Theorem. (t29_cfunct_1)
∀k9_subset_1 : setsetsetset, ∀v1_membered : setprop, ∀k18_valued_1 : setsetset, ∀v1_valued_0 : setprop, ∀v1_relat_1 : setprop, ∀k3_xcmplx_0 : setsetset, ∀esk5_3 : setsetsetset, ∀k3_xboole_0 : setsetset, ∀k9_xtuple_0 : setset, ∀k55_valued_1 : setsetsetset, ∀k4_numbers : set, ∀v5_membered : setprop, ∀v4_valued_0 : setprop, ∀v6_membered : setprop, ∀v2_valued_0 : setprop, ∀v2_membered : setprop, ∀esk8_2 : setsetset, ∀v3_xxreal_0 : setprop, ∀v1_xreal_0 : setprop, ∀v1_int_1 : setprop, ∀v7_ordinal1 : setprop, ∀v2_seq_2 : setprop, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk13_0 : set, ∀esk10_2 : setsetset, ∀k4_ordinal1 : set, ∀esk16_0 : set, ∀esk12_0 : set, ∀o_0_0_xboole_0 : set, ∀esk17_0 : set, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk7_1 : setset, ∀esk9_0 : set, ∀esk15_0 : set, ∀v1_finset_1 : setprop, ∀k1_xboole_0 : set, ∀v7_membered : setprop, ∀np__1 : set, ∀k16_complex1 : setset, ∀k5_numbers : set, ∀r1_tarski : setsetprop, ∀v1_xxreal_0 : setprop, ∀v1_rat_1 : setprop, ∀k8_real_1 : setsetset, ∀v2_xxreal_0 : setprop, ∀v1_xcmplx_0 : setprop, ∀v4_relat_1 : setsetprop, ∀v4_membered : setprop, ∀k3_numbers : set, ∀m2_subset_1 : setsetsetprop, ∀v5_relat_1 : setsetprop, ∀v3_valued_0 : setprop, ∀k17_complex1 : setset, ∀esk4_2 : setsetset, ∀k54_valued_1 : setset, ∀esk6_3 : setsetsetset, ∀r2_relset_1 : setsetsetsetprop, ∀esk18_4 : setsetsetsetset, ∀k1_funct_1 : setsetset, ∀k1_numbers : set, ∀k20_valued_1 : setsetsetsetsetset, ∀v3_membered : setprop, ∀v1_xboole_0 : setprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀r2_hidden : setsetprop, ∀k1_relset_1 : setsetset, ∀m1_subset_1 : setsetprop, ∀v1_funct_1 : setprop, ∀k19_valued_1 : setsetsetsetsetset, ∀k9_complex1 : setsetset, ∀k2_numbers : set, ∀k7_partfun1 : setsetsetset, (∀X4 X1 X3 X2, ((k7_partfun1 k2_numbers (k19_valued_1 X2 k2_numbers k2_numbers X3 X4) X1) = (k9_complex1 (k7_partfun1 k2_numbers X3 X1) (k7_partfun1 k2_numbers X4 X1))False)(v1_xboole_0 X2False)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X1 X2m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 k2_numbers))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X2 k2_numbers))r2_hidden X1 (k1_relset_1 X2 (k19_valued_1 X2 k2_numbers k2_numbers X3 X4))False)(∀X3 X2 X1, ((k9_subset_1 X1 (k1_relset_1 X1 X2) (k1_relset_1 X1 X3)) = (k1_relset_1 X1 (k19_valued_1 X1 k2_numbers k2_numbers X2 X3))False)(v1_xboole_0 X1False)v1_funct_1 X3v1_funct_1 X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers))m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers))False)(∀X4 X2 X1 X3 X5, (m1_subset_1 (k20_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X5v1_funct_1 X4v3_membered X3v3_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3 X5, (m1_subset_1 (k19_valued_1 X1 X2 X3 X4 X5) (k1_zfmisc_1 (k2_zfmisc_1 X1 k2_numbers))False)v1_funct_1 X5v1_funct_1 X4v1_membered X3v1_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3 X5, (v1_funct_1 (k20_valued_1 X1 X2 X3 X4 X5)False)v1_funct_1 X5v1_funct_1 X4v3_membered X3v3_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X1 X3 X5, (v1_funct_1 (k19_valued_1 X1 X2 X3 X4 X5)False)v1_funct_1 X5v1_funct_1 X4v1_membered X3v1_membered X2m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X3 X1 X4 X2 X5, ((k20_valued_1 X4 X1 X2 X3 X5) = (k20_valued_1 X4 X1 X2 X5 X3)False)v1_funct_1 X5v1_funct_1 X3v3_membered X2v3_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X3 X1 X4 X2 X5, ((k19_valued_1 X4 X1 X2 X3 