_clvect_1 @ k3_csspace3)  &  ( (v5_clvect_1 @ k3_csspace3)  &  (v8_clvect_1 @ k3_csspace3) ) ) ) ) ) ) ) ) ) ) ) , file(csspace3, fc5_csspace3)).
thf(fc5_membered, axiom,  (v5_membered @ k4_numbers) , file(membered, fc5_membered)).
thf(fc5_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k4_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc5_valued_1)).
thf(fc5_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  (v1_xcmplx_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xcmplx_0, fc5_xcmplx_0)).
thf(fc5_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc5_xreal_0)).
thf(fc60_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( (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 @  (k30_valued_1 @ C) )  &  ( (v1_partfun1 @  (k30_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc60_valued_1)).
thf(fc61_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  (v1_xcmplx_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc61_valued_0)).
thf(fc61_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( (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 @  (k30_valued_1 @ C) )  &  ( (v1_partfun1 @  (k30_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc61_valued_1)).
thf(fc62_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v2_valued_0 @ A) ) )  =>  (v1_xxreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc62_valued_0)).
thf(fc62_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( (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 @  (k30_valued_1 @ C) )  &  ( (v1_partfun1 @  (k30_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc62_valued_1)).
thf(fc63_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  =>  (v1_xreal_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc63_valued_0)).
thf(fc64_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_rat_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc64_valued_0)).
thf(fc65_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  =>  (v1_int_1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc65_valued_0)).
thf(fc66_valued_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  =>  (v7_ordinal1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) , file(valued_0, fc66_valued_0)).
thf(fc67_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xcmplx_0 @ B)  =>  (v1_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc67_valued_0)).
thf(fc68_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xxreal_0 @ B)  =>  (v2_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc68_valued_0)).
thf(fc69_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_xreal_0 @ B)  =>  (v3_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc69_valued_0)).
thf(fc6_comseq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) )  =>  ( (v1_funct_1 @  (k30_valued_1 @ A) )  &  ( ( ( (v1_funct_2 @  (k30_valued_1 @ A) )  @ k4_ordinal1)  @ k2_numbers)  &  (v2_comseq_2 @  (k30_valued_1 @ A) ) ) ) ) ) , file(comseq_2, fc6_comseq_2)).
thf(fc6_membered, axiom,  (v6_membered @ k4_ordinal1) , file(membered, fc6_membered)).
thf(fc6_numbers, axiom,  ~ ( (v1_finset_1 @ k4_numbers) ) , file(numbers, fc6_numbers)).
thf(fc6_ordinal1, axiom,  ( ~ ( (v1_xboole_0 @ k4_ordinal1) )  &  (v3_ordinal1 @ k4_ordinal1) ) , file(ordinal1, fc6_ordinal1)).
thf(fc6_seq_2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) )  =>  ( (v1_funct_1 @  (k54_valued_1 @ A) )  &  ( ( ( (v1_funct_2 @  (k54_valued_1 @ A) )  @ k4_ordinal1)  @ k1_numbers)  &  (v2_comseq_2 @  (k54_valued_1 @ A) ) ) ) ) ) , file(seq_2, fc6_seq_2)).
thf(fc6_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc6_struct_0)).
thf(fc6_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v4_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k1_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k1_valued_1 @ A)  @ B) )  &  (v4_valued_0 @  ( (k1_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc6_valued_1)).
thf(fc6_xcmplx_0, axiom,  (! [A: $i] :  ( ( ~ ( (v8_ordinal1 @ A) )  &  (v1_xcmplx_0 @ A) )  =>  ( ~ ( (v8_ordinal1 @  (k4_xcmplx_0 @ A) ) )  &  (v1_xcmplx_0 @  (k4_xcmplx_0 @ A) ) ) ) ) , file(xcmplx_0, fc6_xcmplx_0)).
thf(fc6_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc6_xreal_0)).
thf(fc70_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_rat_1 @ B)  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc70_valued_0)).
thf(fc71_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_int_1 @ B)  =>  ( (v5_relat_1 @  ( (k2_funcop_1 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc71_valued_0)).
thf(fc72_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v7_ordinal1 @ B)  =>  (v4_valued_0 @  ( (k2_funcop_1 @ A)  @ B) ) ) ) , file(valued_0, fc72_valued_0)).
thf(fc7_comseq_2, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ A)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) )  &  ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v2_comseq_2 @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( ( ( (v1_funct_2 @  ( (k45_valued_1 @ A)  @ B) )  @ k4_ordinal1)  @ k2_numbers)  &  (v2_comseq_2 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(comseq_2, fc7_comseq_2)).
thf(fc7_membered, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (v1_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc7_membered)).
thf(fc7_numbers, axiom,  ~ ( (v1_finset_1 @ k3_numbers) ) , file(numbers, fc7_numbers)).
thf(fc7_struct_0, axiom,  (! [A: $i] :  ( ( (v7_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_zfmisc_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc7_struct_0)).
thf(fc7_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v1_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc7_valued_1)).
thf(fc7_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc7_xreal_0)).
thf(fc81_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v1_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) )  &  (v1_valued_0 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc81_valued_1)).
thf(fc82_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v3_valued_0 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( (v1_funct_1 @ B)  &  (v3_valued_0 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) )  &  (v3_valued_0 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc82_valued_1)).
thf(fc83_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k3_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  @ k3_numbers)  &  (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc83_valued_1)).
thf(fc84_valued_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  &  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ k4_numbers)  &  (v1_funct_1 @ B) ) ) )  =>  ( (v1_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  &  ( ( (v5_relat_1 @  ( (k45_valued_1 @ A)  @ B) )  @ k4_numbers)  &  (v1_funct_1 @  ( (k45_valued_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, fc84_valued_1)).
thf(fc85_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v1_membered @ B)  =>  (v1_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc85_valued_0)).
thf(fc85_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v1_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k45_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc85_valued_1)).
thf(fc86_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v2_membered @ B)  =>  (v2_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc86_valued_0)).
thf(fc86_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v3_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k45_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc86_valued_1)).
thf(fc87_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v3_membered @ B)  =>  (v3_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc87_valued_0)).
thf(fc87_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v4_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k45_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc87_valued_1)).
thf(fc88_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v4_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k3_numbers) ) ) , file(valued_0, fc88_valued_0)).
thf(fc88_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v5_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v5_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k45_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k45_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc88_valued_1)).
thf(fc89_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v5_membered @ B)  =>  ( (v5_relat_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ k4_numbers) ) ) , file(valued_0, fc89_valued_0)).
thf(fc8_membered, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (v2_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc8_membered)).
thf(fc8_numbers, axiom,  ~ ( (v1_finset_1 @ k1_numbers) ) , file(numbers, fc8_numbers)).
thf(fc8_ordinal1, axiom,  (v7_ordinal1 @ k5_ordinal1) , file(ordinal1, fc8_ordinal1)).
thf(fc8_relset_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) )  @ C) ) )  =>  (v1_relat_1 @  (k9_xtuple_0 @ D) ) ) ) , file(relset_1, fc8_relset_1)).
thf(fc8_struct_0, axiom,  (! [A: $i] :  ( ( (v8_struct_0 @ A)  &  (l1_struct_0 @ A) )  =>  (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) , file(struct_0, fc8_struct_0)).
thf(fc8_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v3_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v3_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc8_valued_1)).
thf(fc8_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v8_ordinal1 @ A) )  &  (v1_xcmplx_0 @ A) )  &  ( ~ ( (v8_ordinal1 @ B) )  &  (v1_xcmplx_0 @ B) ) )  =>  ~ ( (v8_ordinal1 @  ( (k3_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xcmplx_0, fc8_xcmplx_0)).
thf(fc8_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xreal_0 @ A)  &  (v1_xreal_0 @ B) )  =>  (v1_xreal_0 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) , file(xreal_0, fc8_xreal_0)).
