% Mizar problem: t32_cfdiff_1,cfdiff_1,1978,5 include('Axioms/SET010^0.ax'). thf(n0_type, type, np__0: $i). thf(n1_type, type, np__1: $i). thf(n2_type, type, np__2: $i). thf(c2_type, type, c2__cfdiff_1: $i). thf(k10_funct_2_type, type, k10_funct_2: $i > $i > $i > $i > $i). thf(k10_xtuple_0_type, type, k10_xtuple_0: $i > $i). thf(k11_complex1_type, type, k11_complex1: $i > $i > $i). thf(k18_valued_1_type, type, k18_valued_1: $i > $i > $i). thf(k19_valued_1_type, type, k19_valued_1: $i > $i > $i > $i > $i > $i). thf(k1_complex1_type, type, k1_complex1: $i > $i). thf(k1_funct_1_type, type, k1_funct_1: $i > $i > $i). thf(k1_numbers_type, type, k1_numbers: $i). thf(k1_relset_1_type, type, k1_relset_1: $i > $i > $i). thf(k1_tarski_type, type, k1_tarski: $i > $i). thf(k1_xboole_0_type, type, k1_xboole_0: $i). thf(k1_xcmplx_0_type, type, k1_xcmplx_0: $i). thf(k1_zfmisc_1_type, type, k1_zfmisc_1: $i > $i). thf(k2_cfdiff_1_type, type, k2_cfdiff_1: $i > $i > $i). thf(k2_complex1_type, type, k2_complex1: $i > $i). thf(k2_funcop_1_type, type, k2_funcop_1: $i > $i > $i). thf(k2_numbers_type, type, k2_numbers: $i). thf(k2_partfun1_type, type, k2_partfun1: $i > $i > $i > $i > $i). thf(k2_relset_1_type, type, k2_relset_1: $i > $i > $i). thf(k2_tarski_type, type, k2_tarski: $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(k35_valued_1_type, type, k35_valued_1: $i > $i). thf(k36_valued_1_type, type, k36_valued_1: $i > $i > $i > $i). thf(k3_cfdiff_1_type, type, k3_cfdiff_1: $i > $i > $i). thf(k3_complex1_type, type, k3_complex1: $i > $i). thf(k3_comseq_2_type, type, k3_comseq_2: $i > $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_xboole_0_type, type, k3_xboole_0: $i > $i > $i). thf(k3_xcmplx_0_type, type, k3_xcmplx_0: $i > $i > $i). thf(k4_complex1_type, type, k4_complex1: $i > $i). thf(k4_funct_4_type, type, k4_funct_4: $i > $i > $i > $i > $i). thf(k4_numbers_type, type, k4_numbers: $i). thf(k4_ordinal1_type, type, k4_ordinal1: $i). thf(k4_xcmplx_0_type, type, k4_xcmplx_0: $i > $i). thf(k5_complex1_type, type, k5_complex1: $i). thf(k5_funct_4_type, type, k5_funct_4: $i > $i > $i > $i > $i > $i). thf(k5_numbers_type, type, k5_numbers: $i). thf(k5_relat_1_type, type, k5_relat_1: $i > $i > $i). thf(k5_relset_1_type, type, k5_relset_1: $i > $i > $i > $i > $i). thf(k6_complex1_type, type, k6_complex1: $i). thf(k6_numbers_type, type, k6_numbers: $i). thf(k6_xcmplx_0_type, type, k6_xcmplx_0: $i > $i > $i). thf(k7_complex1_type, type, k7_complex1: $i). thf(k7_partfun1_type, type, k7_partfun1: $i > $i > $i > $i). thf(k7_real_1_type, type, k7_real_1: $i > $i > $i). thf(k8_complex1_type, type, k8_complex1: $i > $i > $i). thf(k8_funcop_1_type, type, k8_funcop_1: $i > $i > $i > $i). thf(k8_funct_2_type, type, k8_funct_2: $i > $i > $i > $i > $i > $i). thf(k8_nat_1_type, type, k8_nat_1: $i > $i > $i > $i). thf(k8_real_1_type, type, k8_real_1: $i > $i > $i). thf(k9_complex1_type, type, k9_complex1: $i > $i > $i). thf(k9_real_1_type, type, k9_real_1: $i > $i > $i). thf(k9_subset_1_type, type, k9_subset_1: $i > $i > $i > $i). thf(k9_xtuple_0_type, type, k9_xtuple_0: $i > $i). thf(m1_cfdiff_1_type, type, m1_cfdiff_1: $i > $i > $o). thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o). thf(m2_subset_1_type, type, m2_subset_1: $i > $i > $i > $o). thf(r1_cfdiff_1_type, type, r1_cfdiff_1: $i > $i > $o). thf(r1_tarski_type, type, r1_tarski: $i > $i > $o). thf(r2_cfdiff_1_type, type, r2_cfdiff_1: $i > $i > $o). thf(v1_cfdiff_1_type, type, v1_cfdiff_1: $i > $i > $o). thf(v1_comseq_2_type, type, v1_comseq_2: $i > $o). thf(v1_finset_1_type, type, v1_finset_1: $i > $o). thf(v1_funcop_1_type, type, v1_funcop_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_setfam_1_type, type, v1_setfam_1: $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_cfdiff_1_type, type, v2_cfdiff_1: $i > $o). thf(v2_comseq_2_type, type, v2_comseq_2: $i > $o). thf(v2_funcop_1_type, type, v2_funcop_1: $i > $o). thf(v2_funct_1_type, type, v2_funct_1: $i > $o). thf(v2_membered_type, type, v2_membered: $i > $o). thf(v2_ordinal1_type, type, v2_ordinal1: $i > $o). thf(v2_relat_1_type, type, v2_relat_1: $i > $o). thf(v2_seq_2_type, type, v2_seq_2: $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_cfdiff_1_type, type, v3_cfdiff_1: $i > $o). thf(v3_funct_1_type, type, v3_funct_1: $i > $o). thf(v3_membered_type, type, v3_membered: $i > $o). thf(v3_ordinal1_type, type, v3_ordinal1: $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_funct_1_type, type, v4_funct_1: $i > $o). thf(v4_membered_type, type, v4_membered: $i > $o). thf(v4_relat_1_type, type, v4_relat_1: $i > $i > $o). thf(v4_valued_0_type, type, v4_valued_0: $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_cfdiff_1_type, type, v6_cfdiff_1: $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_membered_type, type, v7_membered: $i > $o). thf(v7_ordinal1_type, type, v7_ordinal1: $i > $o). thf(v7_valued_0_type, type, v7_valued_0: $i > $o). thf(v8_valued_0_type, type, v8_valued_0: $i > $o). thf(antisymmetry_r2_hidden, axiom, (! [A: $i, B: $i] : ( ( (r2_hidden @ A) @ B) => ~ ( ( (r2_hidden @ B) @ A) ) ) ) , file(hidden, r2_hidden)). thf(cc10_membered, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k4_numbers) ) => (v5_membered @ A) ) ) , 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_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] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k5_numbers) ) => (v6_membered @ A) ) ) , file(membered, cc11_membered)). 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_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v1_xcmplx_0 @ B) ) ) ) ) , file(membered, cc12_membered)). 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] : ( (v2_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v1_xxreal_0 @ B) ) ) ) ) , file(membered, cc13_membered)). 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] : ( (v3_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v1_xreal_0 @ B) ) ) ) ) , file(membered, cc14_membered)). 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] : ( (v4_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v1_rat_1 @ B) ) ) ) ) , file(membered, cc15_membered)). 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] : ( (v5_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v1_int_1 @ B) ) ) ) ) , file(membered, cc16_membered)). 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] : ( (v6_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => (v7_ordinal1 @ B) ) ) ) ) , file(membered, cc17_membered)). 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] : ( (v1_xboole_0 @ A) => (v6_membered @ A) ) ) , file(membered, cc18_membered)). 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_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v1_membered @ B) ) ) ) ) , file(membered, cc19_membered)). 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_cfdiff_1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) => ( ( (v2_relat_1 @ A) & ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (v1_cfdiff_1 @ A) @ k6_numbers) ) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & (v2_comseq_2 @ A) ) ) ) ) ) , file(cfdiff_1, cc1_cfdiff_1)). thf(cc1_comseq_2, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & (v2_comseq_2 @ A) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & (v1_comseq_2 @ A) ) ) ) ) ) , file(comseq_2, cc1_comseq_2)). thf(cc1_funcop_1, axiom, (! [A: $i] : ( (v4_funct_1 @ A) => (! [B: $i] : ( ( (v1_relat_1 @ B) & ( ( (v5_relat_1 @ B) @ A) & (v1_funct_1 @ B) ) ) => ( (v1_relat_1 @ B) & ( (v1_funct_1 @ B) & (v1_funcop_1 @ B) ) ) ) ) ) ) , file(funcop_1, cc1_funcop_1)). thf(cc1_funct_1, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (v1_funct_1 @ A) ) ) , file(funct_1, cc1_funct_1)). 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_nat_1, axiom, (! [A: $i] : ( (v7_ordinal1 @ A) => ( (v3_ordinal1 @ A) & (v7_ordinal1 @ A) ) ) ) , file(nat_1, cc1_nat_1)). 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_seq_4, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ A) ) ) ) ) ) , file(seq_4, cc1_seq_4)). 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] : ( ( (m1_subset_1 @ A) @ k1_numbers) => (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_membered, axiom, (! [A: $i] : ( (v2_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v2_membered @ B) ) ) ) ) , file(membered, cc20_membered)). 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_membered, axiom, (! [A: $i] : ( (v3_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v3_membered @ B) ) ) ) ) , file(membered, cc21_membered)). 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_membered, axiom, (! [A: $i] : ( (v4_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v4_membered @ B) ) ) ) ) , file(membered, cc22_membered)). thf(cc22_valued_0, axiom, (! [A: $i] : ( ( (v1_zfmisc_1 @ A) & ( (v1_relat_1 @ A) & ( (v1_funct_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_membered, axiom, (! [A: $i] : ( (v5_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v5_membered @ B) ) ) ) ) , file(membered, cc23_membered)). 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_membered, axiom, (! [A: $i] : ( (v6_membered @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v6_membered @ B) ) ) ) ) , file(membered, cc24_membered)). 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(cc25_membered, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k5_numbers) => (v6_membered @ A) ) ) , file(membered, cc25_membered)). thf(cc26_membered, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (v7_membered @ A) ) ) , file(membered, cc26_membered)). 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 @ k5_numbers) @ k2_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ~ ( (v1_comseq_2 @ A) ) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ~ ( (v2_comseq_2 @ A) ) ) ) ) ) ) , file(comseq_2, cc2_comseq_2)). thf(cc2_funcop_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_funcop_1 @ A) ) ) => ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v2_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc2_funcop_1)). thf(cc2_funct_1, axiom, (! [A: $i] : ( ( (v1_xboole_0 @ A) & ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) => ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v2_funct_1 @ A) ) ) ) ) , file(funct_1, cc2_funct_1)). 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_nat_1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k5_numbers) => ~ ( (v3_xxreal_0 @ A) ) ) ) , file(nat_1, cc2_nat_1)). 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_seq_4, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & ( (v7_valued_0 @ A) & (v1_seq_2 @ A) ) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ A) ) ) ) ) ) , file(seq_4, cc2_seq_4)). 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] : ( (v7_ordinal1 @ A) => (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(cc2_xxreal_0, axiom, (! [A: $i] : ( (v7_ordinal1 @ A) => (v1_xxreal_0 @ A) ) ) , file(xxreal_0, cc2_xxreal_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) @ k5_numbers) ) => ( (v1_relat_1 @ A) & (v4_valued_0 @ A) ) ) ) , file(valued_0, cc31_valued_0)). thf(cc3_funcop_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_xboole_0 @ A) ) ) => ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_funcop_1 @ A) ) ) ) ) , file(funcop_1, cc3_funcop_1)). thf(cc3_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v1_funct_1 @ B) ) ) ) ) , file(funct_1, cc3_funct_1)). 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_nat_1, axiom, (! [A: $i] : ( (v7_ordinal1 @ A) => ( (v7_ordinal1 @ A) & ~ ( (v3_xxreal_0 @ A) ) ) ) ) , file(nat_1, cc3_nat_1)). 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_seq_2, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ A) ) ) ) ) ) , file(seq_2, cc3_seq_2)). thf(cc3_seq_4, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & ( (v8_valued_0 @ A) & (v2_seq_2 @ A) ) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ A) ) ) ) ) ) , file(seq_4, cc3_seq_4)). 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(cc3_xxreal_0, axiom, (! [A: $i] : ( ( (v1_xxreal_0 @ A) & (v2_xxreal_0 @ A) ) => ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_xxreal_0 @ A) & ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc3_xxreal_0)). thf(cc4_funct_1, axiom, (! [A: $i] : ( ( (v1_xboole_0 @ A) & ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) => ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc4_funct_1)). 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 @ k5_numbers) @ k1_numbers) ) ) => ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ A) ) ) => ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & (v1_comseq_2 @ A) ) ) ) ) ) , file(seq_2, cc4_seq_2)). 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(cc4_xxreal_0, axiom, (! [A: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_xxreal_0 @ A) & ~ ( (v3_xxreal_0 @ A) ) ) ) => ( (v1_xxreal_0 @ A) & (v2_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc4_xxreal_0)). thf(cc5_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & ~ ( (v3_funct_1 @ A) ) ) ) => ( ~ ( (v1_zfmisc_1 @ A) ) & ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) ) ) , file(funct_1, cc5_funct_1)). 