X5) = (k19_valued_1 X4 X1 X2 X5 X3)False)v1_funct_1 X5v1_funct_1 X3v1_membered X2v1_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X2 X3 X1 X4, (X1 = X4False)(k1_relset_1 X2 X1) = (k1_relset_1 X2 X4)(k1_funct_1 X1 (esk18_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk18_4 X2 X3 X1 X4))v1_funct_1 X4v1_funct_1 X1m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X1 X4 X2 X5, ((k20_valued_1 X4 X1 X2 X3 X5) = (k18_valued_1 X3 X5)False)v1_funct_1 X5v1_funct_1 X3v3_membered X2v3_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X3 X1 X4 X2 X5, ((k19_valued_1 X4 X1 X2 X3 X5) = (k18_valued_1 X3 X5)False)v1_funct_1 X5v1_funct_1 X3v1_membered X2v1_membered X1m1_subset_1 X5 (k1_zfmisc_1 (k2_zfmisc_1 X4 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X4 X1))False)(∀X2 X1 X3, (X1 = (k18_valued_1 X2 X3)False)(k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3))(k3_xcmplx_0 (k1_funct_1 X2 (esk5_3 X2 X3 X1)) (k1_funct_1 X3 (esk5_3 X2 X3 X1))) = (k1_funct_1 X1 (esk5_3 X2 X3 X1))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_valued_0 X3v1_valued_0 X2False)(∀X4 X1 X2 X3, (r2_relset_1 X2 X3 X4 X1False)r2_relset_1 X2 X3 X1 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2 X3 X4, (X3 = X4False)(r2_hidden (esk18_4 X1 X2 X3 X4) (k1_relset_1 X1 X3)False)(k1_relset_1 X1 X3) = (k1_relset_1 X1 X4)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X2 X3 X4, (X3 = X4False)(m1_subset_1 (esk18_4 X1 X2 X3 X4) X1False)(k1_relset_1 X1 X3) = (k1_relset_1 X1 X4)v1_funct_1 X4v1_funct_1 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X2 X1 X3 X4, (X3 = X4False)r2_relset_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)r2_hidden (esk6_3 X1 X2 X3) X3r2_hidden (esk6_3 X1 X2 X3) X2r2_hidden (esk6_3 X1 X2 X3) X1False)(∀X4 X3 X1 X2, (r2_relset_1 X3 X4 X1 X2False)X1 = X2m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X4))False)(∀X4 X1 X3 X2, (r2_relset_1 X2 X3 X1 X1False)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, ((k55_valued_1 X3 X1 (k55_valued_1 X3 X1 X2)) = (k55_valued_1 X3 X1 X2)False)v1_funct_1 X2v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X2 X1 X3, (m1_subset_1 (k55_valued_1 X1 X2 X3) (k1_zfmisc_1 (k2_zfmisc_1 X1 k1_numbers))False)v1_funct_1 X3v1_membered X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk6_3 X1 X2 X3) X3False)(r2_hidden (esk6_3 X1 X2 X3) X1False)False)(∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk6_3 X1 X2 X3) X3False)(r2_hidden (esk6_3 X1 X2 X3) X2False)False)(∀X1 X2, (X1 = (k54_valued_1 X2)False)(k9_xtuple_0 X1) = (k9_xtuple_0 X2)(k1_funct_1 X1 (esk4_2 X2 X1)) = (k17_complex1 (k1_funct_1 X2 (esk4_2 X2 X1)))v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v3_valued_0 X1False)(∀X2 X1 X3, (X3 = (k18_valued_1 X1 X2)False)(r2_hidden (esk5_3 X1 X2 X3) (k9_xtuple_0 X3)False)(k9_xtuple_0 X3) = (k3_xboole_0 (k9_xtuple_0 X1) (k9_xtuple_0 X2))v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X2 X1 X3, (v1_funct_1 (k55_valued_1 X1 X2 X3)False)v1_funct_1 X3v1_membered X2m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X1 X3 X4 X2, ((k1_funct_1 X2 X1) = (k3_xcmplx_0 (k1_funct_1 X3 X1) (k1_funct_1 X4 X1))False)X2 = (k18_valued_1 X3 X4)v1_funct_1 X4v1_funct_1 X3v1_funct_1 X2v1_relat_1 X4v1_relat_1 X3v1_relat_1 X2v1_valued_0 X4v1_valued_0 X3r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X3 X2, ((k55_valued_1 X3 X1 X2) = (k54_valued_1 X2)False)v1_funct_1 X2v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, (m1_subset_1 (k7_partfun1 X2 X1 X3) X2False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 X2False)(∀X3 X1 X2, ((k3_xcmplx_0 (k1_funct_1 X1 X3) (k1_funct_1 X2 X3)) = (k1_funct_1 (k18_valued_1 X1 X2) X3)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X3 X1, ((k7_partfun1 X2 X1 X3) = (k1_funct_1 X1 X3)False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 X2r2_hidden X3 (k9_xtuple_0 X1)False)(∀X1 X3 X2, (v5_relat_1 X2 k3_numbersFalse)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v5_relat_1 X2 k4_numbersFalse)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X1 X2 X3, ((k1_funct_1 X2 X1) = (k17_complex1 (k1_funct_1 X3 X1))False)X2 = (k54_valued_1 X3)v1_funct_1 X3v1_funct_1 X2v1_relat_1 X3v1_relat_1 X2v1_valued_0 X3v3_valued_0 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X3 X2, (v4_valued_0 X2False)v6_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v3_valued_0 X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v2_valued_0 X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v1_valued_0 X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X1 X3 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk8_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X1 X3, ((k9_xtuple_0 X1) = (k3_xboole_0 (k9_xtuple_0 X2) (k9_xtuple_0 X3))False)X1 = (k18_valued_1 X2 X3)v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_valued_0 X3v1_valued_0 X2False)(∀X1 X2, (X2 = (k54_valued_1 X1)False)(r2_hidden (esk4_2 X1 X2) (k9_xtuple_0 X2)False)(k9_xtuple_0 X1) = (k9_xtuple_0 X2)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X1v3_valued_0 X2False)(∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3))False)v1_xcmplx_0 X3v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k3_xboole_0 X2 X3)r2_hidden X1 X3r2_hidden X1 X2False)(∀X2 X1, (m1_subset_1 (k9_complex1 X1 X2) k2_numbersFalse)m1_subset_1 X2 k2_numbersm1_subset_1 X1 k2_numbersFalse)(∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2False)v1_relat_1 X3v1_relat_1 X1v5_relat_1 X1 X2False)(∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X1 X2, (v1_relat_1 (k18_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X1 X2, (v1_funct_1 (k18_valued_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k3_numbersFalse)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X1 k3_numbersFalse)(∀X2 X1, (v5_relat_1 (k3_xboole_0 X1 X2) k4_numbersFalse)v1_relat_1 X2v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X1 X2, (v5_relat_1 X2 k3_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k3_numbersm1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_relat_1 X2 k4_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k4_numbersm1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, ((k17_complex1 (k1_funct_1 X1 X2)) = (k1_funct_1 (k54_valued_1 X1) X2)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1 X2, (v3_xxreal_0 X2False)(v3_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X2 X1, (v2_xxreal_0 X1False)(v3_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X2 X1, (v2_xxreal_0 X1False)(v3_xxreal_0 X2False)v1_xreal_0 X2v1_xreal_0 X1v2_xxreal_0 (k3_xcmplx_0 X2 X1)False)(∀X1 X2, (v2_xxreal_0 X2False)(v2_xxreal_0 X1False)v1_xreal_0 X2v1_xreal_0 X1v3_xxreal_0 (k3_xcmplx_0 X1 X2)False)(∀X1 X2, ((k18_valued_1 X1 X2) = (k18_valued_1 X2 X1)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v1_valued_0 X1False)(∀X2 X1, ((k8_real_1 (k17_complex1 X1) (k17_complex1 X2)) = (k17_complex1 (k3_xcmplx_0 X1 X2))False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, ((k9_complex1 