thf(fc90_valued_0, axiom,  (! [A: $i, B: $i] :  ( (v6_membered @ B)  =>  (v4_valued_0 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) , file(valued_0, fc90_valued_0)).
thf(fc97_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k3_numbers)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @  (k54_valued_1 @ A) )  &  ( ( (v5_relat_1 @  (k54_valued_1 @ A) )  @ k3_numbers)  &  ( (v1_funct_1 @  (k54_valued_1 @ A) )  &  (v3_valued_0 @  (k54_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc97_valued_1)).
thf(fc98_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( ( (v5_relat_1 @ A)  @ k4_numbers)  &  (v1_funct_1 @ A) ) )  =>  ( (v1_relat_1 @  (k54_valued_1 @ A) )  &  ( (v1_funct_1 @  (k54_valued_1 @ A) )  &  ( (v3_valued_0 @  (k54_valued_1 @ A) )  &  (v4_valued_0 @  (k54_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc98_valued_1)).
thf(fc99_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  &  ( (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 @  (k54_valued_1 @ C) )  &  ( (v1_partfun1 @  (k54_valued_1 @ C) )  @ A) ) ) ) , file(valued_1, fc99_valued_1)).
thf(fc9_membered, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (v3_membered @  (k1_tarski @ A) ) ) ) , file(membered, fc9_membered)).
thf(fc9_numbers, axiom,  ~ ( (v1_finset_1 @ k2_numbers) ) , file(numbers, fc9_numbers)).
thf(fc9_ordinal1, axiom,  (v8_ordinal1 @ k5_ordinal1) , file(ordinal1, fc9_ordinal1)).
thf(fc9_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v8_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  ~ ( (v1_finset_1 @  (u1_struct_0 @ A) ) ) ) ) , file(struct_0, fc9_struct_0)).
thf(fc9_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( ~ ( (v1_xboole_0 @ B) )  &  (v4_membered @ B) )  &  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v4_membered @ C) )  &  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) ) )  =>  ( (v1_funct_1 @  ( (k1_valued_1 @ D)  @ E) )  &  ( (v1_partfun1 @  ( (k1_valued_1 @ D)  @ E) )  @ A) ) ) ) , file(valued_1, fc9_valued_1)).
thf(fc9_xcmplx_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v8_ordinal1 @ A) )  &  (v1_xcmplx_0 @ A) )  &  ( ~ ( (v8_ordinal1 @ B) )  &  (v1_xcmplx_0 @ B) ) )  =>  ~ ( (v8_ordinal1 @  ( (k7_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xcmplx_0, fc9_xcmplx_0)).
thf(fc9_xreal_0, axiom,  (! [A: $i, B: $i] :  ( ( ( ~ ( (v3_xxreal_0 @ A) )  &  (v1_xreal_0 @ A) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  (v1_xreal_0 @ B) ) )  =>  ~ ( (v3_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(xreal_0, fc9_xreal_0)).
thf(free_g1_clvect_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) ) ) )  =>  (! [E: $i, F: $i, G: $i, H: $i] :  ( ( (= @  ( ( ( (g1_clvect_1 @ A)  @ B)  @ C)  @ D) )  @  ( ( ( (g1_clvect_1 @ E)  @ F)  @ G)  @ H) )  =>  ( ( (= @ A)  @ E)  &  ( ( (= @ B)  @ F)  &  ( ( (= @ C)  @ G)  &  ( (= @ D)  @ H) ) ) ) ) ) ) ) , file(clvect_1, g1_clvect_1)).
thf(free_g2_clvect_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( ( (m1_subset_1 @ B)  @ 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 @ k2_numbers)  @ A) )  @ A)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @  ( (k2_zfmisc_1 @ k2_numbers)  @ A) )  @ A) ) ) ) )  &  ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ k1_numbers) ) ) ) ) ) ) )  =>  (! [F: $i, G: $i, H: $i, I: $i, J: $i] :  ( ( (= @  ( ( ( ( (g2_clvect_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( ( ( ( (g2_clvect_1 @ F)  @ G)  @ H)  @ I)  @ J) )  =>  ( ( (= @ A)  @ F)  &  ( ( (= @ B)  @ G)  &  ( ( (= @ C)  @ H)  &  ( ( (= @ D)  @ I)  &  ( (= @ E)  @ J) ) ) ) ) ) ) ) ) , file(clvect_1, g2_clvect_1)).
thf(involutiveness_k30_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (= @  (k30_valued_1 @  (k30_valued_1 @ A) ) )  @ A) ) ) , file(valued_1, k30_valued_1)).
thf(involutiveness_k31_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (= @  ( ( (k31_valued_1 @ A)  @ B)  @  ( ( (k31_valued_1 @ A)  @ B)  @ C) ) )  @ C) ) ) , file(valued_1, k31_valued_1)).
thf(involutiveness_k4_xcmplx_0, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ A) ) )  @ A) ) ) , file(xcmplx_0, k4_xcmplx_0)).
thf(l13_csspace3, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( ( (v2_comseq_2 @ B)  &  (v2_comseq_2 @ C) )  =>  (! [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (! [E: $i] :  ( (v7_ordinal1 @ E)  =>  ( (= @  ( (k1_funct_1 @ D)  @ E) )  @  ( (k2_xcmplx_0 @  (k9_complex1 @  ( (k6_xcmplx_0 @  ( (k1_funct_1 @ B)  @ E) )  @ A) ) )  @  ( (k1_funct_1 @ C)  @ E) ) ) ) )  =>  ( (v2_comseq_2 @ D)  &  ( (= @  (k1_seq_2 @ D) )  @  ( (k2_xcmplx_0 @  (k9_complex1 @  ( (k6_xcmplx_0 @  (k3_comseq_2 @ B) )  @ A) ) )  @  (k1_seq_2 @ C) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(csspace3, l13_csspace3)).
thf(projectivity_k54_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( (= @  (k54_valued_1 @  (k54_valued_1 @ A) ) )  @  (k54_valued_1 @ A) ) ) ) , file(valued_1, k54_valued_1)).
thf(projectivity_k55_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (= @  ( ( (k55_valued_1 @ A)  @ B)  @  ( ( (k55_valued_1 @ A)  @ B)  @ C) ) )  @  ( ( (k55_valued_1 @ A)  @ B)  @ C) ) ) ) , file(valued_1, k55_valued_1)).
thf(projectivity_k9_complex1, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  (k9_complex1 @  (k9_complex1 @ A) ) )  @  (k9_complex1 @ A) ) ) ) , file(complex1, k9_complex1)).
thf(rc10_ordinal1, axiom,  (? [A: $i] :  (v8_ordinal1 @ A) ) , file(ordinal1, rc10_ordinal1)).
thf(rc11_ordinal1, axiom,  (? [A: $i] :  ~ ( (v8_ordinal1 @ A) ) ) , file(ordinal1, rc11_ordinal1)).
thf(rc12_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ~ ( (v10_ordinal1 @ A) ) ) ) , file(ordinal1, rc12_ordinal1)).
thf(rc13_ordinal1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  (v9_ordinal1 @ A) ) ) , file(ordinal1, rc13_ordinal1)).
thf(rc14_ordinal1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ~ ( (v9_ordinal1 @ A) ) ) ) , file(ordinal1, rc14_ordinal1)).
thf(rc17_struct_0, axiom,  (! [A: $i] :  ( (l2_struct_0 @ A)  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ( (v9_struct_0 @ B)  @ A) ) ) ) ) , file(struct_0, rc17_struct_0)).
thf(rc19_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l2_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  &  ~ ( ( (v9_struct_0 @ B)  @ A) ) ) ) ) ) , file(struct_0, rc19_struct_0)).
thf(rc1_clvect_1, axiom,  (? [A: $i] :  ( (l1_clvect_1 @ A)  &  (v1_clvect_1 @ A) ) ) , file(clvect_1, rc1_clvect_1)).