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_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(cc5_xxreal_0, axiom, (! [A: $i] : ( ( (v1_xxreal_0 @ A) & (v3_xxreal_0 @ A) ) => ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_xxreal_0 @ A) & ~ ( (v2_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc5_xxreal_0)). thf(cc6_funct_1, axiom, (! [A: $i] : ( ( (v1_zfmisc_1 @ A) & ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) => ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v3_funct_1 @ A) ) ) ) ) , file(funct_1, cc6_funct_1)). thf(cc6_membered, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k2_numbers) ) => (v1_membered @ A) ) ) , file(membered, cc6_membered)). thf(cc6_ordinal1, axiom, (! [A: $i] : ( (v7_ordinal1 @ A) => (v3_ordinal1 @ A) ) ) , file(ordinal1, cc6_ordinal1)). 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(cc6_xxreal_0, axiom, (! [A: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_xxreal_0 @ A) & ~ ( (v2_xxreal_0 @ A) ) ) ) => ( (v1_xxreal_0 @ A) & (v3_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc6_xxreal_0)). thf(cc7_funct_1, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (v4_funct_1 @ A) ) ) , file(funct_1, cc7_funct_1)). thf(cc7_ordinal1, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (v7_ordinal1 @ A) ) ) , file(ordinal1, cc7_ordinal1)). 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(cc7_xxreal_0, axiom, (! [A: $i] : ( ( (v1_xboole_0 @ A) & (v1_xxreal_0 @ A) ) => ( (v1_xxreal_0 @ A) & ( ~ ( (v2_xxreal_0 @ A) ) & ~ ( (v3_xxreal_0 @ A) ) ) ) ) ) , file(xxreal_0, cc7_xxreal_0)). thf(cc8_funct_1, axiom, (! [A: $i] : ( (v4_funct_1 @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ A) => ( (v1_relat_1 @ B) & (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, cc8_funct_1)). thf(cc8_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, cc8_funct_2)). thf(cc8_membered, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k1_numbers) ) => (v3_membered @ A) ) ) , 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_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(cc8_xxreal_0, axiom, (! [A: $i] : ( ( (v1_xxreal_0 @ A) & ( ~ ( (v2_xxreal_0 @ A) ) & ~ ( (v3_xxreal_0 @ A) ) ) ) => ( (v1_xboole_0 @ A) & (v1_xxreal_0 @ A) ) ) ) , file(xxreal_0, cc8_xxreal_0)). thf(cc9_funct_1, axiom, (! [A: $i] : ( (v4_funct_1 @ A) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) => (v4_funct_1 @ B) ) ) ) ) , file(funct_1, cc9_funct_1)). thf(cc9_membered, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k3_numbers) ) => (v4_membered @ A) ) ) , file(membered, cc9_membered)). thf(cc9_ordinal1, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (v6_ordinal1 @ A) ) ) , file(ordinal1, cc9_ordinal1)). thf(cc9_valued_0, axiom, (! [A: $i] : ( ( (v1_xboole_0 @ A) & (v1_relat_1 @ A) ) => ( (v1_relat_1 @ A) & (v4_valued_0 @ A) ) ) ) , file(valued_0, cc9_valued_0)). thf(commutativity_k18_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) ) ) ) => ( ( (k18_valued_1 @ A) @ B) = ( (k18_valued_1 @ B) @ A) ) ) ) , file(valued_1, k18_valued_1)). thf(commutativity_k19_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) ) ) ) ) ) ) => ( ( ( ( ( (k19_valued_1 @ A) @ B) @ C) @ D) @ E) = ( ( ( ( (k19_valued_1 @ A) @ B) @ C) @ E) @ D) ) ) ) , file(valued_1, k19_valued_1)). thf(commutativity_k2_tarski, axiom, (! [A: $i, B: $i] : ( ( (k2_tarski @ A) @ B) = ( (k2_tarski @ B) @ A) ) ) , file(tarski, k2_tarski)). 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_xboole_0, axiom, (! [A: $i, B: $i] : ( ( (k3_xboole_0 @ A) @ B) = ( (k3_xboole_0 @ B) @ A) ) ) , file(xboole_0, k3_xboole_0)). 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(commutativity_k7_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( ( (k7_real_1 @ A) @ B) = ( (k7_real_1 @ B) @ A) ) ) ) , file(real_1, k7_real_1)). thf(commutativity_k8_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( ( (k8_complex1 @ A) @ B) = ( (k8_complex1 @ B) @ A) ) ) ) , file(complex1, k8_complex1)). thf(commutativity_k8_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( ( (k8_real_1 @ A) @ B) = ( (k8_real_1 @ B) @ A) ) ) ) , file(real_1, k8_real_1)). thf(commutativity_k9_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( ( (k9_complex1 @ A) @ B) = ( (k9_complex1 @ B) @ A) ) ) ) , file(complex1, k9_complex1)). thf(commutativity_k9_subset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ A) ) => ( ( ( (k9_subset_1 @ A) @ B) @ C) = ( ( (k9_subset_1 @ A) @ C) @ B) ) ) ) , file(subset_1, k9_subset_1)). thf(d12_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => (! [B: $i] : ( ( (r2_cfdiff_1 @ A) @ B) => (! [C: $i] : ( ( (v1_funct_1 @ C) & ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => ( (C = ( (k3_cfdiff_1 @ A) @ B) ) <=> ( ( ( (k1_relset_1 @ k2_numbers) @ C) = B) & (! [D: $i] : ( ( (m1_subset_1 @ D) @ k2_numbers) => ( ( (r2_hidden @ D) @ B) => ( ( ( (k7_partfun1 @ k2_numbers) @ C) @ D) = ( (k2_cfdiff_1 @ A) @ D) ) ) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, d12_cfdiff_1)). thf(d12_ordinal1, axiom, (! [A: $i] : ( (v7_ordinal1 @ A) <=> ( (r2_hidden @ A) @ k4_ordinal1) ) ) , file(ordinal1, d12_ordinal1)). thf(d18_valued_0, axiom, (! [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) => (! [B: $i] : ( ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ A) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ A) ) ) ) ) => ( (v3_funct_1 @ B) <=> (? [C: $i] : ( ( (m1_subset_1 @ C) @ A) & (! [D: $i] : ( (v7_ordinal1 @ D) => ( ( ( (k8_nat_1 @ A) @ B) @ D) = C) ) ) ) ) ) ) ) ) ) , file(valued_0, d18_valued_0)). thf(d1_xcmplx_0, axiom, (k1_xcmplx_0 = ( ( ( ( (k5_funct_4 @ k1_numbers) @ k6_numbers) @ np__1) @ k6_numbers) @ np__1) ) , file(xcmplx_0, d1_xcmplx_0)). thf(d2_xboole_0, axiom, (k1_xboole_0 = (eps @ (^ [A: $i] : (v1_xboole_0 @ A) ) ) ) , file(xboole_0, d2_xboole_0)). thf(d3_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => ( (v2_cfdiff_1 @ A) <=> (! [B: $i] : ( ( (v2_relat_1 @ B) & ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ k2_numbers) & ( ( (v1_cfdiff_1 @ B) @ k6_numbers) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v2_comseq_2 @ ( ( ( ( (k19_valued_1 @ k5_numbers) @ k2_numbers) @ k2_numbers) @ ( ( (k36_valued_1 @ k5_numbers) @ k2_numbers) @ B) ) @ ( ( ( ( (k8_funct_2 @ k5_numbers) @ k2_numbers) @ k2_numbers) @ B) @ A) ) ) & ( (k3_comseq_2 @ ( ( ( ( (k19_valued_1 @ k5_numbers) @ k2_numbers) @ k2_numbers) @ ( ( (k36_valued_1 @ k5_numbers) @ k2_numbers) @ B) ) @ ( ( ( ( (k8_funct_2 @ k5_numbers) @ k2_numbers) @ k2_numbers) @ B) @ A) ) ) = k6_numbers) ) ) ) ) ) ) , file(cfdiff_1, d3_cfdiff_1)). thf(d4_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => ( (v3_cfdiff_1 @ A) <=> (? [B: $i] : ( ( (m1_subset_1 @ B) @ k2_numbers) & (! [C: $i] : ( ( (m1_subset_1 @ C) @ k2_numbers) => ( ( ( (k7_partfun1 @ k2_numbers) @ A) @ C) = ( (k9_complex1 @ B) @ C) ) ) ) ) ) ) ) ) , file(cfdiff_1, d4_cfdiff_1)). thf(d4_complex1, axiom, (k6_complex1 = np__1) , file(complex1, d4_complex1)). thf(d4_xboole_0, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ( (C = ( (k3_xboole_0 @ A) @ B) ) <=> (! [D: $i] : ( ( (r2_hidden @ D) @ C) <=> ( ( (r2_hidden @ D) @ A) & ( (r2_hidden @ D) @ B) ) ) ) ) ) ) ) , file(xboole_0, d4_xboole_0)). thf(d5_complex1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k2_numbers) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ k2_numbers) => ( ( (k8_complex1 @ A) @ B) = ( (k2_xcmplx_0 @ ( (k7_real_1 @ (k3_complex1 @ A) ) @ (k3_complex1 @ B) ) ) @ ( (k3_xcmplx_0 @ ( (k7_real_1 @ (k4_complex1 @ A) ) @ (k4_complex1 @ B) ) ) @ k7_complex1) ) ) ) ) ) ) , file(complex1, d5_complex1)). thf(d6_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => (! [B: $i] : ( (v1_xcmplx_0 @ B) => ( ( (r1_cfdiff_1 @ A) @ B) <=> (? [C: $i] : ( ( (m1_cfdiff_1 @ C) @ B) & ( ( (r1_tarski @ C) @ ( (k1_relset_1 @ k2_numbers) @ A) ) & (? [D: $i] : ( ( (v1_funct_1 @ D) & ( ( (v1_partfun1 @ D) @ k2_numbers) & ( (v3_cfdiff_1 @ D) & ( (m1_subset_1 @ D) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & (? [E: $i] : ( ( (v1_funct_1 @ E) & ( ( (v1_partfun1 @ E) @ k2_numbers) & ( (v2_cfdiff_1 @ E) & ( (m1_subset_1 @ E) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & (! [F: $i] : ( ( (m1_subset_1 @ F) @ k2_numbers) => ( ( (r2_hidden @ F) @ C) => ( ( (k11_complex1 @ ( ( (k7_partfun1 @ k2_numbers) @ A) @ F) ) @ ( ( (k7_partfun1 @ k2_numbers) @ A) @ B) ) = ( (k8_complex1 @ ( ( ( (k10_funct_2 @ k2_numbers) @ k2_numbers) @ D) @ ( (k6_xcmplx_0 @ F) @ B) ) ) @ ( ( ( (k10_funct_2 @ k2_numbers) @ k2_numbers) @ E) @ ( (k6_xcmplx_0 @ F) @ B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, d6_cfdiff_1)). thf(d6_complex1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k2_numbers) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ k2_numbers) => ( ( (k9_complex1 @ A) @ B) = ( (k2_xcmplx_0 @ ( (k9_real_1 @ ( (k8_real_1 @ (k3_complex1 @ A) ) @ (k3_complex1 @ B) ) ) @ ( (k8_real_1 @ (k4_complex1 @ A) ) @ (k4_complex1 @ B) ) ) ) @ ( (k3_xcmplx_0 @ ( (k7_real_1 @ ( (k8_real_1 @ (k3_complex1 @ A) ) @ (k4_complex1 @ B) ) ) @ ( (k8_real_1 @ (k3_complex1 @ B) ) @ (k4_complex1 @ A) ) ) ) @ k7_complex1) ) ) ) ) ) ) , file(complex1, d6_complex1)). thf(d7_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => (! [B: $i] : ( (v1_xcmplx_0 @ B) => ( ( (r1_cfdiff_1 @ A) @ B) => (! [C: $i] : ( ( (m1_subset_1 @ C) @ k2_numbers) => ( (C = ( (k2_cfdiff_1 @ A) @ B) ) <=> (? [D: $i] : ( ( (m1_cfdiff_1 @ D) @ B) & ( ( (r1_tarski @ D) @ ( (k1_relset_1 @ k2_numbers) @ A) ) & (? [E: $i] : ( ( (v1_funct_1 @ E) & ( ( (v1_partfun1 @ E) @ k2_numbers) & ( (v3_cfdiff_1 @ E) & ( (m1_subset_1 @ E) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & (? [F: $i] : ( ( (v1_funct_1 @ F) & ( ( (v1_partfun1 @ F) @ k2_numbers) & ( (v2_cfdiff_1 @ F) & ( (m1_subset_1 @ F) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & ( (C = ( ( ( (k10_funct_2 @ k2_numbers) @ k2_numbers) @ E) @ k6_complex1) ) & (! [G: $i] : ( ( (m1_subset_1 @ G) @ k2_numbers) => ( ( (r2_hidden @ G) @ D) => ( ( (k11_complex1 @ ( ( (k7_partfun1 @ k2_numbers) @ A) @ G) ) @ ( ( (k7_partfun1 @ k2_numbers) @ A) @ B) ) = ( (k8_complex1 @ ( ( ( (k10_funct_2 @ k2_numbers) @ k2_numbers) @ E) @ ( (k6_xcmplx_0 @ G) @ B) ) ) @ ( ( ( (k10_funct_2 @ k2_numbers) @ k2_numbers) @ F) @ ( (k6_xcmplx_0 @ G) @ B) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, d7_cfdiff_1)). thf(d8_complex1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k2_numbers) => (! [B: $i] : ( ( (m1_subset_1 @ B) @ k2_numbers) => ( ( (k11_complex1 @ A) @ B) = ( (k2_xcmplx_0 @ ( (k9_real_1 @ (k3_complex1 @ A) ) @ (k3_complex1 @ B) ) ) @ ( (k3_xcmplx_0 @ ( (k9_real_1 @ (k4_complex1 @ A) ) @ (k4_complex1 @ B) ) ) @ k7_complex1) ) ) ) ) ) ) , file(complex1, d8_complex1)). thf(d8_xcmplx_0, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => (! [B: $i] : ( (v1_xcmplx_0 @ B) => ( ( (k6_xcmplx_0 @ A) @ B) = ( (k2_xcmplx_0 @ A) @ (k4_xcmplx_0 @ B) ) ) ) ) ) ) , file(xcmplx_0, d8_xcmplx_0)). thf(de_c2__cfdiff_1, axiom, (c2__cfdiff_1 = ( ( (k8_funcop_1 @ k2_numbers) @ k2_numbers) @ k5_complex1) ) , file(cfdiff_1, c2__cfdiff_1)). thf(dt_c2__cfdiff_1, axiom, ( (v1_funct_1 @ c2__cfdiff_1) & ( ( ( (v1_funct_2 @ c2__cfdiff_1) @ k2_numbers) @ k2_numbers) & ( (m1_subset_1 @ c2__cfdiff_1) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) , file(cfdiff_1, c2__cfdiff_1)). thf(dt_k10_funct_2, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (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 @ ( ( ( (k10_funct_2 @ A) @ B) @ C) @ D) ) @ B) ) ) , file(funct_2, k10_funct_2)). thf(dt_k10_xtuple_0, axiom, $true, file(xtuple_0, k10_xtuple_0)). thf(dt_k11_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( (m1_subset_1 @ ( (k11_complex1 @ A) @ B) ) @ k2_numbers) ) ) , file(complex1, k11_complex1)). thf(dt_k18_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 @ ( (k18_valued_1 @ A) @ B) ) & (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) , file(valued_1, k18_valued_1)). thf(dt_k19_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 @ ( ( ( ( (k19_valued_1 @ A) @ B) @ C) @ D) @ E) ) & ( (m1_subset_1 @ ( ( ( ( (k19_valued_1 @ A) @ B) @ C) @ D) @ E) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ k2_numbers) ) ) ) ) ) , file(valued_1, k19_valued_1)). thf(dt_k1_complex1, axiom, $true, file(complex1, k1_complex1)). thf(dt_k1_funct_1, axiom, $true, file(funct_1, k1_funct_1)). thf(dt_k1_numbers, axiom, $true, file(numbers, k1_numbers)). thf(dt_k1_relset_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ B) & ( (v4_relat_1 @ B) @ A) ) => ( (m1_subset_1 @ ( (k1_relset_1 @ A) @ B) ) @ (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k1_relset_1)). thf(dt_k1_tarski, axiom, $true, file(tarski, k1_tarski)). thf(dt_k1_xboole_0, axiom, $true, file(xboole_0, k1_xboole_0)). thf(dt_k1_xcmplx_0, axiom, $true, file(xcmplx_0, k1_xcmplx_0)). thf(dt_k1_zfmisc_1, axiom, $true, file(zfmisc_1, k1_zfmisc_1)). thf(dt_k2_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) & (v1_xcmplx_0 @ B) ) => ( (m1_subset_1 @ ( (k2_cfdiff_1 @ A) @ B) ) @ k2_numbers) ) ) , file(cfdiff_1, k2_cfdiff_1)). thf(dt_k2_complex1, axiom, $true, file(complex1, k2_complex1)). thf(dt_k2_funcop_1, axiom, $true, file(funcop_1, k2_funcop_1)). thf(dt_k2_numbers, axiom, $true, file(numbers, k2_numbers)). thf(dt_k2_partfun1, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( (v1_funct_1 @ C) & ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) => ( (v1_funct_1 @ ( ( ( (k2_partfun1 @ A) @ B) @ C) @ D) ) & ( (m1_subset_1 @ ( ( ( (k2_partfun1 @ A) @ B) @ C) @ D) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) ) ) , file(partfun1, k2_partfun1)). thf(dt_k2_relset_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ B) & ( (v5_relat_1 @ B) @ A) ) => ( (m1_subset_1 @ ( (k2_relset_1 @ A) @ B) ) @ (k1_zfmisc_1 @ A) ) ) ) , file(relset_1, k2_relset_1)). thf(dt_k2_tarski, axiom, $true, file(tarski, k2_tarski)). 