X1 X2) = (k9_complex1 X2 X1)False)m1_subset_1 X2 k2_numbersm1_subset_1 X1 k2_numbersFalse)(∀X2 X1, ((k9_complex1 X1 X2) = (k3_xcmplx_0 X1 X2)False)m1_subset_1 X2 k2_numbersm1_subset_1 X1 k2_numbersFalse)(∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbersFalse)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (v1_int_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X2 X1, (v1_rat_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v5_relat_1 X1 k3_numbersFalse)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X2 X4)r2_hidden X1 X3False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X4 X2)r2_hidden X1 X3False)(∀X1 X2, ((k9_xtuple_0 X1) = (k9_xtuple_0 X2)False)X1 = (k54_valued_1 X2)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v1_valued_0 X2v3_valued_0 X1False)(∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2)False)v1_xreal_0 X2m1_subset_1 X1 k1_numbersFalse)(∀X2 X1, (v7_ordinal1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_valued_0 X1False)(∀X2 X1, (v4_valued_0 (k3_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v4_valued_0 X1False)(∀X2 X1, (v1_xreal_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X2 X1, (v1_xxreal_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v2_valued_0 X1False)(∀X2 X1, (v3_valued_0 (k3_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v3_valued_0 X1False)(∀X2 X1, (v1_xcmplx_0 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X2 X1, (v2_valued_0 (k3_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v2_valued_0 X1False)(∀X2 X1, (v1_valued_0 (k3_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_valued_0 X1False)(∀X1 X2, (v4_valued_0 X2False)v1_relat_1 X1v4_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_valued_0 X2False)v1_relat_1 X1v3_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_valued_0 X2False)v1_relat_1 X1v2_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_valued_0 X2False)v1_relat_1 X1v1_valued_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k3_numbersFalse)v4_membered X1False)(∀X2 X1, (v5_relat_1 (k2_zfmisc_1 X2 X1) k4_numbersFalse)v5_membered X1False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2)False)v1_xreal_0 X2v1_xreal_0 X1False)(∀X1 X2, (v4_membered X2False)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_membered X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_membered X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_membered X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_membered X2False)v6_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1)False)v1_xcmplx_0 X2v1_xcmplx_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v5_relat_1 X1 k3_numbersFalse)v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X2 X1, (v4_valued_0 (k2_zfmisc_1 X2 X1)False)v6_membered X1False)(∀X2 X1, (v4_membered (k3_xboole_0 X1 X2)False)v4_membered X1False)(∀X2 X1, (v4_membered (k3_xboole_0 X2 X1)False)v4_membered X1False)(∀X2 X1, (v3_membered (k3_xboole_0 X1 X2)False)v3_membered X1False)(∀X2 X1, (v3_membered (k3_xboole_0 X2 X1)False)v3_membered X1False)(∀X2 X1, (v2_membered (k3_xboole_0 X1 X2)False)v2_membered X1False)(∀X2 X1, (v2_membered (k3_xboole_0 X2 X1)False)v2_membered X1False)(∀X2 X1, (v3_valued_0 (k2_zfmisc_1 X2 X1)False)v3_membered X1False)(∀X2 X1, (v1_membered (k3_xboole_0 X1 X2)False)v1_membered X1False)(∀X2 X1, (v1_membered (k3_xboole_0 X2 X1)False)v1_membered X1False)(∀X2 X1, (v2_valued_0 (k2_zfmisc_1 X2 