thf(rc1_comseq_2, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) )  &  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( ( (v5_relat_1 @ A)  @ k2_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_partfun1 @ A)  @ k4_ordinal1)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v1_valued_0 @ A)  &  (v1_comseq_2 @ A) ) ) ) ) ) ) ) ) ) ) , file(comseq_2, rc1_comseq_2)).
thf(rc1_funct_2, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (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) ) ) ) ) ) ) ) , file(funct_2, rc1_funct_2)).
thf(rc1_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc1_membered)).
thf(rc1_ordinal1, axiom,  (? [A: $i] :  ( (v1_ordinal1 @ A)  &  (v2_ordinal1 @ A) ) ) , file(ordinal1, rc1_ordinal1)).
thf(rc1_relset_1, axiom,  (! [A: $i, B: $i] :  (? [C: $i] :  ( ( (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) ) ) ) ) ) ) , file(relset_1, rc1_relset_1)).
thf(rc1_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(subset_1, rc1_subset_1)).
thf(rc1_valued_0, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v4_valued_0 @ A) ) ) ) , file(valued_0, rc1_valued_0)).
thf(rc1_xboole_0, axiom,  (? [A: $i] :  (v1_xboole_0 @ A) ) , file(xboole_0, rc1_xboole_0)).
thf(rc1_xcmplx_0, axiom,  (? [A: $i] :  (v1_xcmplx_0 @ A) ) , file(xcmplx_0, rc1_xcmplx_0)).
thf(rc1_xreal_0, axiom,  (? [A: $i] :  (v1_xreal_0 @ A) ) , file(xreal_0, rc1_xreal_0)).
thf(rc20_struct_0, axiom,  (? [A: $i] :  ( (l2_struct_0 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  (v7_struct_0 @ A) ) ) ) , file(struct_0, rc20_struct_0)).
thf(rc21_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc21_struct_0)).
thf(rc22_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v7_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(struct_0, rc22_struct_0)).
thf(rc2_clvect_1, axiom,  (? [A: $i] :  ( (l1_clvect_1 @ A)  &  ~ ( (v2_struct_0 @ A) ) ) ) , file(clvect_1, rc2_clvect_1)).
thf(rc2_comseq_2, axiom,  (? [A: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) )  &  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( ( (v5_relat_1 @ A)  @ k2_numbers)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  ( ( (v1_partfun1 @ A)  @ k4_ordinal1)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (v1_valued_0 @ A)  &  (v2_comseq_2 @ A) ) ) ) ) ) ) ) ) ) ) , file(comseq_2, rc2_comseq_2)).
thf(rc2_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v6_membered @ A) ) ) , file(membered, rc2_membered)).
thf(rc2_ordinal1, axiom,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc2_ordinal1)).
thf(rc2_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  (v1_xboole_0 @ B) ) ) ) , file(subset_1, rc2_subset_1)).
thf(rc2_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( (v1_funct_1 @ A)  &  ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(valued_1, rc2_valued_1)).
thf(rc2_xboole_0, axiom,  (? [A: $i] :  ~ ( (v1_xboole_0 @ A) ) ) , file(xboole_0, rc2_xboole_0)).
thf(rc2_xcmplx_0, axiom,  (? [A: $i] :  (v1_xcmplx_0 @ A) ) , file(xcmplx_0, rc2_xcmplx_0)).
thf(rc2_xreal_0, axiom,  (? [A: $i] :  (v1_xreal_0 @ A) ) , file(xreal_0, rc2_xreal_0)).
thf(rc3_clvect_1, axiom,  (? [A: $i] :  ( (l1_clvect_1 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v1_clvect_1 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  (v5_clvect_1 @ A) ) ) ) ) ) ) ) ) ) ) ) , file(clvect_1, rc3_clvect_1)).
thf(rc3_membered, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v6_membered @ A)  &  (v7_membered @ A) ) ) ) , file(membered, rc3_membered)).
thf(rc3_ordinal1, axiom,  (? [A: $i] :  (v3_ordinal1 @ A) ) , file(ordinal1, rc3_ordinal1)).
thf(rc3_subset_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc3_subset_1)).
thf(rc3_valued_0, axiom,  (? [A: $i] :  ( ( (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) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(valued_0, rc3_valued_0)).
thf(rc3_valued_1, axiom,  (? [A: $i] :  ( (v1_relat_1 @ A)  &  ( ( (v4_relat_1 @ A)  @ k4_ordinal1)  &  ( (v1_funct_1 @ A)  &  ( ~ ( (v1_xboole_0 @ A) )  &  (v1_finset_1 @ A) ) ) ) ) ) , file(valued_1, rc3_valued_1)).
thf(rc3_xcmplx_0, axiom,  (? [A: $i] :  ( (v8_ordinal1 @ A)  &  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc3_xcmplx_0)).
thf(rc3_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v2_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc3_xreal_0)).
thf(rc4_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_ordinal1 @ A)  &  ( (v2_ordinal1 @ A)  &  (v3_ordinal1 @ A) ) ) ) ) , file(ordinal1, rc4_ordinal1)).
thf(rc4_struct_0, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  (u1_struct_0 @ A) ) )  &  ~ ( (v1_xboole_0 @ B) ) ) ) ) ) , file(struct_0, rc4_struct_0)).
thf(rc4_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( (v1_subset_1 @ B)  @ A) ) ) ) ) , file(subset_1, rc4_subset_1)).
thf(rc4_xcmplx_0, axiom,  (? [A: $i] :  ( ~ ( (v8_ordinal1 @ A) )  &  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc4_xcmplx_0)).
thf(rc4_xreal_0, axiom,  (? [A: $i] :  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  ( (v3_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc4_xreal_0)).
thf(rc5_clvect_1, axiom,  (? [A: $i] :  ( (l2_clvect_1 @ A)  &  (v7_clvect_1 @ A) ) ) , file(clvect_1, rc5_clvect_1)).
thf(rc5_ordinal1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v5_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  (v5_ordinal1 @ B) ) ) ) ) ) , file(ordinal1, rc5_ordinal1)).
thf(rc5_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ( ~ ( (v1_xboole_0 @ B) )  &  (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc5_subset_1)).
thf(rc5_valued_1, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( ( (v5_relat_1 @ B)  @ k3_numbers)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  ( (v1_valued_0 @ B)  &  ( (v2_valued_0 @ B)  &  ( (v3_valued_0 @ B)  &  (v4_valued_0 @ B) ) ) ) ) ) ) ) ) ) ) , file(valued_1, rc5_valued_1)).
thf(rc5_xcmplx_0, axiom,  (? [A: $i] :  ( ~ ( (v8_ordinal1 @ A) )  &  (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc5_xcmplx_0)).
thf(rc5_xreal_0, axiom,  (? [A: $i] :  ( (v8_ordinal1 @ A)  &  ( (v1_xcmplx_0 @ A)  &  ( (v1_xxreal_0 @ A)  &  (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc5_xreal_0)).
thf(rc6_clvect_1, axiom,  (? [A: $i] :  ( (l2_clvect_1 @ A)  &  ~ ( (v2_struct_0 @ A) ) ) ) , file(clvect_1, rc6_clvect_1)).
thf(rc6_ordinal1, axiom,  (? [A: $i] :  (v7_ordinal1 @ A) ) , file(ordinal1, rc6_ordinal1)).
thf(rc6_subset_1, axiom,  (! [A: $i] :  ( ~ ( (v1_zfmisc_1 @ A) )  =>  (? [B: $i] :  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ A) )  &  ~ ( (v1_zfmisc_1 @ B) ) ) ) ) ) , file(subset_1, rc6_subset_1)).