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_k35_valued_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_valued_0 @ A) ) ) => ( (v1_relat_1 @ (k35_valued_1 @ A) ) & ( (v1_funct_1 @ (k35_valued_1 @ A) ) & (v1_valued_0 @ (k35_valued_1 @ A) ) ) ) ) ) , file(valued_1, k35_valued_1)). thf(dt_k36_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 @ ( ( (k36_valued_1 @ A) @ B) @ C) ) & ( (m1_subset_1 @ ( ( (k36_valued_1 @ A) @ B) @ C) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ k2_numbers) ) ) ) ) ) , file(valued_1, k36_valued_1)). thf(dt_k3_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => ( (v1_funct_1 @ ( (k3_cfdiff_1 @ A) @ B) ) & ( (m1_subset_1 @ ( (k3_cfdiff_1 @ A) @ B) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) , file(cfdiff_1, k3_cfdiff_1)). thf(dt_k3_complex1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( (m1_subset_1 @ (k3_complex1 @ A) ) @ k1_numbers) ) ) , file(complex1, k3_complex1)). thf(dt_k3_comseq_2, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) => ( (m1_subset_1 @ (k3_comseq_2 @ A) ) @ k2_numbers) ) ) , file(comseq_2, k3_comseq_2)). 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_xboole_0, axiom, $true, file(xboole_0, k3_xboole_0)). thf(dt_k3_xcmplx_0, axiom, $true, file(xcmplx_0, k3_xcmplx_0)). thf(dt_k4_complex1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( (m1_subset_1 @ (k4_complex1 @ A) ) @ k1_numbers) ) ) , file(complex1, k4_complex1)). thf(dt_k4_funct_4, axiom, $true, file(funct_4, k4_funct_4)). thf(dt_k4_numbers, axiom, $true, file(numbers, k4_numbers)). thf(dt_k4_ordinal1, axiom, $true, file(ordinal1, k4_ordinal1)). 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_k5_complex1, axiom, ( (m1_subset_1 @ k5_complex1) @ k2_numbers) , file(complex1, k5_complex1)). thf(dt_k5_funct_4, axiom, (! [A: $i, B: $i, C: $i, D: $i, E: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ( (m1_subset_1 @ D) @ A) & ( (m1_subset_1 @ E) @ A) ) ) => ( (v1_funct_1 @ ( ( ( ( (k5_funct_4 @ A) @ B) @ C) @ D) @ E) ) & ( ( ( (v1_funct_2 @ ( ( ( ( (k5_funct_4 @ A) @ B) @ C) @ D) @ E) ) @ ( (k2_tarski @ B) @ C) ) @ A) & ( (m1_subset_1 @ ( ( ( ( (k5_funct_4 @ A) @ B) @ C) @ D) @ E) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ ( (k2_tarski @ B) @ C) ) @ A) ) ) ) ) ) ) , file(funct_4, k5_funct_4)). thf(dt_k5_numbers, axiom, ( (m1_subset_1 @ k5_numbers) @ (k1_zfmisc_1 @ k1_numbers) ) , file(numbers, k5_numbers)). thf(dt_k5_relat_1, axiom, (! [A: $i, B: $i] : ( (v1_relat_1 @ A) => (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) ) ) , file(relat_1, k5_relat_1)). thf(dt_k5_relset_1, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) => ( (m1_subset_1 @ ( ( ( (k5_relset_1 @ A) @ B) @ C) @ D) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) ) , file(relset_1, k5_relset_1)). thf(dt_k6_complex1, axiom, ( (m1_subset_1 @ k6_complex1) @ k2_numbers) , file(complex1, k6_complex1)). thf(dt_k6_numbers, axiom, ( ( (m2_subset_1 @ k6_numbers) @ k1_numbers) @ k5_numbers) , file(numbers, k6_numbers)). thf(dt_k6_xcmplx_0, axiom, $true, file(xcmplx_0, k6_xcmplx_0)). thf(dt_k7_complex1, axiom, ( (m1_subset_1 @ k7_complex1) @ k2_numbers) , file(complex1, k7_complex1)). thf(dt_k7_partfun1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (v1_relat_1 @ B) & ( ( (v5_relat_1 @ B) @ A) & (v1_funct_1 @ B) ) ) => ( (m1_subset_1 @ ( ( (k7_partfun1 @ A) @ B) @ C) ) @ A) ) ) , file(partfun1, k7_partfun1)). thf(dt_k7_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( (m1_subset_1 @ ( (k7_real_1 @ A) @ B) ) @ k1_numbers) ) ) , file(real_1, k7_real_1)). thf(dt_k8_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( (m1_subset_1 @ ( (k8_complex1 @ A) @ B) ) @ k2_numbers) ) ) , file(complex1, k8_complex1)). 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_funct_2, axiom, (! [A: $i, B: $i, C: $i, D: $i, E: $i] : ( ( ~ ( (v1_xboole_0 @ C) ) & ( ( (v1_funct_1 @ D) & ( ( ( (v1_funct_2 @ D) @ A) @ C) & ( (m1_subset_1 @ D) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ C) ) ) ) ) & ( (v1_relat_1 @ E) & ( ( (v5_relat_1 @ E) @ B) & (v1_funct_1 @ E) ) ) ) ) => ( (v1_funct_1 @ ( ( ( ( (k8_funct_2 @ A) @ B) @ C) @ D) @ E) ) & ( ( ( (v1_funct_2 @ ( ( ( ( (k8_funct_2 @ A) @ B) @ C) @ D) @ E) ) @ A) @ B) & ( (m1_subset_1 @ ( ( ( ( (k8_funct_2 @ A) @ B) @ C) @ D) @ E) ) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) ) ) ) , file(funct_2, k8_funct_2)). thf(dt_k8_nat_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ A) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ A) ) ) ) ) & (v7_ordinal1 @ C) ) => ( (m1_subset_1 @ ( ( (k8_nat_1 @ A) @ B) @ C) ) @ A) ) ) , file(nat_1, k8_nat_1)). thf(dt_k8_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( (m1_subset_1 @ ( (k8_real_1 @ A) @ B) ) @ k1_numbers) ) ) , file(real_1, k8_real_1)). thf(dt_k9_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( (m1_subset_1 @ ( (k9_complex1 @ A) @ B) ) @ k2_numbers) ) ) , file(complex1, k9_complex1)). thf(dt_k9_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( (m1_subset_1 @ ( (k9_real_1 @ A) @ B) ) @ k1_numbers) ) ) , file(real_1, k9_real_1)). thf(dt_k9_subset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ A) ) => ( (m1_subset_1 @ ( ( (k9_subset_1 @ A) @ B) @ C) ) @ (k1_zfmisc_1 @ A) ) ) ) , file(subset_1, k9_subset_1)). thf(dt_k9_xtuple_0, axiom, $true, file(xtuple_0, k9_xtuple_0)). thf(dt_m1_cfdiff_1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => (! [B: $i] : ( ( (m1_cfdiff_1 @ B) @ A) => ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ k2_numbers) ) ) ) ) ) , file(cfdiff_1, m1_cfdiff_1)). thf(dt_m1_subset_1, axiom, $true, file(subset_1, m1_subset_1)). thf(dt_m2_subset_1, axiom, (! [A: $i, B: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) ) ) => (! [C: $i] : ( ( ( (m2_subset_1 @ C) @ A) @ B) => ( (m1_subset_1 @ C) @ A) ) ) ) ) , file(subset_1, m2_subset_1)). thf(existence_m1_cfdiff_1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => (? [B: $i] : ( (m1_cfdiff_1 @ B) @ A) ) ) ) , file(cfdiff_1, m1_cfdiff_1)). thf(existence_m1_subset_1, axiom, (! [A: $i] : (? [B: $i] : ( (m1_subset_1 @ B) @ A) ) ) , file(subset_1, m1_subset_1)). thf(existence_m2_subset_1, axiom, (! [A: $i, B: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) ) ) => (? [C: $i] : ( ( (m2_subset_1 @ C) @ A) @ B) ) ) ) , file(subset_1, m2_subset_1)). thf(fc108_valued_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v4_relat_1 @ A) @ k5_numbers) ) => (v6_membered @ (k9_xtuple_0 @ A) ) ) ) , file(valued_1, fc108_valued_1)). thf(fc10_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v3_cfdiff_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( (v1_partfun1 @ B) @ k2_numbers) & ( (v3_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & ( ( (v1_partfun1 @ ( (k18_valued_1 @ A) @ B) ) @ k2_numbers) & (v2_cfdiff_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(cfdiff_1, fc10_cfdiff_1)). thf(fc10_funcop_1, axiom, (! [A: $i, B: $i] : ( ~ ( (v1_xboole_0 @ B) ) => (v2_relat_1 @ ( (k2_funcop_1 @ A) @ B) ) ) ) , file(funcop_1, fc10_funcop_1)). thf(fc10_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v2_relat_1 @ A) & (v1_funct_1 @ A) ) ) => (v1_setfam_1 @ (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc10_funct_1)). thf(fc10_membered, axiom, (! [A: $i] : ( (v1_rat_1 @ A) => (v4_membered @ (k1_tarski @ A) ) ) ) , file(membered, fc10_membered)). thf(fc10_nat_1, axiom, (! [A: $i, B: $i] : ( (v3_ordinal1 @ A) => (v5_ordinal1 @ ( (k2_funcop_1 @ A) @ B) ) ) ) , file(nat_1, fc10_nat_1)). thf(fc10_relset_1, axiom, (! [A: $i, B: $i] : ( ( ( ~ ( (v1_xboole_0 @ A) ) & (v1_relat_1 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ (k9_xtuple_0 @ A) ) ) ) ) => ( ~ ( (v1_xboole_0 @ ( (k5_relat_1 @ A) @ B) ) ) & (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(relset_1, fc10_relset_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(fc112_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 @ (k35_valued_1 @ B) ) & ( ( (v4_relat_1 @ (k35_valued_1 @ B) ) @ A) & ( (v1_funct_1 @ (k35_valued_1 @ B) ) & (v1_valued_0 @ (k35_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc112_valued_1)). thf(fc116_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 @ (k35_valued_1 @ B) ) & ( (v1_funct_1 @ (k35_valued_1 @ B) ) & ( ( (v1_partfun1 @ (k35_valued_1 @ B) ) @ A) & (v1_valued_0 @ (k35_valued_1 @ B) ) ) ) ) ) ) , file(valued_1, fc116_valued_1)). thf(fc11_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v2_cfdiff_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( (v1_partfun1 @ B) @ k2_numbers) & ( (v3_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & ( ( (v1_partfun1 @ ( (k18_valued_1 @ A) @ B) ) @ k2_numbers) & (v2_cfdiff_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(cfdiff_1, fc11_cfdiff_1)). thf(fc11_funct_1, axiom, (! [A: $i, B: $i] : ( ( ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_relat_1 @ A) & ( (v2_relat_1 @ A) & (v1_funct_1 @ A) ) ) ) & ( (m1_subset_1 @ B) @ (k9_xtuple_0 @ A) ) ) => ~ ( (v1_xboole_0 @ ( (k1_funct_1 @ A) @ B) ) ) ) ) , file(funct_1, fc11_funct_1)). thf(fc11_membered, axiom, (! [A: $i] : ( (v1_int_1 @ A) => (v5_membered @ (k1_tarski @ A) ) ) ) , file(membered, fc11_membered)). 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(fc127_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 @ ( (k18_valued_1 @ B) @ C) ) & ( ( (v4_relat_1 @ ( (k18_valued_1 @ B) @ C) ) @ A) & (v1_funct_1 @ ( (k18_valued_1 @ B) @ C) ) ) ) ) ) , file(valued_1, fc127_valued_1)). thf(fc12_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v2_cfdiff_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( (v1_partfun1 @ B) @ k2_numbers) & ( (v3_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ B) @ A) ) & ( ( (v1_partfun1 @ ( (k18_valued_1 @ B) @ A) ) @ k2_numbers) & (v2_cfdiff_1 @ ( (k18_valued_1 @ B) @ A) ) ) ) ) ) , file(cfdiff_1, fc12_cfdiff_1)). thf(fc12_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v3_funct_1 @ A) ) ) => (v1_zfmisc_1 @ (k10_xtuple_0 @ A) ) ) ) , file(funct_1, fc12_funct_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(fc131_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 @ ( (k18_valued_1 @ B) @ C) ) & ( (v1_funct_1 @ ( (k18_valued_1 @ B) @ C) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ B) @ C) ) @ A) ) ) ) ) , file(valued_1, fc131_valued_1)). thf(fc13_funcop_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_funcop_1 @ A) ) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v1_funcop_1 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(funcop_1, fc13_funcop_1)). thf(fc13_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & ~ ( (v3_funct_1 @ A) ) ) ) => ~ ( (v1_zfmisc_1 @ (k10_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc13_funct_1)). thf(fc13_membered, axiom, (! [A: $i, B: $i] : ( ( (v1_xcmplx_0 @ A) & (v1_xcmplx_0 @ B) ) => (v1_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc13_membered)). thf(fc13_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & (v1_valued_0 @ A) ) & (v1_relat_1 @ B) ) => (v1_valued_0 @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(valued_0, fc13_valued_0)). 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_funcop_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ B) & (v1_funct_1 @ B) ) => (v1_funcop_1 @ ( (k2_funcop_1 @ A) @ B) ) ) ) , file(funcop_1, fc14_funcop_1)). thf(fc14_funct_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) => (v4_funct_1 @ (k1_tarski @ A) ) ) ) , file(funct_1, fc14_funct_1)). thf(fc14_membered, axiom, (! [A: $i, B: $i] : ( ( (v1_xxreal_0 @ A) & (v1_xxreal_0 @ B) ) => (v2_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc14_membered)). 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_funcop_1, axiom, (! [A: $i, B: $i] : (v3_funct_1 @ ( (k2_funcop_1 @ A) @ B) ) ) , file(funcop_1, fc15_funcop_1)). thf(fc15_funct_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) & ( (v1_relat_1 @ B) & (v1_funct_1 @ B) ) ) => (v4_funct_1 @ ( (k2_tarski @ A) @ B) ) ) ) , file(funct_1, fc15_funct_1)). thf(fc15_membered, axiom, (! [A: $i, B: $i] : ( ( (v1_xreal_0 @ A) & (v1_xreal_0 @ B) ) => (v3_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc15_membered)). thf(fc15_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & (v2_valued_0 @ A) ) & (v1_relat_1 @ B) ) => (v2_valued_0 @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(valued_0, fc15_valued_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_funcop_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v3_funct_1 @ A) ) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v3_funct_1 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(funcop_1, fc16_funcop_1)). thf(fc16_membered, axiom, (! [A: $i, B: $i] : ( ( (v1_rat_1 @ A) & (v1_rat_1 @ B) ) => (v4_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc16_membered)). 