thf(rc6_valued_0, axiom,  (! [A: $i] :  (? [B: $i] :  ( (v1_relat_1 @ B)  &  ( ( (v4_relat_1 @ B)  @ A)  &  ( (v1_funct_1 @ B)  &  ( ( (v1_partfun1 @ B)  @ A)  &  (v4_valued_0 @ B) ) ) ) ) ) ) , file(valued_0, rc6_valued_0)).
thf(rc7_clvect_1, axiom,  (? [A: $i] :  ( (l2_clvect_1 @ A)  &  ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v3_normsp_0 @ A)  &  ( (v4_normsp_0 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  ( (v7_clvect_1 @ A)  &  (v8_clvect_1 @ A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(clvect_1, rc7_clvect_1)).
thf(rc7_ordinal1, axiom,  (? [A: $i] :  (v7_ordinal1 @ A) ) , file(ordinal1, rc7_ordinal1)).
thf(rc8_ordinal1, axiom,  (? [A: $i] :  ( ~ ( (v1_xboole_0 @ A) )  &  (v7_ordinal1 @ A) ) ) , file(ordinal1, rc8_ordinal1)).
thf(rc9_ordinal1, axiom,  (? [A: $i] :  (v8_ordinal1 @ A) ) , file(ordinal1, rc9_ordinal1)).
thf(rd1_csspace, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @ k1_csspace)  =>  ( (= @  (k2_csspace @ A) )  @ A) ) ) , file(csspace, rd1_csspace)).
thf(rd3_csspace, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  ( (= @  (k2_csspace @ A) )  @ A) ) ) , file(csspace, rd3_csspace)).
thf(rd4_csspace, axiom,  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k5_csspace) )  =>  ( (= @  (k2_csspace @ A) )  @ A) ) ) , file(csspace, rd4_csspace)).
thf(redefinition_k1_nat_1, axiom,  (! [A: $i, B: $i] :  ( ( (v7_ordinal1 @ A)  &  ( (m1_subset_1 @ B)  @ k4_ordinal1) )  =>  ( (= @  ( (k1_nat_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(nat_1, k1_nat_1)).
thf(redefinition_k1_normsp_0, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v2_struct_0 @ A) )  &  (l1_struct_0 @ A) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @  (u1_struct_0 @ A) ) ) ) ) )  &  (v7_ordinal1 @ C) ) )  =>  ( (= @  ( ( (k1_normsp_0 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @ B)  @ C) ) ) ) , file(normsp_0, k1_normsp_0)).
thf(redefinition_k1_series_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (v1_membered @ A)  &  (v7_membered @ A) ) )  &  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) )  &  ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) ) ) )  =>  ( (= @  ( ( (k1_series_1 @ A)  @ B)  @ C) )  @  ( (k1_valued_1 @ B)  @ C) ) ) ) , file(series_1, k1_series_1)).
thf(redefinition_k25_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( (v1_membered @ B)  &  ( ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  (v1_xcmplx_0 @ D) ) )  =>  ( (= @  ( ( ( (k25_valued_1 @ A)  @ B)  @ C)  @ D) )  @  ( (k24_valued_1 @ C)  @ D) ) ) ) , file(valued_1, k25_valued_1)).
thf(redefinition_k2_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v1_membered @ B)  &  ( (v1_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (= @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( (k1_valued_1 @ D)  @ E) ) ) ) , file(valued_1, k2_valued_1)).
thf(redefinition_k31_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (= @  ( ( (k31_valued_1 @ A)  @ B)  @ C) )  @  (k30_valued_1 @ C) ) ) ) , file(valued_1, k31_valued_1)).
thf(redefinition_k3_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ~ ( (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) ) ) ) , file(funct_2, k3_funct_2)).
thf(redefinition_k3_real_1, axiom,  (! [A: $i, B: $i] :  ( ( ( (m1_subset_1 @ A)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @ k1_numbers) )  =>  ( (= @  ( (k3_real_1 @ A)  @ B) )  @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) , file(real_1, k3_real_1)).
thf(redefinition_k3_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (= @  (k3_series_1 @ A) )  @  (k2_series_1 @ A) ) ) ) , file(series_1, k3_series_1)).
thf(redefinition_k3_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v3_membered @ B)  &  ( (v3_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (= @  ( ( ( ( (k3_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( (k1_valued_1 @ D)  @ E) ) ) ) , file(valued_1, k3_valued_1)).
thf(redefinition_k46_valued_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i, E: $i] :  ( ( (v1_membered @ B)  &  ( (v1_membered @ C)  &  ( ( (v1_funct_1 @ D)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) )  &  ( (v1_funct_1 @ E)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) ) ) )  =>  ( (= @  ( ( ( ( (k46_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @  ( (k45_valued_1 @ D)  @ E) ) ) ) , file(valued_1, k46_valued_1)).
thf(redefinition_k4_binop_1, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (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) ) ) ) )  &  ( ( (m1_subset_1 @ C)  @ A)  &  ( (m1_subset_1 @ D)  @ A) ) )  =>  ( (= @  ( ( ( (k4_binop_1 @ A)  @ B)  @ C)  @ D) )  @  ( ( (k1_binop_1 @ B)  @ C)  @ D) ) ) ) , file(binop_1, k4_binop_1)).
thf(redefinition_k55_valued_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_membered @ B)  &  ( (v1_funct_1 @ C)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  ( (= @  ( ( (k55_valued_1 @ A)  @ B)  @ C) )  @  (k54_valued_1 @ C) ) ) ) , file(valued_1, k55_valued_1)).
thf(redefinition_k5_complex1, axiom,  ( (= @ k5_complex1)  @ k5_ordinal1) , file(complex1, k5_complex1)).
thf(redefinition_k5_numbers, axiom,  ( (= @ k5_numbers)  @ k5_ordinal1) , file(numbers, k5_numbers)).
thf(redefinition_k7_funcop_1, axiom,  (! [A: $i, B: $i] :  ( (= @  ( (k7_funcop_1 @ A)  @ B) )  @  ( (k2_funcop_1 @ A)  @ B) ) ) , file(funcop_1, k7_funcop_1)).
thf(redefinition_k8_funcop_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ A) )  &  ( (m1_subset_1 @ C)  @ A) )  =>  ( (= @  ( ( (k8_funcop_1 @ A)  @ B)  @ C) )  @  ( (k2_funcop_1 @ B)  @ C) ) ) ) , file(funcop_1, k8_funcop_1)).
thf(redefinition_k8_nat_1, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ A)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ A) ) ) ) )  &  (v7_ordinal1 @ C) )  =>  ( (= @  ( ( (k8_nat_1 @ A)  @ B)  @ C) )  @  ( (k1_funct_1 @ B)  @ C) ) ) ) , file(nat_1, k8_nat_1)).
thf(redefinition_k9_funct_2, axiom,  (! [A: $i, B: $i] :  ( ~ ( (v1_xboole_0 @ B) )  =>  ( (= @  ( (k9_funct_2 @ A)  @ B) )  @  ( (k1_funct_2 @ A)  @ B) ) ) ) , file(funct_2, k9_funct_2)).
thf(redefinition_m2_funct_2, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  ( ( (m1_funct_2 @ C)  @ A)  @ B) )  =>  (! [D: $i] :  ( ( ( ( (m2_funct_2 @ D)  @ A)  @ B)  @ C)  <=>  ( (m1_subset_1 @ D)  @ C) ) ) ) ) , file(funct_2, m2_funct_2)).
thf(redefinition_r2_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (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) ) ) ) , file(funct_2, r2_funct_2)).
thf(redefinition_r2_tarski, axiom,  (! [A: $i, B: $i] :  ( ( (r2_tarski @ A)  @ B)  <=>  ( (r2_hidden @ A)  @ B) ) ) , file(tarski, r2_tarski)).
thf(reflexivity_r1_tarski, axiom,  (! [A: $i, B: $i] :  ( (r1_tarski @ A)  @ A) ) , file(tarski, r1_tarski)).
thf(reflexivity_r1_xxreal_0, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xxreal_0 @ A)  &  (v1_xxreal_0 @ B) )  =>  ( (r1_xxreal_0 @ A)  @ A) ) ) , file(xxreal_0, r1_xxreal_0)).
thf(reflexivity_r2_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (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) ) ) , file(funct_2, r2_funct_2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom,  ( (r1_xxreal_0 @ 0)  @ 0) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom,  ( (r1_xxreal_0 @ 0)  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom,  ( (r1_xxreal_0 @ 0)  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ 0)  @  (k4_xcmplx_0 @ 1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ 0)  @  (k4_xcmplx_0 @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rn1d2, axiom,  ( (r1_xxreal_0 @ 0)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r0_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ 0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r0_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ ( ( (r1_xxreal_0 @ 1)  @ 0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom,  ( (r1_xxreal_0 @ 1)  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom,  ( (r1_xxreal_0 @ 1)  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ 1)  @  (k4_xcmplx_0 @ 1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ 1)  @  (k4_xcmplx_0 @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ 1)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r1_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ 1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @ 0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @ 1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom,  ( (r1_xxreal_0 @ 2)  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @  (k4_xcmplx_0 @ 1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @  (k4_xcmplx_0 @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rn1d2, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__r2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @ 2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__r2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @ 0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm1_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @ 0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rm2_rn1d2, axiom,  ( (r1_xxreal_0 @  (k4_xcmplx_0 @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rm2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r0, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 0) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  (k4_xcmplx_0 @ 1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rm2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  (k4_xcmplx_0 @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rm2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rn1d2_rnm1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r0, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 0) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r0)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r1, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 1) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_r2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 2) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_r2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1, axiom,  ~ ( ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  (k4_xcmplx_0 @ 1) ) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rm1)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rn1d2)).
thf(rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2, axiom,  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqLessOrEqual__r1_xxreal_0__rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @ 0) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r0_r0)).
thf(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @ 1) )  @ 1) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @ 2) )  @ 2) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r2_r2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @  (k4_xcmplx_0 @ 1) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @  (k4_xcmplx_0 @ 2) ) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rn1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rnm1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ 1)  @ 0) )  @ 1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)).
thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 1)  @ 1) )  @ 2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 1) ) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm1_r0)).
thf(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)).
thf(rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rnm1d2_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k2_xcmplx_0 @ 2)  @ 0) )  @ 2) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r0_r2)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @ 2)  @  (k4_xcmplx_0 @ 1) ) )  @ 1) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm1_r1)).
thf(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @ 2)  @  (k4_xcmplx_0 @ 2) ) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 0) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r0_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 1) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r1_r0)).
thf(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 1) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_r2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 1) ) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rn1d2_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 0) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r0_rm2)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 1) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r1_rm1)).
thf(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 2) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 0) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  (k4_xcmplx_0 @ 1) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rm1_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 1) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rn1d2_r1)).
thf(rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__rn1d2_rnm1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r0_rnm1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 1) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_r1_rn1d2)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 0) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rn1d2_r0)).
thf(rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1, axiom,  ( (= @  ( (k2_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rnm1d2_rnm1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @ 0) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r0_r0)).
thf(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @ 1) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @ 2) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r2_rm2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @  (k4_xcmplx_0 @ 1) ) )  @ 1) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @  (k4_xcmplx_0 @ 2) ) )  @ 2) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm2_r2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 0)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ 1)  @ 0) )  @ 1) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r0_r1)).
thf(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ 1)  @ 1) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r1_r0)).
thf(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @ 1)  @ 2) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 1) ) )  @ 2) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm1_r2)).
thf(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom,  ( (= @  ( (k6_xcmplx_0 @ 2)  @ 0) )  @ 2) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r0_r2)).
thf(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @ 2)  @ 1) )  @ 1) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r1_r1)).
thf(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @ 2)  @ 2) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 0) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r0_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 1) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_r1_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 1) ) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm1_r0)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 2) ) )  @ 1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 0) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_r0_rm2)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @  (k4_xcmplx_0 @ 1) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @  (k4_xcmplx_0 @ 2) ) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 0) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0)).
thf(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @ 1) , file(arithm, rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 0) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  (k4_xcmplx_0 @ 1) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1)).
thf(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom,  ( (= @  ( (k6_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @ 0) , file(arithm, rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0)).
thf(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @ 1) )  @ 1) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r1_r1)).
thf(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 1) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 2) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2)).
thf(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom,  ( (= @  ( (k7_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k7_xcmplx_0 @ 2)  @ 1) )  @ 2) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r1_r2)).
thf(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom,  ( (= @  ( (k7_xcmplx_0 @ 2)  @ 2) )  @ 1) , file(arithm, rqRealDiv__k7_xcmplx_0__r2_r2_r1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 1) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r1_rm1)).
thf(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2)).
thf(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom,  ( (= @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 2) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealDiv__k7_xcmplx_0__rm2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 0)  @ 0) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 0)  @ 1) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r1_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 0)  @ 2) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 0)  @  (k4_xcmplx_0 @ 2) ) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm2_r0)).
thf(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 0)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rn1d2_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @ 0) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @ 1) )  @ 1) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r1_r1)).
thf(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @ 2) )  @ 2) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r2_r2)).
thf(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @  (k4_xcmplx_0 @ 2) ) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm2_rm2)).
thf(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @ 1)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @ 2)  @ 0) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom,  ( (= @  ( (k3_xcmplx_0 @ 2)  @ 1) )  @ 2) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r1_r2)).
thf(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @ 2)  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @ 1) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rn1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @ 2)  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 0) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @ 1) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r1_rm2)).
thf(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  (k4_xcmplx_0 @ 2) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @ 1) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 0) )  @ 0) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r0_r0)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 1) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @ 2) )  @ 1) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_r2_r1)).
thf(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) )  @  (k4_xcmplx_0 @ 2) ) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 1) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @ 2) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1)).
thf(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom,  ( (= @  ( (k3_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) )  @  (k4_xcmplx_0 @ 2) ) )  @ 1) , file(arithm, rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1)).
thf(rqRealNeg__k4_xcmplx_0__r0_r0, axiom,  ( (= @  (k4_xcmplx_0 @ 0) )  @ 0) , file(arithm, rqRealNeg__k4_xcmplx_0__r0_r0)).
thf(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom,  ( (= @  (k4_xcmplx_0 @ 1) )  @  (k4_xcmplx_0 @ 1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r1_rm1)).
thf(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom,  ( (= @  (k4_xcmplx_0 @ 2) )  @  (k4_xcmplx_0 @ 2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r2_rm2)).
thf(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ 1) ) )  @ 1) , file(arithm, rqRealNeg__k4_xcmplx_0__rm1_r1)).
thf(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom,  ( (= @  (k4_xcmplx_0 @  (k4_xcmplx_0 @ 2) ) )  @ 2) , file(arithm, rqRealNeg__k4_xcmplx_0__rm2_r2)).
thf(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @ 1)  @ 2) ) )  @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2)).
thf(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom,  ( (= @  (k4_xcmplx_0 @  ( (k7_xcmplx_0 @  (k4_xcmplx_0 @ 1) )  @ 2) ) )  @  ( (k7_xcmplx_0 @ 1)  @ 2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2)).
thf(spc0_boole, axiom,  (v1_xboole_0 @ 0) , file(boole, spc0_boole)).
thf(spc0_numerals, axiom,  ( (m1_subset_1 @ 0)  @ k4_ordinal1) , file(numerals, spc0_numerals)).
thf(spc1_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) , file(arithm, spc1_arithm)).
thf(spc1_boole, axiom,  ~ ( (v1_xboole_0 @ 1) ) , file(boole, spc1_boole)).
thf(spc1_numerals, axiom,  ( (v2_xxreal_0 @ 1)  &  ( (m1_subset_1 @ 1)  @ k4_ordinal1) ) , file(numerals, spc1_numerals)).