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_funcop_1, axiom, (! [A: $i, B: $i] : ( (v4_relat_1 @ ( (k2_funcop_1 @ A) @ B) ) @ A) ) , file(funcop_1, fc17_funcop_1)). thf(fc17_funct_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (v4_funct_1 @ A) & ( (v1_relat_1 @ C) & ( ( (v5_relat_1 @ C) @ A) & (v1_funct_1 @ C) ) ) ) => ( (v1_relat_1 @ ( (k1_funct_1 @ C) @ B) ) & (v1_funct_1 @ ( (k1_funct_1 @ C) @ B) ) ) ) ) , file(funct_1, fc17_funct_1)). thf(fc17_membered, axiom, (! [A: $i, B: $i] : ( ( (v1_int_1 @ A) & (v1_int_1 @ B) ) => (v5_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc17_membered)). thf(fc17_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & (v3_valued_0 @ A) ) & (v1_relat_1 @ B) ) => (v3_valued_0 @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(valued_0, fc17_valued_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_funct_1, axiom, (! [A: $i] : ( ( ~ ( (v1_zfmisc_1 @ A) ) & ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) => ~ ( (v1_zfmisc_1 @ (k9_xtuple_0 @ A) ) ) ) ) , file(funct_1, fc18_funct_1)). thf(fc18_membered, axiom, (! [A: $i, B: $i] : ( ( (v7_ordinal1 @ A) & (v7_ordinal1 @ B) ) => (v6_membered @ ( (k2_tarski @ A) @ B) ) ) ) , file(membered, fc18_membered)). 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_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k3_numbers) ) & (v1_relat_1 @ B) ) => ( (v5_relat_1 @ ( (k3_xboole_0 @ A) @ B) ) @ k3_numbers) ) ) , file(valued_0, fc19_valued_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_funcop_1, axiom, (! [A: $i, B: $i] : ( (v1_relat_1 @ ( (k2_funcop_1 @ A) @ B) ) & (v1_funct_1 @ ( (k2_funcop_1 @ A) @ B) ) ) ) , file(funcop_1, fc1_funcop_1)). thf(fc1_membered, axiom, (v1_membered @ k2_numbers) , file(membered, fc1_membered)). thf(fc1_nat_1, axiom, (! [A: $i, B: $i] : ( ( (v7_ordinal1 @ A) & (v7_ordinal1 @ B) ) => (v7_ordinal1 @ ( (k2_xcmplx_0 @ A) @ B) ) ) ) , file(nat_1, fc1_nat_1)). thf(fc1_numbers, axiom, ~ ( (v1_xboole_0 @ k1_numbers) ) , file(numbers, fc1_numbers)). thf(fc1_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v1_valued_0 @ A) ) => (v1_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc1_valued_0)). thf(fc1_xcmplx_0, axiom, (v1_xcmplx_0 @ k1_xcmplx_0) , file(xcmplx_0, fc1_xcmplx_0)). thf(fc20_funcop_1, axiom, (! [A: $i, B: $i] : ( (v1_relat_1 @ ( (k2_funcop_1 @ A) @ B) ) & ( ( (v4_relat_1 @ ( (k2_funcop_1 @ A) @ B) ) @ A) & ( (v1_funct_1 @ ( (k2_funcop_1 @ A) @ B) ) & ( (v1_partfun1 @ ( (k2_funcop_1 @ A) @ B) ) @ A) ) ) ) ) , file(funcop_1, fc20_funcop_1)). 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_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k4_numbers) ) & (v1_relat_1 @ B) ) => ( (v5_relat_1 @ ( (k3_xboole_0 @ A) @ B) ) @ k4_numbers) ) ) , file(valued_0, fc21_valued_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_funcop_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( ~ ( (v1_xboole_0 @ B) ) & ( (m1_subset_1 @ C) @ B) ) => ( (v5_relat_1 @ ( (k2_funcop_1 @ A) @ C) ) @ B) ) ) , file(funcop_1, fc22_funcop_1)). 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_valued_0, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & (v4_valued_0 @ A) ) & (v1_relat_1 @ B) ) => (v4_valued_0 @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(valued_0, fc23_valued_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_funcop_1, axiom, (! [A: $i] : (v1_xboole_0 @ ( (k2_funcop_1 @ k1_xboole_0) @ A) ) ) , file(funcop_1, fc2_funcop_1)). thf(fc2_nat_1, axiom, (! [A: $i, B: $i] : ( ( (v7_ordinal1 @ A) & (v7_ordinal1 @ B) ) => (v7_ordinal1 @ ( (k3_xcmplx_0 @ A) @ B) ) ) ) , file(nat_1, fc2_nat_1)). thf(fc2_numbers, axiom, ~ ( (v1_xboole_0 @ k2_numbers) ) , file(numbers, fc2_numbers)). thf(fc2_relset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( ( (v1_relat_1 @ B) & ( (v4_relat_1 @ B) @ A) ) & (v1_relat_1 @ C) ) => ( (v4_relat_1 @ ( (k3_xboole_0 @ B) @ C) ) @ A) ) ) , file(relset_1, fc2_relset_1)). thf(fc2_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v2_valued_0 @ A) ) => (v2_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc2_valued_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_membered, axiom, (! [A: $i, B: $i] : ( (v1_membered @ A) => (v1_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc31_membered)). thf(fc32_membered, axiom, (! [A: $i, B: $i] : ( (v1_membered @ A) => (v1_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc32_membered)). thf(fc33_membered, axiom, (! [A: $i, B: $i] : ( (v2_membered @ A) => (v2_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc33_membered)). thf(fc33_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 @ ( (k18_valued_1 @ A) @ B) ) & ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & (v1_valued_0 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(valued_1, fc33_valued_1)). thf(fc34_membered, axiom, (! [A: $i, B: $i] : ( (v2_membered @ A) => (v2_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc34_membered)). thf(fc34_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 @ ( (k18_valued_1 @ A) @ B) ) & ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & (v3_valued_0 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(valued_1, fc34_valued_1)). thf(fc35_membered, axiom, (! [A: $i, B: $i] : ( (v3_membered @ A) => (v3_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc35_membered)). thf(fc35_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 @ ( (k18_valued_1 @ A) @ B) ) & ( ( (v5_relat_1 @ ( (k18_valued_1 @ A) @ B) ) @ k3_numbers) & (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(valued_1, fc35_valued_1)). thf(fc36_membered, axiom, (! [A: $i, B: $i] : ( (v3_membered @ A) => (v3_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc36_membered)). thf(fc36_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 @ ( (k18_valued_1 @ A) @ B) ) & ( ( (v5_relat_1 @ ( (k18_valued_1 @ A) @ B) ) @ k4_numbers) & (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(valued_1, fc36_valued_1)). thf(fc37_membered, axiom, (! [A: $i, B: $i] : ( (v4_membered @ A) => (v4_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc37_membered)). thf(fc37_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 @ ( (k18_valued_1 @ A) @ B) ) & ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & (v4_valued_0 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(valued_1, fc37_valued_1)). thf(fc38_membered, axiom, (! [A: $i, B: $i] : ( (v4_membered @ A) => (v4_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc38_membered)). thf(fc38_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 @ ( (k18_valued_1 @ D) @ E) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ D) @ E) ) @ A) ) ) ) , file(valued_1, fc38_valued_1)). thf(fc39_membered, axiom, (! [A: $i, B: $i] : ( (v5_membered @ A) => (v5_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc39_membered)). thf(fc39_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 @ ( (k18_valued_1 @ D) @ E) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ D) @ E) ) @ A) ) ) ) , file(valued_1, fc39_valued_1)). thf(fc3_funcop_1, axiom, (! [A: $i, B: $i] : ( (v1_xboole_0 @ B) => (v1_xboole_0 @ ( (k2_funcop_1 @ B) @ A) ) ) ) , file(funcop_1, fc3_funcop_1)). thf(fc3_membered, axiom, (v3_membered @ k1_numbers) , file(membered, fc3_membered)). thf(fc3_nat_1, axiom, (! [A: $i, B: $i] : ( ( (v7_ordinal1 @ A) & ( ~ ( (v1_xboole_0 @ B) ) & (v7_ordinal1 @ B) ) ) => ~ ( (v1_xboole_0 @ ( (k2_xcmplx_0 @ A) @ B) ) ) ) ) , file(nat_1, fc3_nat_1)). thf(fc3_numbers, axiom, ~ ( (v1_xboole_0 @ k3_numbers) ) , file(numbers, fc3_numbers)). thf(fc3_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v3_valued_0 @ A) ) => (v3_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc3_valued_0)). 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(fc40_membered, axiom, (! [A: $i, B: $i] : ( (v5_membered @ A) => (v5_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc40_membered)). thf(fc40_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 @ ( (k18_valued_1 @ D) @ E) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ D) @ E) ) @ A) ) ) ) , file(valued_1, fc40_valued_1)). thf(fc41_membered, axiom, (! [A: $i, B: $i] : ( (v6_membered @ A) => (v6_membered @ ( (k3_xboole_0 @ A) @ B) ) ) ) , file(membered, fc41_membered)). thf(fc41_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 @ ( (k18_valued_1 @ D) @ E) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ D) @ E) ) @ A) ) ) ) , file(valued_1, fc41_valued_1)). thf(fc42_membered, axiom, (! [A: $i, B: $i] : ( (v6_membered @ A) => (v6_membered @ ( (k3_xboole_0 @ B) @ A) ) ) ) , file(membered, fc42_membered)). thf(fc42_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 @ ( (k18_valued_1 @ D) @ E) ) & ( (v1_partfun1 @ ( (k18_valued_1 @ D) @ E) ) @ A) ) ) ) , file(valued_1, fc42_valued_1)). thf(fc43_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & (v1_valued_0 @ A) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v1_valued_0 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(valued_0, fc43_valued_0)). thf(fc44_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & (v2_valued_0 @ A) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v2_valued_0 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(valued_0, fc44_valued_0)). thf(fc45_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & (v3_valued_0 @ A) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v3_valued_0 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(valued_0, fc45_valued_0)). thf(fc46_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k3_numbers) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & ( (v5_relat_1 @ ( (k5_relat_1 @ A) @ B) ) @ k3_numbers) ) ) ) , file(valued_0, fc46_valued_0)). thf(fc47_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k4_numbers) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & ( (v5_relat_1 @ ( (k5_relat_1 @ A) @ B) ) @ k4_numbers) ) ) ) , file(valued_0, fc47_valued_0)). thf(fc48_valued_0, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & (v4_valued_0 @ A) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v4_valued_0 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(valued_0, fc48_valued_0)). thf(fc4_funcop_1, axiom, (! [A: $i, B: $i] : ( ~ ( (v1_xboole_0 @ B) ) => ~ ( (v1_xboole_0 @ ( (k2_funcop_1 @ B) @ A) ) ) ) ) , file(funcop_1, fc4_funcop_1)). thf(fc4_membered, axiom, (v4_membered @ k3_numbers) , file(membered, fc4_membered)). thf(fc4_nat_1, axiom, (! [A: $i, B: $i] : ( ( (v7_ordinal1 @ A) & ( ~ ( (v1_xboole_0 @ B) ) & (v7_ordinal1 @ B) ) ) => ~ ( (v1_xboole_0 @ ( (k2_xcmplx_0 @ B) @ A) ) ) ) ) , file(nat_1, fc4_nat_1)). 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_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k3_numbers) ) => (v4_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc4_valued_0)). 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(fc55_membered, axiom, (v7_membered @ k2_numbers) , file(membered, fc55_membered)). thf(fc56_membered, axiom, (v7_membered @ k1_numbers) , file(membered, fc56_membered)). thf(fc57_membered, axiom, (v7_membered @ k3_numbers) , file(membered, fc57_membered)). thf(fc58_membered, axiom, (v7_membered @ k4_numbers) , file(membered, fc58_membered)). thf(fc59_membered, axiom, (v7_membered @ k4_ordinal1) , file(membered, fc59_membered)). thf(fc5_membered, axiom, (v5_membered @ k4_numbers) , file(membered, fc5_membered)). thf(fc5_ordinal1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v5_ordinal1 @ A) ) ) & (v3_ordinal1 @ B) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & ( ( (v5_relat_1 @ ( (k5_relat_1 @ A) @ B) ) @ (k10_xtuple_0 @ A) ) & (v5_ordinal1 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) ) , file(ordinal1, fc5_ordinal1)). thf(fc5_relset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( ( (v1_relat_1 @ B) & ( (v5_relat_1 @ B) @ A) ) & (v1_relat_1 @ C) ) => ( (v5_relat_1 @ ( (k3_xboole_0 @ B) @ C) ) @ A) ) ) , file(relset_1, fc5_relset_1)). thf(fc5_seq_2, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & ( (v2_comseq_2 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ k1_numbers) & ( (v2_comseq_2 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & ( ( ( (v1_funct_2 @ ( (k18_valued_1 @ A) @ B) ) @ k5_numbers) @ k1_numbers) & (v2_comseq_2 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(seq_2, fc5_seq_2)). thf(fc5_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v5_relat_1 @ A) @ k4_numbers) ) => (v5_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc5_valued_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(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(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(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(fc64_valued_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v3_valued_0 @ A) ) ) => ( (v1_relat_1 @ (k35_valued_1 @ A) ) & ( (v1_funct_1 @ (k35_valued_1 @ A) ) & ( (v1_valued_0 @ (k35_valued_1 @ A) ) & (v3_valued_0 @ (k35_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc64_valued_1)). 