thf(spc2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  (k4_xcmplx_0 @ 1) ) )  @  (k4_xcmplx_0 @ A) ) ) ) , file(arithm, spc2_arithm)).
thf(spc2_boole, axiom,  ~ ( (v1_xboole_0 @ 2) ) , file(boole, spc2_boole)).
thf(spc2_numerals, axiom,  ( (v2_xxreal_0 @ 2)  &  ( (m1_subset_1 @ 2)  @ k4_ordinal1) ) , file(numerals, spc2_numerals)).
thf(spc4_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @  ( (k7_xcmplx_0 @ B)  @ C) ) )  @  ( (k7_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ B) )  @ C) ) ) ) , file(arithm, spc4_arithm)).
thf(spc5_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k3_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) )  @ C) )  @  ( (k2_xcmplx_0 @  ( (k3_xcmplx_0 @ A)  @ C) )  @  ( (k3_xcmplx_0 @ B)  @ C) ) ) ) ) , file(arithm, spc5_arithm)).
thf(spc6_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (v1_xcmplx_0 @ A)  &  ( (v1_xcmplx_0 @ B)  &  (v1_xcmplx_0 @ C) ) )  =>  ( (= @  ( (k2_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) )  @ C) )  @  ( (k2_xcmplx_0 @ A)  @  ( (k2_xcmplx_0 @ B)  @ C) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc7_arithm, axiom,  (! [A: $i, B: $i, C: $i] :  ( ( (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) ) ) ) ) , file(arithm, spc6_arithm)).
thf(spc8_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k2_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  (k4_xcmplx_0 @  ( (k2_xcmplx_0 @ A)  @ B) ) ) ) ) , file(arithm, spc8_arithm)).
thf(spc9_arithm, axiom,  (! [A: $i, B: $i] :  ( ( (v1_xcmplx_0 @ A)  &  (v1_xcmplx_0 @ B) )  =>  ( (= @  ( (k6_xcmplx_0 @  (k4_xcmplx_0 @ A) )  @  (k4_xcmplx_0 @ B) ) )  @  ( (k6_xcmplx_0 @ B)  @ A) ) ) ) , file(arithm, spc9_arithm)).
thf(symmetry_r2_funct_2, axiom,  (! [A: $i, B: $i, C: $i, D: $i] :  ( ( ( (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) ) ) ) , file(funct_2, r2_funct_2)).
thf(t103_clvect_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v3_normsp_0 @ A)  &  ( (v4_normsp_0 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  ( (v8_clvect_1 @ A)  &  (l2_clvect_1 @ A) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( (k2_normsp_0 @ A)  @  ( (k4_algstr_0 @ A)  @ B) ) )  @  ( (k2_normsp_0 @ A)  @ B) ) ) ) ) ) , file(clvect_1, t103_clvect_1)).
thf(t17_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @ k5_numbers)  @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ B) ) ) )  =>  ( (v1_seq_2 @  (k3_series_1 @ A) )  <=>  (v1_series_1 @ A) ) ) ) ) , file(series_1, t17_series_1)).
thf(t18_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  (! [B: $i] :  ( (= @  ( (k1_funct_1 @  (k54_valued_1 @ A) )  @ B) )  @  (k9_complex1 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) ) , file(valued_1, t18_valued_1)).
thf(t1_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k2_xcmplx_0 @ A)  @ k5_numbers) )  @ A) ) ) , file(arithm, t1_arithm)).
thf(t1_csspace3, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( ( (v2_comseq_2 @ B)  &  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  ( (= @  ( (k1_funct_1 @ C)  @ D) )  @  (k9_complex1 @  ( (k6_xcmplx_0 @  ( (k1_funct_1 @ B)  @ D) )  @ A) ) ) ) ) )  =>  ( (v2_comseq_2 @ C)  &  ( (= @  (k1_seq_2 @ C) )  @  (k9_complex1 @  ( (k6_xcmplx_0 @  (k3_comseq_2 @ B) )  @ A) ) ) ) ) ) ) ) ) ) ) , file(csspace3, t1_csspace3)).
thf(t1_numerals, axiom,  ( (m1_subset_1 @ k1_xboole_0)  @ k4_ordinal1) , file(numerals, t1_numerals)).
thf(t1_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v2_xxreal_0 @ A) )  =>  (v2_xxreal_0 @ B) ) ) ) ) ) , file(real, t1_real)).
thf(t1_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (r2_tarski @ A)  @ B)  =>  ( (m1_subset_1 @ A)  @ B) ) ) ) , file(subset, t1_subset)).
thf(t1_valued_1, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( ~ ( (v1_xboole_0 @ B) )  &  (v1_membered @ B) )  =>  (! [C: $i] :  ( ( ~ ( (v1_xboole_0 @ C) )  &  (v1_membered @ C) )  =>  (! [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ A)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ B) ) ) ) )  =>  (! [E: $i] :  ( ( (v1_funct_1 @ E)  &  ( ( ( (v1_funct_2 @ E)  @ A)  @ C)  &  ( (m1_subset_1 @ E)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ A)  @ C) ) ) ) )  =>  (! [F: $i] :  ( ( (m1_subset_1 @ F)  @ A)  =>  ( (= @  ( (k1_funct_1 @  ( ( ( ( (k2_valued_1 @ A)  @ B)  @ C)  @ D)  @ E) )  @ F) )  @  ( (k2_xcmplx_0 @  ( (k1_funct_1 @ D)  @ F) )  @  ( (k1_funct_1 @ E)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(valued_1, t1_valued_1)).
thf(t20_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( ( (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  ( ( (r1_xxreal_0 @ k5_numbers)  @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ C) )  &  ( (r1_xxreal_0 @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ C) )  @  ( ( (k8_nat_1 @ k1_numbers)  @ B)  @ C) ) ) ) )  &  (v1_series_1 @ B) )  =>  ( (v1_series_1 @ A)  &  ( (r1_xxreal_0 @  (k4_series_1 @ A) )  @  (k4_series_1 @ B) ) ) ) ) ) ) ) , file(series_1, t20_series_1)).
thf(t215_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ k5_numbers) )  &  ( (r1_xxreal_0 @  ( (k7_xcmplx_0 @ A)  @ 2) )  @ k5_numbers) ) ) ) ) , file(xreal_1, t215_xreal_1)).
thf(t216_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ k5_numbers) )  &  ( (r1_xxreal_0 @ A)  @  ( (k7_xcmplx_0 @ A)  @ 2) ) ) ) ) ) , file(xreal_1, t216_xreal_1)).
thf(t2_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ A)  @ k5_numbers) )  @ k5_numbers) ) ) , file(arithm, t2_arithm)).
thf(t2_nat_1, axiom,  (! [A: $i] :  ( (v7_ordinal1 @ A)  =>  ( (r1_xxreal_0 @ k5_numbers)  @ A) ) ) , file(nat_1, t2_nat_1)).
thf(t2_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  (v3_xxreal_0 @ B) )  =>  (v3_xxreal_0 @ A) ) ) ) ) ) , file(real, t2_real)).
thf(t2_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @ B)  =>  ( (v1_xboole_0 @ B)  |  ( (r2_tarski @ A)  @ B) ) ) ) ) , file(subset, t2_subset)).
thf(t2_xxreal_0, axiom,  (! [A: $i] :  ( (v1_xxreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xxreal_0 @ B)  =>  (! [C: $i] :  ( (v1_xxreal_0 @ C)  =>  ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( (r1_xxreal_0 @ B)  @ C) )  =>  ( (r1_xxreal_0 @ A)  @ C) ) ) ) ) ) ) ) , file(xxreal_0, t2_xxreal_0)).
thf(t33_rlvect_1, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  (l2_algstr_0 @ A) ) ) ) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ A) )  =>  (! [C: $i] :  ( ( (m1_subset_1 @ C)  @  (u1_struct_0 @ A) )  =>  ( (= @  ( (k4_algstr_0 @ A)  @  ( ( (k5_algstr_0 @ A)  @ B)  @ C) ) )  @  ( ( (k1_algstr_0 @ A)  @ C)  @  ( (k4_algstr_0 @ A)  @ B) ) ) ) ) ) ) ) ) , file(rlvect_1, t33_rlvect_1)).
thf(t3_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k3_xcmplx_0 @ 1)  @ A) )  @ A) ) ) , file(arithm, t3_arithm)).
thf(t3_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v3_xxreal_0 @ A) )  &  (v3_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t3_real)).
thf(t3_rsspace2, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @ k5_numbers)  @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ B) ) ) )  =>  ( (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @ k5_numbers)  @  ( ( (k8_nat_1 @ k1_numbers)  @  (k3_series_1 @ A) )  @ B) ) ) )  &  ( (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ B) )  @  ( ( (k8_nat_1 @ k1_numbers)  @  (k3_series_1 @ A) )  @ B) ) ) )  &  ( (v1_series_1 @ A)  =>  ( (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @  ( ( (k8_nat_1 @ k1_numbers)  @  (k3_series_1 @ A) )  @ B) )  @  (k4_series_1 @ A) ) ) )  &  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (r1_xxreal_0 @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ B) )  @  (k4_series_1 @ A) ) ) ) ) ) ) ) ) ) ) , file(rsspace2, t3_rsspace2)).
thf(t3_subset, axiom,  (! [A: $i] :  (! [B: $i] :  ( ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @ B) )  <=>  ( (r1_tarski @ A)  @ B) ) ) ) , file(subset, t3_subset)).
thf(t46_complex1, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (r1_xxreal_0 @ k5_numbers)  @  (k9_complex1 @ A) ) ) ) , file(complex1, t46_complex1)).
thf(t46_comseq_3, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  =>  ( (v2_comseq_2 @ A)  <=>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ B)  @ k5_numbers) )  &  (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  (? [D: $i] :  ( (v7_ordinal1 @ D)  &  ( ( (r1_xxreal_0 @ C)  @ D)  &  ( (r1_xxreal_0 @ B)  @  (k9_complex1 @  ( (k6_xcmplx_0 @  ( ( (k8_nat_1 @ k2_numbers)  @ A)  @ D) )  @  ( ( (k8_nat_1 @ k2_numbers)  @ A)  @ C) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(comseq_3, t46_comseq_3)).
thf(t4_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k6_xcmplx_0 @ A)  @ k5_numbers) )  @ A) ) ) , file(arithm, t4_arithm)).
thf(t4_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ( (r1_xxreal_0 @ A)  @ B)  &  ( ~ ( (v2_xxreal_0 @ B) )  &  (v2_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t4_real)).
thf(t4_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( ( (r2_tarski @ A)  @ B)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) ) )  =>  ( (m1_subset_1 @ A)  @ C) ) ) ) ) , file(subset, t4_subset)).
thf(t59_complex1, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( (v1_xcmplx_0 @ B)  =>  ( (r1_xxreal_0 @  ( (k6_xcmplx_0 @  (k9_complex1 @ A) )  @  (k9_complex1 @ B) ) )  @  (k9_complex1 @  ( (k6_xcmplx_0 @ A)  @ B) ) ) ) ) ) ) , file(complex1, t59_complex1)).
thf(t5_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ k5_numbers)  @ A) )  @ k5_numbers) ) ) , file(arithm, t5_arithm)).
thf(t5_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v8_ordinal1 @ B)  |  ( (v3_xxreal_0 @ A)  |  (v2_xxreal_0 @ B) ) ) ) ) ) ) ) , file(real, t5_real)).
thf(t5_rsspace2, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( (v2_comseq_2 @ B)  =>  ( (! [C: $i] :  ( (v7_ordinal1 @ C)  =>  (? [D: $i] :  ( (v7_ordinal1 @ D)  &  ( ( (r1_xxreal_0 @ C)  @ D)  &  ~ ( ( (r1_xxreal_0 @  ( ( (k8_nat_1 @ k1_numbers)  @ B)  @ D) )  @ A) ) ) ) ) ) )  |  ( (r1_xxreal_0 @  (k1_seq_2 @ B) )  @ A) ) ) ) ) ) ) , file(rsspace2, t5_rsspace2)).
thf(t5_subset, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ~ ( ( ( (r2_tarski @ A)  @ B)  &  ( ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @ C) )  &  (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)).
thf(t6_arithm, axiom,  (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  ( (= @  ( (k7_xcmplx_0 @ A)  @ 1) )  @ A) ) ) , file(arithm, t6_arithm)).
thf(t6_boole, axiom,  (! [A: $i] :  ( (v1_xboole_0 @ A)  =>  ( (= @ A)  @ k1_xboole_0) ) ) , file(boole, t6_boole)).
thf(t6_csspace3, axiom,  ( ( (= @  (u1_struct_0 @ k3_csspace3) )  @ k1_csspace3)  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  <=>  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  &  (v2_comseq_3 @  (k2_csspace @ A) ) ) ) )  &  ( ( (= @  (k4_struct_0 @ k3_csspace3) )  @ k4_csspace)  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( (= @ A)  @  (k2_csspace @ A) ) ) )  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( (= @  ( ( (k1_algstr_0 @ k3_csspace3)  @ A)  @ B) )  @  ( ( (k1_series_1 @ k2_numbers)  @  (k2_csspace @ A) )  @  (k2_csspace @ B) ) ) ) ) ) )  &  ( (! [A: $i] :  ( (v1_xcmplx_0 @ A)  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( (= @  ( ( (k1_clvect_1 @ k3_csspace3)  @ B)  @ A) )  @  ( ( ( (k25_valued_1 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @ B) )  @ A) ) ) ) ) )  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( ( (= @  ( (k4_algstr_0 @ k3_csspace3)  @ A) )  @  ( ( (k31_valued_1 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @ A) ) )  &  ( ( ( (r2_funct_2 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @  ( (k4_algstr_0 @ k3_csspace3)  @ A) ) )  @  ( ( (k31_valued_1 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @ A) ) ) ) ) )  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  (! [B: $i] :  ( ( (m1_subset_1 @ B)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( (= @  ( ( (k5_algstr_0 @ k3_csspace3)  @ A)  @ B) )  @  ( ( ( ( (k46_valued_1 @ k4_ordinal1)  @ k2_numbers)  @ k2_numbers)  @  (k2_csspace @ A) )  @  (k2_csspace @ B) ) ) ) ) ) )  &  ( (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  (v2_comseq_3 @  (k2_csspace @ A) ) ) )  &  (! [A: $i] :  ( ( (m1_subset_1 @ A)  @  (u1_struct_0 @ k3_csspace3) )  =>  ( (= @  ( (k2_normsp_0 @ k3_csspace3)  @ A) )  @  (k4_series_1 @  ( ( (k55_valued_1 @ k4_ordinal1)  @ k2_numbers)  @  (k2_csspace @ A) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(csspace3, t6_csspace3)).
thf(t6_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  =>  ( (v8_ordinal1 @ A)  |  ( (v2_xxreal_0 @ B)  |  (v3_xxreal_0 @ A) ) ) ) ) ) ) ) , file(real, t6_real)).
thf(t6_xreal_1, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  (! [C: $i] :  ( (v1_xreal_0 @ C)  =>  ( ( (r1_xxreal_0 @ A)  @ B)  <=>  ( (r1_xxreal_0 @  ( (k2_xcmplx_0 @ A)  @ C) )  @  ( (k2_xcmplx_0 @ B)  @ C) ) ) ) ) ) ) ) ) , file(xreal_1, t6_xreal_1)).
thf(t7_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( ( (r2_tarski @ A)  @ B)  &  (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)).