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(fc65_valued_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( ( (v5_relat_1 @ A) @ k3_numbers) & (v1_funct_1 @ A) ) ) => ( (v1_relat_1 @ (k35_valued_1 @ A) ) & ( ( (v5_relat_1 @ (k35_valued_1 @ A) ) @ k3_numbers) & ( (v1_funct_1 @ (k35_valued_1 @ A) ) & (v1_valued_0 @ (k35_valued_1 @ A) ) ) ) ) ) ) , file(valued_1, fc65_valued_1)). 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(fc66_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 @ (k35_valued_1 @ C) ) & ( (v1_partfun1 @ (k35_valued_1 @ C) ) @ A) ) ) ) , file(valued_1, fc66_valued_1)). 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(fc67_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 @ (k35_valued_1 @ C) ) & ( (v1_partfun1 @ (k35_valued_1 @ C) ) @ A) ) ) ) , file(valued_1, fc67_valued_1)). 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(fc68_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 @ (k35_valued_1 @ C) ) & ( (v1_partfun1 @ (k35_valued_1 @ C) ) @ A) ) ) ) , file(valued_1, fc68_valued_1)). 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_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_valued_0, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & (v4_valued_0 @ A) ) => (v6_membered @ (k10_xtuple_0 @ A) ) ) ) , file(valued_0, fc6_valued_0)). thf(fc6_xcmplx_0, axiom, (! [A: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & (v1_xcmplx_0 @ A) ) => ( ~ ( (v1_xboole_0 @ (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_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_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(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(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(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(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(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_cfdiff_1, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v2_cfdiff_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( (v1_partfun1 @ B) @ k2_numbers) & ( (v2_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & ( ( (v1_partfun1 @ ( (k18_valued_1 @ A) @ B) ) @ k2_numbers) & (v2_cfdiff_1 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(cfdiff_1, fc8_cfdiff_1)). thf(fc8_comseq_2, axiom, (! [A: $i, B: $i] : ( ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (v2_comseq_2 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) ) & ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ k2_numbers) & ( (v2_comseq_2 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) ) ) => ( (v1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) & ( ( ( (v1_funct_2 @ ( (k18_valued_1 @ A) @ B) ) @ k5_numbers) @ k2_numbers) & (v2_comseq_2 @ ( (k18_valued_1 @ A) @ B) ) ) ) ) ) , file(comseq_2, fc8_comseq_2)). thf(fc8_funcop_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_funcop_1 @ A) ) ) => ( (v1_relat_1 @ ( (k1_funct_1 @ A) @ B) ) & (v1_funct_1 @ ( (k1_funct_1 @ A) @ B) ) ) ) ) , file(funcop_1, fc8_funcop_1)). thf(fc8_funct_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) => ( (v1_relat_1 @ ( (k5_relat_1 @ A) @ B) ) & (v1_funct_1 @ ( (k5_relat_1 @ A) @ B) ) ) ) ) , file(funct_1, fc8_funct_1)). 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_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_xcmplx_0, axiom, (! [A: $i, B: $i] : ( ( ( ~ ( (v1_xboole_0 @ A) ) & (v1_xcmplx_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & (v1_xcmplx_0 @ B) ) ) => ~ ( (v1_xboole_0 @ ( (k3_xcmplx_0 @ A) @ B) ) ) ) ) , file(xcmplx_0, fc8_xcmplx_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(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_relset_1, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( (m1_subset_1 @ D) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ ( (k2_zfmisc_1 @ B) @ C) ) ) ) => (v1_relat_1 @ (k10_xtuple_0 @ D) ) ) ) , file(relset_1, fc9_relset_1)). 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(idempotence_k3_xboole_0, axiom, (! [A: $i, B: $i] : ( ( (k3_xboole_0 @ A) @ A) = A) ) , file(xboole_0, k3_xboole_0)). thf(idempotence_k9_subset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ A) ) => ( ( ( (k9_subset_1 @ A) @ B) @ B) = B) ) ) , file(subset_1, k9_subset_1)). thf(ie1_funct_2, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( ( (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) ) ) ) => ( ( ( (k7_partfun1 @ B) @ C) @ D) = ( ( ( (k3_funct_2 @ A) @ B) @ C) @ D) ) ) ) , file(funct_2, ie1_funct_2)). thf(involutiveness_k35_valued_1, axiom, (! [A: $i] : ( ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_valued_0 @ A) ) ) => ( (k35_valued_1 @ (k35_valued_1 @ A) ) = A) ) ) , file(valued_1, k35_valued_1)). thf(involutiveness_k36_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) ) ) ) ) => ( ( ( (k36_valued_1 @ A) @ B) @ ( ( (k36_valued_1 @ A) @ B) @ C) ) = C) ) ) , file(valued_1, k36_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(rc1_cfdiff_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( (v2_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (v1_valued_0 @ A) & ( (v1_cfdiff_1 @ A) @ k6_numbers) ) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, rc1_cfdiff_1)). thf(rc1_comseq_2, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (v1_valued_0 @ A) & (v1_comseq_2 @ A) ) ) ) ) ) ) ) ) ) ) , file(comseq_2, rc1_comseq_2)). thf(rc1_funcop_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v1_funcop_1 @ A) ) ) ) , file(funcop_1, rc1_funcop_1)). thf(rc1_funct_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & (v1_funct_1 @ A) ) ) , file(funct_1, rc1_funct_1)). 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] : (v3_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_seq_2, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) & ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k1_numbers) & ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & ( (v1_valued_0 @ A) & ( (v2_valued_0 @ A) & (v3_valued_0 @ A) ) ) ) ) ) ) ) ) ) ) ) ) , file(seq_2, rc1_seq_2)). thf(rc1_seq_4, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k1_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k1_numbers) & ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k1_numbers) & ( (v1_valued_0 @ A) & ( (v2_valued_0 @ A) & (v3_valued_0 @ A) ) ) ) ) ) ) ) ) ) ) ) ) , file(seq_4, rc1_seq_4)). 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_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(rc1_xxreal_0, axiom, (? [A: $i] : (v1_xxreal_0 @ A) ) , file(xxreal_0, rc1_xxreal_0)). thf(rc2_cfdiff_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & (v1_valued_0 @ A) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, rc2_cfdiff_1)). thf(rc2_comseq_2, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (v1_valued_0 @ A) & (v2_comseq_2 @ A) ) ) ) ) ) ) ) ) ) ) , file(comseq_2, rc2_comseq_2)). thf(rc2_funcop_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(funcop_1, rc2_funcop_1)). thf(rc2_funct_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & (v2_funct_1 @ A) ) ) ) , file(funct_1, rc2_funct_1)). thf(rc2_membered, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & (v6_membered @ A) ) ) , file(membered, rc2_membered)). thf(rc2_nat_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k1_numbers) ) & ( ~ ( (v1_xboole_0 @ A) ) & (v3_ordinal1 @ A) ) ) ) , file(nat_1, rc2_nat_1)). thf(rc2_ordinal1, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_ordinal1 @ A) & ( (v2_ordinal1 @ A) & (v3_ordinal1 @ A) ) ) ) ) , file(ordinal1, rc2_ordinal1)). thf(rc2_valued_0, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_relat_1 @ A) & ( ( (v5_relat_1 @ A) @ k3_numbers) & ( ( (v5_relat_1 @ A) @ k4_numbers) & ( (v1_funct_1 @ A) & ( (v3_funct_1 @ A) & (v4_valued_0 @ A) ) ) ) ) ) ) ) , file(valued_0, rc2_valued_0)). thf(rc2_valued_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( (v1_funct_1 @ A) & ~ ( (v1_xboole_0 @ A) ) ) ) ) ) , file(valued_1, rc2_valued_1)). thf(rc2_xcmplx_0, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & (v1_xcmplx_0 @ A) ) ) , file(xcmplx_0, rc2_xcmplx_0)). thf(rc2_xreal_0, axiom, (? [A: $i] : ( (v1_xcmplx_0 @ A) & ( (v1_xxreal_0 @ A) & ( (v2_xxreal_0 @ A) & (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc2_xreal_0)). thf(rc2_xxreal_0, axiom, (? [A: $i] : ( (v1_xxreal_0 @ A) & (v2_xxreal_0 @ A) ) ) , file(xxreal_0, rc2_xxreal_0)). thf(rc3_cfdiff_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k2_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v1_valued_0 @ A) & (v2_cfdiff_1 @ A) ) ) ) ) ) ) ) ) , file(cfdiff_1, rc3_cfdiff_1)). thf(rc3_funcop_1, axiom, (! [A: $i, B: $i] : ( ~ ( (v1_xboole_0 @ B) ) => (? [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_partfun1 @ C) @ A) ) ) ) ) ) ) ) ) , file(funcop_1, rc3_funcop_1)). thf(rc3_funct_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( (v2_relat_1 @ A) & (v1_funct_1 @ A) ) ) ) , file(funct_1, rc3_funct_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] : (? [B: $i] : ( (v1_relat_1 @ B) & ( ( (v5_relat_1 @ B) @ A) & ( (v1_funct_1 @ B) & (v5_ordinal1 @ B) ) ) ) ) ) , file(ordinal1, rc3_ordinal1)). thf(rc3_valued_0, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k5_numbers) ) ) & ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k5_numbers) & ( ( (v5_relat_1 @ A) @ k5_numbers) & ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k5_numbers) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k5_numbers) & ( (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) @ k5_numbers) & ( (v1_funct_1 @ A) & ( ~ ( (v1_xboole_0 @ A) ) & (v1_finset_1 @ A) ) ) ) ) ) , file(valued_1, rc3_valued_1)). thf(rc3_xreal_0, axiom, (? [A: $i] : ( (v1_xcmplx_0 @ A) & ( (v1_xxreal_0 @ A) & ( (v3_xxreal_0 @ A) & (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc3_xreal_0)). thf(rc3_xxreal_0, axiom, (? [A: $i] : ( (v1_xxreal_0 @ A) & (v3_xxreal_0 @ A) ) ) , file(xxreal_0, rc3_xxreal_0)). thf(rc4_cfdiff_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) & ( (v1_relat_1 @ A) & ( ( (v4_relat_1 @ A) @ k2_numbers) & ( ( (v5_relat_1 @ A) @ k2_numbers) & ( (v1_funct_1 @ A) & ( ( (v1_partfun1 @ A) @ k2_numbers) & ( (v1_valued_0 @ A) & (v3_cfdiff_1 @ A) ) ) ) ) ) ) ) ) , file(cfdiff_1, rc4_cfdiff_1)). thf(rc4_funcop_1, axiom, (! [A: $i] : (? [B: $i] : ( (v1_relat_1 @ B) & ( (v2_relat_1 @ B) & ( ( (v4_relat_1 @ B) @ A) & ( (v1_funct_1 @ B) & ( (v1_partfun1 @ B) @ A) ) ) ) ) ) ) , file(funcop_1, rc4_funcop_1)). thf(rc4_funct_1, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & ( (v1_relat_1 @ A) & ( (v2_relat_1 @ A) & (v1_funct_1 @ A) ) ) ) ) , file(funct_1, rc4_funct_1)). thf(rc4_ordinal1, axiom, (? [A: $i] : (v7_ordinal1 @ A) ) , file(ordinal1, rc4_ordinal1)). thf(rc4_valued_0, axiom, (! [A: $i] : (? [B: $i] : ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ A) ) ) & ( (v1_relat_1 @ B) & ( ( (v4_relat_1 @ B) @ k5_numbers) & ( ( (v5_relat_1 @ B) @ A) & ( (v1_funct_1 @ B) & ( (v3_funct_1 @ B) & ( ( (v1_funct_2 @ B) @ k5_numbers) @ A) ) ) ) ) ) ) ) ) , file(valued_0, rc4_valued_0)). thf(rc4_xreal_0, axiom, (? [A: $i] : ( (v1_xboole_0 @ A) & ( (v1_xcmplx_0 @ A) & ( (v1_xxreal_0 @ A) & (v1_xreal_0 @ A) ) ) ) ) , file(xreal_0, rc4_xreal_0)). thf(rc4_xxreal_0, axiom, (? [A: $i] : ( (v1_xboole_0 @ A) & (v1_xxreal_0 @ A) ) ) , file(xxreal_0, rc4_xxreal_0)). thf(rc5_cfdiff_1, axiom, (? [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k2_numbers) ) & ( (v1_membered @ A) & (v6_cfdiff_1 @ A) ) ) ) , file(cfdiff_1, rc5_cfdiff_1)). thf(rc5_funct_1, axiom, (? [A: $i] : ( (v1_relat_1 @ A) & ( (v1_funct_1 @ A) & ~ ( (v3_funct_1 @ A) ) ) ) ) , file(funct_1, rc5_funct_1)). thf(rc5_ordinal1, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & (v7_ordinal1 @ A) ) ) , file(ordinal1, rc5_ordinal1)). 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(rc6_funct_1, axiom, (! [A: $i, B: $i] : (? [C: $i] : ( (v1_relat_1 @ C) & ( ( (v4_relat_1 @ C) @ A) & ( ( (v5_relat_1 @ C) @ B) & (v1_funct_1 @ C) ) ) ) ) ) , file(funct_1, rc6_funct_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_funct_1, axiom, (? [A: $i] : ( ~ ( (v1_xboole_0 @ A) ) & (v4_funct_1 @ A) ) ) , file(funct_1, rc7_funct_1)). thf(rc9_funct_1, axiom, (! [A: $i] : (? [B: $i] : ( (v1_relat_1 @ B) & ( (v2_relat_1 @ B) & ( ( (v4_relat_1 @ B) @ A) & (v1_funct_1 @ B) ) ) ) ) ) , file(funct_1, rc9_funct_1)). thf(redefinition_k10_funct_2, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (v1_funct_1 @ C) & ( ( ( (v1_funct_2 @ C) @ A) @ B) & ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) ) ) ) => ( ( ( ( (k10_funct_2 @ A) @ B) @ C) @ D) = ( ( (k7_partfun1 @ B) @ C) @ D) ) ) ) , file(funct_2, k10_funct_2)). thf(redefinition_k11_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( ( (k11_complex1 @ A) @ B) = ( (k6_xcmplx_0 @ A) @ B) ) ) ) , file(complex1, k11_complex1)). thf(redefinition_k19_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) ) ) ) ) ) ) => ( ( ( ( ( (k19_valued_1 @ A) @ B) @ C) @ D) @ E) = ( (k18_valued_1 @ D) @ E) ) ) ) , file(valued_1, k19_valued_1)). thf(redefinition_k1_relset_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ B) & ( (v4_relat_1 @ B) @ A) ) => ( ( (k1_relset_1 @ A) @ B) = (k9_xtuple_0 @ B) ) ) ) , file(relset_1, k1_relset_1)). thf(redefinition_k2_partfun1, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( (v1_funct_1 @ C) & ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) ) => ( ( ( ( (k2_partfun1 @ A) @ B) @ C) @ D) = ( (k5_relat_1 @ C) @ D) ) ) ) , file(partfun1, k2_partfun1)). thf(redefinition_k2_relset_1, axiom, (! [A: $i, B: $i] : ( ( (v1_relat_1 @ B) & ( (v5_relat_1 @ B) @ A) ) => ( ( (k2_relset_1 @ A) @ B) = (k10_xtuple_0 @ B) ) ) ) , file(relset_1, k2_relset_1)). thf(redefinition_k36_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) ) ) ) ) => ( ( ( (k36_valued_1 @ A) @ B) @ C) = (k35_valued_1 @ C) ) ) ) , file(valued_1, k36_valued_1)). thf(redefinition_k3_complex1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( (k3_complex1 @ A) = (k1_complex1 @ A) ) ) ) , file(complex1, k3_complex1)). 