thf(t7_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v2_xxreal_0 @ A) )  &  ~ ( (v3_xxreal_0 @ B) ) ) ) ) ) ) ) ) , file(real, t7_real)).
thf(t7_seq_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (! [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( ( ( ( (r2_funct_2 @ k4_ordinal1)  @ k1_numbers)  @ A)  @  ( ( ( ( (k3_valued_1 @ k4_ordinal1)  @ k1_numbers)  @ k1_numbers)  @ B)  @ C) )  <=>  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  ( (= @  ( ( (k8_nat_1 @ k1_numbers)  @ A)  @ D) )  @  ( (k3_real_1 @  ( ( (k8_nat_1 @ k1_numbers)  @ B)  @ D) )  @  ( ( (k8_nat_1 @ k1_numbers)  @ C)  @ D) ) ) ) ) ) ) ) ) ) ) ) , file(seq_1, t7_seq_1)).
thf(t7_series_1, axiom,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  =>  ( ( (v1_series_1 @ A)  &  (v1_series_1 @ B) )  =>  ( (v1_series_1 @  ( ( (k1_series_1 @ k1_numbers)  @ A)  @ B) )  &  ( (= @  (k4_series_1 @  ( ( (k1_series_1 @ k1_numbers)  @ A)  @ B) ) )  @  ( (k2_xcmplx_0 @  (k4_series_1 @ A) )  @  (k4_series_1 @ B) ) ) ) ) ) ) ) ) , file(series_1, t7_series_1)).
thf(t8_boole, axiom,  (! [A: $i] :  (! [B: $i] :  ~ ( ( (v1_xboole_0 @ A)  &  ( ~ ( ( (= @ A)  @ B) )  &  (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)).
thf(t8_csspace3, axiom,  (! [A: $i] :  ( ( ~ ( (v2_struct_0 @ A) )  &  ( (v13_algstr_0 @ A)  &  ( (v2_rlvect_1 @ A)  &  ( (v3_rlvect_1 @ A)  &  ( (v4_rlvect_1 @ A)  &  ( (v3_normsp_0 @ A)  &  ( (v4_normsp_0 @ A)  &  ( (v2_clvect_1 @ A)  &  ( (v3_clvect_1 @ A)  &  ( (v4_clvect_1 @ A)  &  ( (v5_clvect_1 @ A)  &  ( (v8_clvect_1 @ A)  &  (l2_clvect_1 @ A) ) ) ) ) ) ) ) ) ) ) ) )  =>  (! [B: $i] :  ( ( (v1_funct_1 @ B)  &  ( ( ( (v1_funct_2 @ B)  @ k4_ordinal1)  @  (u1_struct_0 @ A) )  &  ( (m1_subset_1 @ B)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @  (u1_struct_0 @ A) ) ) ) ) )  =>  ( ( (v1_csspace3 @ B)  @ A)  <=>  (! [C: $i] :  ( (v1_xreal_0 @ C)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ C)  @ k5_numbers) )  &  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  (? [E: $i] :  ( (v7_ordinal1 @ E)  &  (? [F: $i] :  ( (v7_ordinal1 @ F)  &  ( ( (r1_xxreal_0 @ D)  @ E)  &  ( ( (r1_xxreal_0 @ D)  @ F)  &  ( (r1_xxreal_0 @ C)  @  ( (k2_normsp_0 @ A)  @  ( ( (k5_algstr_0 @ A)  @  ( ( (k1_normsp_0 @ A)  @ B)  @ E) )  @  ( ( (k1_normsp_0 @ A)  @ B)  @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(csspace3, t8_csspace3)).
thf(t8_funct_2, axiom,  (! [A: $i] :  (! [B: $i] :  (! [C: $i] :  ( ( (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) ) ) ) ) ) ) , file(funct_2, t8_funct_2)).
thf(t8_real, axiom,  (! [A: $i] :  ( (v1_xreal_0 @ A)  =>  (! [B: $i] :  ( (v1_xreal_0 @ B)  =>  ~ ( ( ~ ( ( (r1_xxreal_0 @ A)  @ B) )  &  ( ~ ( (v3_xxreal_0 @ B) )  &  ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) ) ) ) , file(real, t8_real)).
thf(t8_valued_1, axiom,  (! [A: $i] :  ( ( (v1_relat_1 @ A)  &  ( (v1_funct_1 @ A)  &  (v1_valued_0 @ A) ) )  =>  ( ( (= @  (k9_xtuple_0 @  (k30_valued_1 @ A) ) )  @  (k9_xtuple_0 @ A) )  &  (! [B: $i] :  ( (= @  ( (k1_funct_1 @  (k30_valued_1 @ A) )  @ B) )  @  (k4_xcmplx_0 @  ( (k1_funct_1 @ A)  @ B) ) ) ) ) ) ) , file(valued_1, t8_valued_1)).
thf(s1_comseq_1, axiom,  (! [A: $i > $i] :  ( (! [B: $i] :  (v1_xcmplx_0 @  (A @ B) ) )  =>  (? [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ k2_numbers)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k2_numbers) ) ) ) )  &  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  ( (= @  ( ( (k8_nat_1 @ k2_numbers)  @ C)  @ D) )  @  (A @ D) ) ) ) ) ) ) ) , file(comseq_1, s1_comseq_1)).
thf(s1_funct_2, axiom,  (! [A: $i > $i > $o] :  (! [B: $i] :  (! [C: $i] :  ( (! [D: $i] :  ~ ( ( ( (r2_hidden @ D)  @ C)  &  (! [E: $i] :  ~ ( ( ( (r2_hidden @ E)  @ B)  &  ( (A @ D)  @ E) ) ) ) ) ) )  =>  (? [D: $i] :  ( ( (v1_funct_1 @ D)  &  ( ( ( (v1_funct_2 @ D)  @ C)  @ B)  &  ( (m1_subset_1 @ D)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ C)  @ B) ) ) ) )  &  (! [E: $i] :  ( ( (r2_hidden @ E)  @ C)  =>  ( (A @ E)  @  ( (k1_funct_1 @ D)  @ E) ) ) ) ) ) ) ) ) ) , file(funct_2, s1_funct_2)).
thf(s1_seq_1, axiom,  (! [A: $i > $i] :  ( (! [B: $i] :  (v1_xreal_0 @  (A @ B) ) )  =>  (? [C: $i] :  ( ( (v1_funct_1 @ C)  &  ( ( ( (v1_funct_2 @ C)  @ k4_ordinal1)  @ k1_numbers)  &  ( (m1_subset_1 @ C)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @ k1_numbers) ) ) ) )  &  (! [D: $i] :  ( (v7_ordinal1 @ D)  =>  ( (= @  ( ( (k8_nat_1 @ k1_numbers)  @ C)  @ D) )  @  (A @ D) ) ) ) ) ) ) ) , file(seq_1, s1_seq_1)).
thf(s2_nat_1, axiom,  (! [A: $i > $o] :  ( ( (A @ k5_numbers)  &  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  ( (A @ B)  =>  (A @  ( (k1_nat_1 @ B)  @ 1) ) ) ) ) )  =>  (! [B: $i] :  ( (v7_ordinal1 @ B)  =>  (A @ B) ) ) ) ) , file(nat_1, s2_nat_1)).
thf(t9_csspace3, conjecture,  (! [A: $i] :  ( ( (v1_funct_1 @ A)  &  ( ( ( (v1_funct_2 @ A)  @ k4_ordinal1)  @  (u1_struct_0 @ k3_csspace3) )  &  ( (m1_subset_1 @ A)  @  (k1_zfmisc_1 @  ( (k2_zfmisc_1 @ k4_ordinal1)  @  (u1_struct_0 @ k3_csspace3) ) ) ) ) )  =>  ( ( (v1_csspace3 @ A)  @ k3_csspace3)  =>  ( (v9_clvect_1 @ A)  @ k3_csspace3) ) ) ) , file(csspace3, t9_csspace3)).