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_k4_complex1, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( (k4_complex1 @ A) = (k2_complex1 @ A) ) ) ) , file(complex1, k4_complex1)). thf(redefinition_k5_complex1, axiom, (k5_complex1 = k1_xboole_0) , file(complex1, k5_complex1)). thf(redefinition_k5_funct_4, axiom, (! [A: $i, B: $i, C: $i, D: $i, E: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ( (m1_subset_1 @ D) @ A) & ( (m1_subset_1 @ E) @ A) ) ) => ( ( ( ( ( (k5_funct_4 @ A) @ B) @ C) @ D) @ E) = ( ( ( (k4_funct_4 @ B) @ C) @ D) @ E) ) ) ) , file(funct_4, k5_funct_4)). thf(redefinition_k5_numbers, axiom, (k5_numbers = k4_ordinal1) , file(numbers, k5_numbers)). thf(redefinition_k5_relset_1, axiom, (! [A: $i, B: $i, C: $i, D: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ A) @ B) ) ) => ( ( ( ( (k5_relset_1 @ A) @ B) @ C) @ D) = ( (k5_relat_1 @ C) @ D) ) ) ) , file(relset_1, k5_relset_1)). thf(redefinition_k6_numbers, axiom, (k6_numbers = k1_xboole_0) , file(numbers, k6_numbers)). thf(redefinition_k7_complex1, axiom, (k7_complex1 = k1_xcmplx_0) , file(complex1, k7_complex1)). thf(redefinition_k7_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( ( (k7_real_1 @ A) @ B) = ( (k2_xcmplx_0 @ A) @ B) ) ) ) , file(real_1, k7_real_1)). thf(redefinition_k8_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( ( (k8_complex1 @ A) @ B) = ( (k2_xcmplx_0 @ A) @ B) ) ) ) , file(complex1, k8_complex1)). 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) @ k5_numbers) @ A) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ A) ) ) ) ) & (v7_ordinal1 @ C) ) => ( ( ( (k8_nat_1 @ A) @ B) @ C) = ( (k1_funct_1 @ B) @ C) ) ) ) , file(nat_1, k8_nat_1)). thf(redefinition_k8_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( ( (k8_real_1 @ A) @ B) = ( (k3_xcmplx_0 @ A) @ B) ) ) ) , file(real_1, k8_real_1)). thf(redefinition_k9_complex1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k2_numbers) & ( (m1_subset_1 @ B) @ k2_numbers) ) => ( ( (k9_complex1 @ A) @ B) = ( (k3_xcmplx_0 @ A) @ B) ) ) ) , file(complex1, k9_complex1)). thf(redefinition_k9_real_1, axiom, (! [A: $i, B: $i] : ( ( ( (m1_subset_1 @ A) @ k1_numbers) & (v1_xreal_0 @ B) ) => ( ( (k9_real_1 @ A) @ B) = ( (k6_xcmplx_0 @ A) @ B) ) ) ) , file(real_1, k9_real_1)). thf(redefinition_k9_subset_1, axiom, (! [A: $i, B: $i, C: $i] : ( ( (m1_subset_1 @ C) @ (k1_zfmisc_1 @ A) ) => ( ( ( (k9_subset_1 @ A) @ B) @ C) = ( (k3_xboole_0 @ B) @ C) ) ) ) , file(subset_1, k9_subset_1)). thf(redefinition_m2_subset_1, axiom, (! [A: $i, B: $i] : ( ( ~ ( (v1_xboole_0 @ A) ) & ( ~ ( (v1_xboole_0 @ B) ) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ A) ) ) ) => (! [C: $i] : ( ( ( (m2_subset_1 @ C) @ A) @ B) <=> ( (m1_subset_1 @ C) @ B) ) ) ) ) , file(subset_1, m2_subset_1)). thf(reflexivity_r1_tarski, axiom, (! [A: $i, B: $i] : ( (r1_tarski @ A) @ A) ) , file(tarski, r1_tarski)). thf(rqRealAdd__k2_xcmplx_0__cr1r0_cr1r0_cr2r0, axiom, ( ( (k2_xcmplx_0 @ k1_xcmplx_0) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealAdd__k2_xcmplx_0__cr1r0_cr1r0_cr2r0)). thf(rqRealAdd__k2_xcmplx_0__cr1r0_crm1r0_r0, axiom, ( ( (k2_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__cr1r0_crm1r0_r0)). thf(rqRealAdd__k2_xcmplx_0__cr1r0_crm2r0_crm1r0, axiom, ( ( (k2_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealAdd__k2_xcmplx_0__cr1r0_crm2r0_crm1r0)). thf(rqRealAdd__k2_xcmplx_0__cr1r0_r0_cr1r0, axiom, ( ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__0) = k1_xcmplx_0) , file(arithm, rqRealAdd__k2_xcmplx_0__cr1r0_r0_cr1r0)). thf(rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1, axiom, ( ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1)). thf(rqRealAdd__k2_xcmplx_0__cr2r0_crm1r0_cr1r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = k1_xcmplx_0) , file(arithm, rqRealAdd__k2_xcmplx_0__cr2r0_crm1r0_cr1r0)). thf(rqRealAdd__k2_xcmplx_0__cr2r0_crm2r0_r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__cr2r0_crm2r0_r0)). thf(rqRealAdd__k2_xcmplx_0__crm1r0_cr1r0_r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__crm1r0_cr1r0_r0)). thf(rqRealAdd__k2_xcmplx_0__crm1r0_cr2r0_cr1r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = k1_xcmplx_0) , file(arithm, rqRealAdd__k2_xcmplx_0__crm1r0_cr2r0_cr1r0)). thf(rqRealAdd__k2_xcmplx_0__crm1r0_crm1r0_crm2r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealAdd__k2_xcmplx_0__crm1r0_crm1r0_crm2r0)). thf(rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1)). thf(rqRealAdd__k2_xcmplx_0__crm2r0_cr1r0_crm1r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealAdd__k2_xcmplx_0__crm2r0_cr1r0_crm1r0)). thf(rqRealAdd__k2_xcmplx_0__crm2r0_cr2r0_r0, axiom, ( ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__crm2r0_cr2r0_r0)). thf(rqRealAdd__k2_xcmplx_0__r0_cr1r0_cr1r0, axiom, ( ( (k2_xcmplx_0 @ np__0) @ k1_xcmplx_0) = k1_xcmplx_0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_cr1r0_cr1r0)). thf(rqRealAdd__k2_xcmplx_0__r0_crm1r0_crm1r0, axiom, ( ( (k2_xcmplx_0 @ np__0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_crm1r0_crm1r0)). thf(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, ( ( (k2_xcmplx_0 @ np__0) @ np__0) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r0_r0)). thf(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, ( ( (k2_xcmplx_0 @ np__0) @ np__1) = np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r1_r1)). thf(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, ( ( (k2_xcmplx_0 @ np__0) @ np__2) = np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_r2_r2)). thf(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, ( ( (k2_xcmplx_0 @ np__0) @ (k4_xcmplx_0 @ np__1) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm1_rm1)). thf(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, ( ( (k2_xcmplx_0 @ np__0) @ (k4_xcmplx_0 @ np__2) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r0_rm2_rm2)). thf(rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1, axiom, ( ( (k2_xcmplx_0 @ np__1) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1)). thf(rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1, axiom, ( ( (k2_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1)). thf(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, ( ( (k2_xcmplx_0 @ np__1) @ np__0) = np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r0_r1)). thf(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, ( ( (k2_xcmplx_0 @ np__1) @ np__1) = np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_r1_r2)). thf(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, ( ( (k2_xcmplx_0 @ np__1) @ (k4_xcmplx_0 @ np__1) ) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm1_r0)). thf(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, ( ( (k2_xcmplx_0 @ np__1) @ (k4_xcmplx_0 @ np__2) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealAdd__k2_xcmplx_0__r1_rm2_rm1)). thf(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, ( ( (k2_xcmplx_0 @ np__2) @ np__0) = np__2) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_r0_r2)). thf(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, ( ( (k2_xcmplx_0 @ np__2) @ (k4_xcmplx_0 @ np__1) ) = np__1) , file(arithm, rqRealAdd__k2_xcmplx_0__r2_rm1_r1)). thf(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, ( ( (k2_xcmplx_0 @ np__2) @ (k4_xcmplx_0 @ np__2) ) = np__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 @ np__1) ) @ np__0) = (k4_xcmplx_0 @ np__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 @ np__1) ) @ np__1) = np__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 @ np__1) ) @ np__2) = np__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 @ np__1) ) @ (k4_xcmplx_0 @ np__1) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2)). thf(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, ( ( (k2_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ np__1) = (k4_xcmplx_0 @ np__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 @ np__2) ) @ np__2) = np__0) , file(arithm, rqRealAdd__k2_xcmplx_0__rm2_r2_r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r0_r0, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ k1_xcmplx_0) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_cr1r0_r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_cr2r0_crm1r0, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_cr2r0_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_crm1r0_cr2r0, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_crm1r0_cr2r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_r0_cr1r0, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ np__0) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_r0_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ np__1) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_r2_cr1rm2, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ np__2) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_r2_cr1rm2)). thf(rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1, axiom, ( ( (k6_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ k1_xcmplx_0) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r1_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_cr1r1_r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_crm1r0_cr2r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_crm1r0_cr2r1)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_r0_cr1r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ np__0) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_r0_cr1r1)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ np__1) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__cr1r1_rm1_cr1r2, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r1_rm1_cr1r2)). thf(rqRealDiff__k6_xcmplx_0__cr1r2_cr1r2_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1r2_cr1r2_r0)). thf(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ k1_xcmplx_0) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1)). thf(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1rm1_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1rm1_cr1rm1_r0)). thf(rqRealDiff__k6_xcmplx_0__cr1rm1_crm1r0_cr2rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1rm1_crm1r0_cr2rm1)). thf(rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ (k4_xcmplx_0 @ np__1) ) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__cr2r0_cr1r0_cr1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2r0_cr1r0_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__cr2r0_cr2r0_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2r0_cr2r0_r0)). thf(rqRealDiff__k6_xcmplx_0__cr2r0_cr2rm2_r2, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) = np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2r0_cr2rm2_r2)). thf(rqRealDiff__k6_xcmplx_0__cr2r0_r1_cr2rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2r0_r1_cr2rm1)). thf(rqRealDiff__k6_xcmplx_0__cr2r0_r2_cr2rm2, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__2) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2r0_r2_cr2rm2)). thf(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2r0_rm2, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2rm2_cr2r0_rm2)). thf(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2rm2_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__cr2rm2_cr2rm2_r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_cr1r0_crm2r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_cr1r0_crm2r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r0_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_crm1r0_r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_crm2r0_cr1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_crm2r0_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_r2_crm1rm2, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_r2_crm1rm2)). thf(rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r0_crm2r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_cr1r0_crm2r1)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r1_crm2r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_cr1r1_crm2r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r1_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_crm1r1_r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_r0_crm1r1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ np__0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_r0_crm1r1)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ np__1) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__crm1r1_rm1_crm1r2, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r1_rm1_crm1r2)). thf(rqRealDiff__k6_xcmplx_0__crm1r2_crm1r2_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1r2_crm1r2_r0)). thf(rqRealDiff__k6_xcmplx_0__crm1rm1_cr1r0_crm2rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1rm1_cr1r0_crm2rm1)). thf(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1)). thf(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1rm1_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1rm1_crm1rm1_r0)). thf(rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__crm2r0_crm1r0_crm1r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r0_crm1r0_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__crm2r0_crm2r0_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r0_crm2r0_r0)). thf(rqRealDiff__k6_xcmplx_0__crm2r0_r2_crm2rm2, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r0_r2_crm2rm2)). thf(rqRealDiff__k6_xcmplx_0__crm2r0_rm1_crm2r1, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r0_rm1_crm2r1)). thf(rqRealDiff__k6_xcmplx_0__crm2r0_rm2_crm2r2, axiom, ( ( (k6_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r0_rm2_crm2r2)). thf(rqRealDiff__k6_xcmplx_0__crm2r1_rm1_crm2r2, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r1_rm1_crm2r2)). thf(rqRealDiff__k6_xcmplx_0__crm2r2_crm2r2_r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2r2_crm2r2_r0)). thf(rqRealDiff__k6_xcmplx_0__crm2rm1_rm1_crm2r0, axiom, ( ( (k6_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ (k4_xcmplx_0 @ np__1) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__crm2rm1_rm1_crm2r0)). thf(rqRealDiff__k6_xcmplx_0__r0_cr1r0_crm1r0, axiom, ( ( (k6_xcmplx_0 @ np__0) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_cr1r0_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__r0_crm1r0_cr1r0, axiom, ( ( (k6_xcmplx_0 @ np__0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_crm1r0_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, ( ( (k6_xcmplx_0 @ np__0) @ np__0) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r0_r0)). thf(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, ( ( (k6_xcmplx_0 @ np__0) @ np__1) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r1_rm1)). thf(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, ( ( (k6_xcmplx_0 @ np__0) @ np__2) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_r2_rm2)). thf(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, ( ( (k6_xcmplx_0 @ np__0) @ (k4_xcmplx_0 @ np__1) ) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm1_r1)). thf(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, ( ( (k6_xcmplx_0 @ np__0) @ (k4_xcmplx_0 @ np__2) ) = np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r0_rm2_r2)). thf(rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1)). thf(rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__r1_cr2r0_crm2r1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_cr2r0_crm2r1)). thf(rqRealDiff__k6_xcmplx_0__r1_cr2r1_crm2r0, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_cr2r1_crm2r0)). thf(rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1)). thf(rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__r1_crm2r0_cr2r1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_crm2r0_cr2r1)). thf(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ np__0) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r0_r1)). thf(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, ( ( (k6_xcmplx_0 @ np__1) @ np__1) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r1_r0)). thf(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, ( ( (k6_xcmplx_0 @ np__1) @ np__2) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_r2_rm1)). thf(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, ( ( (k6_xcmplx_0 @ np__1) @ (k4_xcmplx_0 @ np__1) ) = np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r1_rm1_r2)). thf(rqRealDiff__k6_xcmplx_0__r2_cr1r0_crm1r2, axiom, ( ( (k6_xcmplx_0 @ np__2) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_cr1r0_crm1r2)). thf(rqRealDiff__k6_xcmplx_0__r2_cr1r1_crm1r1, axiom, ( ( (k6_xcmplx_0 @ np__2) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_cr1r1_crm1r1)). thf(rqRealDiff__k6_xcmplx_0__r2_cr2r0_crm2r2, axiom, ( ( (k6_xcmplx_0 @ np__2) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_cr2r0_crm2r2)). thf(rqRealDiff__k6_xcmplx_0__r2_crm1r0_cr1r2, axiom, ( ( (k6_xcmplx_0 @ np__2) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_crm1r0_cr1r2)). thf(rqRealDiff__k6_xcmplx_0__r2_crm1r1_cr1r1, axiom, ( ( (k6_xcmplx_0 @ np__2) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_crm1r1_cr1r1)). thf(rqRealDiff__k6_xcmplx_0__r2_crm2r0_cr2r2, axiom, ( ( (k6_xcmplx_0 @ np__2) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_crm2r0_cr2r2)). thf(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, ( ( (k6_xcmplx_0 @ np__2) @ np__0) = np__2) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r0_r2)). thf(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, ( ( (k6_xcmplx_0 @ np__2) @ np__1) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r1_r1)). thf(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, ( ( (k6_xcmplx_0 @ np__2) @ np__2) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__r2_r2_r0)). thf(rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1)). thf(rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0)). thf(rqRealDiff__k6_xcmplx_0__rm1_cr2r0_crm2rm1, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_cr2r0_crm2rm1)). thf(rqRealDiff__k6_xcmplx_0__rm1_cr2rm1_crm2r0, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_cr2rm1_crm2r0)). thf(rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1)). thf(rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) = k1_xcmplx_0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0)). thf(rqRealDiff__k6_xcmplx_0__rm1_crm2r0_cr2rm1, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_crm2r0_cr2rm1)). thf(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ np__0) = (k4_xcmplx_0 @ np__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 @ np__1) ) @ np__1) = (k4_xcmplx_0 @ np__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 @ np__1) ) @ (k4_xcmplx_0 @ np__1) ) = np__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 @ np__1) ) @ (k4_xcmplx_0 @ np__2) ) = np__1) , file(arithm, rqRealDiff__k6_xcmplx_0__rm1_rm2_r1)). thf(rqRealDiff__k6_xcmplx_0__rm2_cr1r0_crm1rm2, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_cr1r0_crm1rm2)). thf(rqRealDiff__k6_xcmplx_0__rm2_cr2r0_crm2rm2, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_cr2r0_crm2rm2)). thf(rqRealDiff__k6_xcmplx_0__rm2_crm1r0_cr1rm2, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_crm1r0_cr1rm2)). thf(rqRealDiff__k6_xcmplx_0__rm2_crm2r0_cr2rm2, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_crm2r0_cr2rm2)). thf(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, ( ( (k6_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ np__0) = (k4_xcmplx_0 @ np__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 @ np__2) ) @ (k4_xcmplx_0 @ np__1) ) = (k4_xcmplx_0 @ np__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 @ np__2) ) @ (k4_xcmplx_0 @ np__2) ) = np__0) , file(arithm, rqRealDiff__k6_xcmplx_0__rm2_rm2_r0)). thf(rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ k1_xcmplx_0) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1)). thf(rqRealMult__k3_xcmplx_0__cr1r0_cr2r0_rm2, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_cr2r0_rm2)). thf(rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = np__1) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1)). thf(rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1)). thf(rqRealMult__k3_xcmplx_0__cr1r0_crm2r0_r2, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = np__2) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_crm2r0_r2)). thf(rqRealMult__k3_xcmplx_0__cr1r0_r0_r0, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ np__0) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_r0_r0)). thf(rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ np__1) = k1_xcmplx_0) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0)). thf(rqRealMult__k3_xcmplx_0__cr1r0_r2_cr2r0, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ np__2) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_r2_cr2r0)). thf(rqRealMult__k3_xcmplx_0__cr1r0_rm2_crm2r0, axiom, ( ( (k3_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__2) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r0_rm2_crm2r0)). thf(rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1)). thf(rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1)). thf(rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) @ np__1) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1)). thf(rqRealMult__k3_xcmplx_0__cr1r2_cr1r0_cr2rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r2_cr1r0_cr2rm1)). thf(rqRealMult__k3_xcmplx_0__cr1r2_crm1r0_crm2r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r2_crm1r0_crm2r1)). thf(rqRealMult__k3_xcmplx_0__cr1r2_r1_cr1r2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) @ np__1) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1r2_r1_cr1r2)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_cr2r0_crm2rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_cr2r0_crm2rm2)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_crm2r0_cr2r2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_crm2r0_cr2r2)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ np__1) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_r2_cr2rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ np__2) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_r2_cr2rm2)). thf(rqRealMult__k3_xcmplx_0__cr1rm1_rm2_crm2r2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) @ (k4_xcmplx_0 @ np__2) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr1rm1_rm2_crm2r2)). thf(rqRealMult__k3_xcmplx_0__cr2r0_cr1r0_rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr2r0_cr1r0_rm2)). thf(rqRealMult__k3_xcmplx_0__cr2r0_r1_cr2r0, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr2r0_r1_cr2r0)). thf(rqRealMult__k3_xcmplx_0__cr2rm2_r1_cr2rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__cr2rm2_r1_cr2rm2)). thf(rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = np__1) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1)). thf(rqRealMult__k3_xcmplx_0__crm1r0_cr2r0_r2, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = np__2) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_cr2r0_r2)). thf(rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1)). thf(rqRealMult__k3_xcmplx_0__crm1r0_crm2r0_rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_crm2r0_rm2)). thf(rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0)). thf(rqRealMult__k3_xcmplx_0__crm1r0_r2_crm2r0, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_r2_crm2r0)). thf(rqRealMult__k3_xcmplx_0__crm1r0_rm2_cr2r0, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r0_rm2_cr2r0)). thf(rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1)). thf(rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1)). thf(rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1)). thf(rqRealMult__k3_xcmplx_0__crm1r1_r2_crm2r2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ np__2) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r1_r2_crm2r2)). thf(rqRealMult__k3_xcmplx_0__crm1r1_rm2_cr2rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) @ (k4_xcmplx_0 @ np__2) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r1_rm2_cr2rm2)). thf(rqRealMult__k3_xcmplx_0__crm1r2_cr1r0_cr2r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r2_cr1r0_cr2r1)). thf(rqRealMult__k3_xcmplx_0__crm1r2_crm1r0_crm2rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r2_crm1r0_crm2rm1)). thf(rqRealMult__k3_xcmplx_0__crm1r2_r1_crm1r2, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1r2_r1_crm1r2)). thf(rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ k1_xcmplx_0) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1)). thf(rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1)). thf(rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1, axiom, ( ( (k3_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) @ np__1) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1)). thf(rqRealMult__k3_xcmplx_0__crm2r0_cr1r0_r2, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ k1_xcmplx_0) = np__2) , file(arithm, rqRealMult__k3_xcmplx_0__crm2r0_cr1r0_r2)). thf(rqRealMult__k3_xcmplx_0__crm2r0_crm1r0_rm2, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm2r0_crm1r0_rm2)). thf(rqRealMult__k3_xcmplx_0__crm2r0_r1_crm2r0, axiom, ( ( (k3_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__crm2r0_r1_crm2r0)). thf(rqRealMult__k3_xcmplx_0__r0_cr1r0_r0, axiom, ( ( (k3_xcmplx_0 @ np__0) @ k1_xcmplx_0) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_cr1r0_r0)). thf(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, ( ( (k3_xcmplx_0 @ np__0) @ np__0) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r0_r0)). thf(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, ( ( (k3_xcmplx_0 @ np__0) @ np__1) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r1_r0)). thf(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, ( ( (k3_xcmplx_0 @ np__0) @ np__2) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_r2_r0)). thf(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, ( ( (k3_xcmplx_0 @ np__0) @ (k4_xcmplx_0 @ np__2) ) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r0_rm2_r0)). thf(rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0, axiom, ( ( (k3_xcmplx_0 @ np__1) @ k1_xcmplx_0) = k1_xcmplx_0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0)). thf(rqRealMult__k3_xcmplx_0__r1_cr2r0_cr2r0, axiom, ( ( (k3_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_cr2r0_cr2r0)). thf(rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0, axiom, ( ( (k3_xcmplx_0 @ np__1) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0)). thf(rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1, axiom, ( ( (k3_xcmplx_0 @ np__1) @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1)). thf(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, ( ( (k3_xcmplx_0 @ np__1) @ np__0) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r0_r0)). thf(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, ( ( (k3_xcmplx_0 @ np__1) @ np__1) = np__1) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r1_r1)). thf(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, ( ( (k3_xcmplx_0 @ np__1) @ np__2) = np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r1_r2_r2)). thf(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, ( ( (k3_xcmplx_0 @ np__1) @ (k4_xcmplx_0 @ np__2) ) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__r1_rm2_rm2)). thf(rqRealMult__k3_xcmplx_0__r2_cr1r0_cr2r0, axiom, ( ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_cr1r0_cr2r0)). thf(rqRealMult__k3_xcmplx_0__r2_crm1r0_crm2r0, axiom, ( ( (k3_xcmplx_0 @ np__2) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__r2_crm1r0_crm2r0)). thf(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, ( ( (k3_xcmplx_0 @ np__2) @ np__0) = np__0) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r0_r0)). thf(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, ( ( (k3_xcmplx_0 @ np__2) @ np__1) = np__2) , file(arithm, rqRealMult__k3_xcmplx_0__r2_r1_r2)). thf(rqRealMult__k3_xcmplx_0__rm2_cr1r0_crm2r0, axiom, ( ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_cr1r0_crm2r0)). thf(rqRealMult__k3_xcmplx_0__rm2_crm1r0_cr2r0, axiom, ( ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_crm1r0_cr2r0)). thf(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, ( ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ np__0) = np__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 @ np__2) ) @ np__1) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealMult__k3_xcmplx_0__rm2_r1_rm2)). thf(rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0, axiom, ( (k4_xcmplx_0 @ k1_xcmplx_0) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0)). thf(rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1)). thf(rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1)). thf(rqRealNeg__k4_xcmplx_0__cr2r0_crm2r0, axiom, ( (k4_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr2r0_crm2r0)). thf(rqRealNeg__k4_xcmplx_0__cr2r1_crm2rm1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr2r1_crm2rm1)). thf(rqRealNeg__k4_xcmplx_0__cr2r2_crm2rm2, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__2) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr2r2_crm2rm2)). thf(rqRealNeg__k4_xcmplx_0__cr2rm2_crm2r2, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__cr2rm2_crm2r2)). thf(rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0, axiom, ( (k4_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) = k1_xcmplx_0) , file(arithm, rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0)). thf(rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1)). thf(rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) = ( (k2_xcmplx_0 @ k1_xcmplx_0) @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1)). thf(rqRealNeg__k4_xcmplx_0__crm2r0_cr2r0, axiom, ( (k4_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) = ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm2r0_cr2r0)). thf(rqRealNeg__k4_xcmplx_0__crm2r1_cr2rm1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__1) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm2r1_cr2rm1)). thf(rqRealNeg__k4_xcmplx_0__crm2r2_cr2rm2, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ np__2) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm2r2_cr2rm2)). thf(rqRealNeg__k4_xcmplx_0__crm2rm1_cr2r1, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__1) ) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm2rm1_cr2r1)). thf(rqRealNeg__k4_xcmplx_0__crm2rm2_cr2r2, axiom, ( (k4_xcmplx_0 @ ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) @ k1_xcmplx_0) ) @ (k4_xcmplx_0 @ np__2) ) ) = ( (k2_xcmplx_0 @ ( (k3_xcmplx_0 @ np__2) @ k1_xcmplx_0) ) @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__crm2rm2_cr2r2)). thf(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, ( (k4_xcmplx_0 @ np__0) = np__0) , file(arithm, rqRealNeg__k4_xcmplx_0__r0_r0)). thf(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, ( (k4_xcmplx_0 @ np__1) = (k4_xcmplx_0 @ np__1) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r1_rm1)). thf(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, ( (k4_xcmplx_0 @ np__2) = (k4_xcmplx_0 @ np__2) ) , file(arithm, rqRealNeg__k4_xcmplx_0__r2_rm2)). thf(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, ( (k4_xcmplx_0 @ (k4_xcmplx_0 @ np__1) ) = np__1) , file(arithm, rqRealNeg__k4_xcmplx_0__rm1_r1)). thf(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, ( (k4_xcmplx_0 @ (k4_xcmplx_0 @ np__2) ) = np__2) , file(arithm, rqRealNeg__k4_xcmplx_0__rm2_r2)). thf(spc0_boole, axiom, (v1_xboole_0 @ np__0) , file(boole, spc0_boole)). thf(spc0_numerals, axiom, ( ( ( (m2_subset_1 @ np__0) @ k1_numbers) @ k5_numbers) & ( ( (m1_subset_1 @ np__0) @ k5_numbers) & ( (m1_subset_1 @ np__0) @ k1_numbers) ) ) , 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 @ np__1) ) , file(boole, spc1_boole)). thf(spc1_numerals, axiom, ( ( (v2_xxreal_0 @ np__1) & ( ( (m2_subset_1 @ np__1) @ k1_numbers) @ k5_numbers) ) & ( ( (m1_subset_1 @ np__1) @ k5_numbers) & ( (m1_subset_1 @ np__1) @ k1_numbers) ) ) , file(numerals, spc1_numerals)). thf(spc2_arithm, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( ( (k3_xcmplx_0 @ A) @ (k4_xcmplx_0 @ np__1) ) = (k4_xcmplx_0 @ A) ) ) ) , file(arithm, spc2_arithm)). thf(spc2_boole, axiom, ~ ( (v1_xboole_0 @ np__2) ) , file(boole, spc2_boole)). thf(spc2_numerals, axiom, ( ( (v2_xxreal_0 @ np__2) & ( ( (m2_subset_1 @ np__2) @ k1_numbers) @ k5_numbers) ) & ( ( (m1_subset_1 @ np__2) @ k5_numbers) & ( (m1_subset_1 @ np__2) @ k1_numbers) ) ) , file(numerals, spc2_numerals)). 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(t109_funct_2, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ( ~ ( (v1_xboole_0 @ C) ) => (! [D: $i] : ( ( (v1_funct_1 @ D) & ( ( ( (v1_funct_2 @ D) @ B) @ C) & ( (m1_subset_1 @ D) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ B) @ C) ) ) ) ) => (! [E: $i] : ( ( (v1_funct_1 @ E) & ( (m1_subset_1 @ E) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ C) @ A) ) ) ) => (! [F: $i] : ( ( (m1_subset_1 @ F) @ B) => ( ( (r1_tarski @ ( (k2_relset_1 @ C) @ D) ) @ ( (k1_relset_1 @ C) @ E) ) => ( (B = k1_xboole_0) | ( ( (k1_funct_1 @ ( ( ( ( (k8_funct_2 @ B) @ A) @ C) @ D) @ E) ) @ F) = ( ( (k7_partfun1 @ A) @ E) @ ( (k1_funct_1 @ D) @ F) ) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(funct_2, t109_funct_2)). thf(t13_funcop_1, axiom, (! [A: $i] : (! [B: $i] : ( ( (k9_xtuple_0 @ ( (k2_funcop_1 @ A) @ B) ) = A) & ( (r1_tarski @ (k10_xtuple_0 @ ( (k2_funcop_1 @ A) @ B) ) ) @ (k1_tarski @ B) ) ) ) ) , file(funcop_1, t13_funcop_1)). thf(t15_cfdiff_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => (! [B: $i] : ( ( (v6_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ k2_numbers) ) ) => ( ( (r2_cfdiff_1 @ A) @ B) <=> ( ( (r1_tarski @ B) @ ( (k1_relset_1 @ k2_numbers) @ A) ) & (! [C: $i] : ( ( (m1_subset_1 @ C) @ k2_numbers) => ( ( (r2_hidden @ C) @ B) => ( (r1_cfdiff_1 @ A) @ C) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, t15_cfdiff_1)). thf(t1_arithm, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( ( (k2_xcmplx_0 @ A) @ k6_numbers) = A) ) ) , file(arithm, t1_arithm)). thf(t1_numerals, axiom, ( (m1_subset_1 @ k1_xboole_0) @ k4_ordinal1) , file(numerals, t1_numerals)). thf(t1_subset, axiom, (! [A: $i] : (! [B: $i] : ( ( (r2_hidden @ A) @ B) => ( (m1_subset_1 @ A) @ B) ) ) ) , file(subset, t1_subset)). thf(t1_xboole_1, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ( ( ( (r1_tarski @ A) @ B) & ( (r1_tarski @ B) @ C) ) => ( (r1_tarski @ A) @ C) ) ) ) ) , file(xboole_1, t1_xboole_1)). thf(t26_cfcont_1, axiom, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( ( ( (v1_funct_2 @ A) @ k5_numbers) @ k2_numbers) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) => ( (v3_funct_1 @ A) => (v2_comseq_2 @ A) ) ) ) , file(cfcont_1, t26_cfcont_1)). thf(t27_cfcont_1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ k2_numbers) => (! [B: $i] : ( ( (v1_funct_1 @ B) & ( ( ( (v1_funct_2 @ B) @ k5_numbers) @ k2_numbers) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k5_numbers) @ k2_numbers) ) ) ) ) => ( ( ( (v3_funct_1 @ B) & ( (r2_hidden @ A) @ ( (k2_relset_1 @ k2_numbers) @ B) ) ) | ( (v3_funct_1 @ B) & (? [C: $i] : ( ( ( (m2_subset_1 @ C) @ k1_numbers) @ k5_numbers) & ( ( ( ( (k3_funct_2 @ k5_numbers) @ k2_numbers) @ B) @ C) = A) ) ) ) ) => ( (k3_comseq_2 @ B) = A) ) ) ) ) ) , file(cfcont_1, t27_cfcont_1)). thf(t2_arithm, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( ( (k3_xcmplx_0 @ A) @ k6_numbers) = k6_numbers) ) ) , file(arithm, t2_arithm)). thf(t2_boole, axiom, (! [A: $i] : ( ( (k3_xboole_0 @ A) @ k1_xboole_0) = k1_xboole_0) ) , file(boole, t2_boole)). thf(t2_subset, axiom, (! [A: $i] : (! [B: $i] : ( ( (m1_subset_1 @ A) @ B) => ( (v1_xboole_0 @ B) | ( (r2_hidden @ A) @ B) ) ) ) ) , file(subset, t2_subset)). thf(t35_partfun2, axiom, (! [A: $i] : (! [B: $i] : ( ~ ( (v1_xboole_0 @ B) ) => (! [C: $i] : ( ~ ( (v1_xboole_0 @ C) ) => (! [D: $i] : ( ( (v1_funct_1 @ D) & ( (m1_subset_1 @ D) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ C) @ B) ) ) ) => ( (v3_funct_1 @ ( ( ( (k2_partfun1 @ C) @ B) @ D) @ A) ) <=> (? [E: $i] : ( ( (m1_subset_1 @ E) @ B) & (! [F: $i] : ( ( (m1_subset_1 @ F) @ C) => ( ( (r2_hidden @ F) @ ( ( (k9_subset_1 @ C) @ A) @ ( (k1_relset_1 @ C) @ D) ) ) => ( ( ( (k7_partfun1 @ B) @ D) @ F) = E) ) ) ) ) ) ) ) ) ) ) ) ) ) , file(partfun2, t35_partfun2)). thf(t3_arithm, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( ( (k3_xcmplx_0 @ np__1) @ A) = A) ) ) , file(arithm, t3_arithm)). 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(t4_arithm, axiom, (! [A: $i] : ( (v1_xcmplx_0 @ A) => ( ( (k6_xcmplx_0 @ A) @ k6_numbers) = A) ) ) , file(arithm, t4_arithm)). thf(t4_subset, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ( ( ( (r2_hidden @ A) @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ C) ) ) => ( (m1_subset_1 @ A) @ C) ) ) ) ) , file(subset, t4_subset)). thf(t5_subset, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ~ ( ( ( (r2_hidden @ A) @ B) & ( ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ C) ) & (v1_xboole_0 @ C) ) ) ) ) ) ) , file(subset, t5_subset)). thf(t5_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) ) ) => (! [C: $i] : ( ( (k1_funct_1 @ ( (k18_valued_1 @ A) @ B) ) @ C) = ( (k3_xcmplx_0 @ ( (k1_funct_1 @ A) @ C) ) @ ( (k1_funct_1 @ B) @ C) ) ) ) ) ) ) ) , file(valued_1, t5_valued_1)). thf(t6_boole, axiom, (! [A: $i] : ( (v1_xboole_0 @ A) => (A = k1_xboole_0) ) ) , file(boole, t6_boole)). thf(t7_boole, axiom, (! [A: $i] : (! [B: $i] : ~ ( ( ( (r2_hidden @ A) @ B) & (v1_xboole_0 @ B) ) ) ) ) , file(boole, t7_boole)). thf(t7_funcop_1, axiom, (! [A: $i] : (! [B: $i] : (! [C: $i] : ( ( (r2_hidden @ B) @ A) => ( ( (k1_funct_1 @ ( (k2_funcop_1 @ A) @ C) ) @ B) = C) ) ) ) ) , file(funcop_1, t7_funcop_1)). thf(t8_boole, axiom, (! [A: $i] : (! [B: $i] : ~ ( ( (v1_xboole_0 @ A) & ( ~ ( (A = B) ) & (v1_xboole_0 @ B) ) ) ) ) ) , file(boole, t8_boole)). thf(t9_cfdiff_1, axiom, (! [A: $i] : ( ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ k2_numbers) ) => ( (v6_cfdiff_1 @ A) => (! [B: $i] : ( (v1_xcmplx_0 @ B) => ~ ( ( ( (r2_hidden @ B) @ A) & (! [C: $i] : ( ( (m1_cfdiff_1 @ C) @ B) => ~ ( ( (r1_tarski @ C) @ A) ) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, t9_cfdiff_1)). thf(t32_cfdiff_1, conjecture, (! [A: $i] : ( ( (v1_funct_1 @ A) & ( (m1_subset_1 @ A) @ (k1_zfmisc_1 @ ( (k2_zfmisc_1 @ k2_numbers) @ k2_numbers) ) ) ) => (! [B: $i] : ( ( (v6_cfdiff_1 @ B) & ( (m1_subset_1 @ B) @ (k1_zfmisc_1 @ k2_numbers) ) ) => ( ( ( (r1_tarski @ B) @ ( (k1_relset_1 @ k2_numbers) @ A) ) & (v3_funct_1 @ ( ( ( (k5_relset_1 @ k2_numbers) @ k2_numbers) @ A) @ B) ) ) => ( ( (r2_cfdiff_1 @ A) @ B) & (! [C: $i] : ( ( (m1_subset_1 @ C) @ k2_numbers) => ( ( (r2_hidden @ C) @ B) => ( ( ( (k7_partfun1 @ k2_numbers) @ ( (k3_cfdiff_1 @ A) @ B) ) @ C) = k5_complex1) ) ) ) ) ) ) ) ) ) , file(cfdiff_1, t32_cfdiff_1)).