X1)False)v2_membered X1False)(∀X2 X1, (v6_membered (k3_xboole_0 X1 X2)False)v6_membered X1False)(∀X2 X1, (v6_membered (k3_xboole_0 X2 X1)False)v6_membered X1False)(∀X2 X1, (v1_valued_0 (k2_zfmisc_1 X2 X1)False)v1_membered X1False)(∀X2 X1, (v5_membered (k3_xboole_0 X1 X2)False)v5_membered X1False)(∀X2 X1, (v5_membered (k3_xboole_0 X2 X1)False)v5_membered X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, ((k54_valued_1 (k54_valued_1 X1)) = (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_rat_1 X2False)v4_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered X1m1_subset_1 X2 X1False)(∀X1, (v2_seq_2 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v3_valued_0 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v3_valued_0 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1, (v1_relat_1 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v1_relat_1 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1, (v1_funct_1 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v1_funct_1 (k54_valued_1 X1)False)v1_funct_1 X1v1_relat_1 X1v1_valued_0 X1False)(∀X1, (v4_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k5_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k3_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k4_numbersFalse)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k1_numbersFalse)(∀X1, (v1_valued_0 X1False)v1_relat_1 X1v5_relat_1 X1 k2_numbersFalse)(∀X1, (v4_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k3_numbers)False)(∀X1, (v3_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X1, (v1_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k2_numbers)False)(∀X1, (v6_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k5_numbers)False)(∀X1, (v5_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k4_numbers)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v5_relat_1 X1 k3_numbersFalse)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (v5_relat_1 X1 k4_numbersFalse)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (m1_subset_1 (k17_complex1 X1) k1_numbersFalse)v1_xcmplx_0 X1False)(∀X1, (v1_xreal_0 X1False)m1_subset_1 X1 k1_numbersFalse)(∀X1, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, ((k16_complex1 (k16_complex1 X1)) = (k16_complex1 X1)False)v1_xcmplx_0 X1False)(∀X1, ((k17_complex1 (k17_complex1 X1)) = (k17_complex1 X1)False)v1_xcmplx_0 X1False)(∀X1, ((k3_xcmplx_0 np__1 X1) = X1False)v1_xcmplx_0 X1False)(∀X1, (v4_valued_0 X1False)v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v3_valued_0 X1False)v1_relat_1 X1v4_valued_0 X1False)(∀X1, (v2_valued_0 X1False)v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v1_valued_0 X1False)v1_relat_1 X1v3_valued_0 X1False)(∀X1, (v1_xreal_0 (k16_complex1 X1)False)v1_xcmplx_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, ((k17_complex1 X1) = (k16_complex1 X1)False)v1_xcmplx_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v1_xreal_0 X1False)v7_ordinal1 X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v1_xxreal_0 X1False)v1_xreal_0 X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_xcmplx_0 X1False)v1_xreal_0 X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_relset_1 esk1_0 k1_numbers (k55_valued_1 esk1_0 k2_numbers (k19_valued_1 esk1_0 k2_numbers k2_numbers esk2_0 esk3_0)) (k20_valued_1 esk1_0 k1_numbers k1_numbers (k55_valued_1 esk1_0 k2_numbers esk2_0) (k55_valued_1 esk1_0 k2_numbers esk3_0))False)(v1_finset_1 k3_numbersFalse)(v1_finset_1 k4_numbersFalse)(v1_finset_1 k1_numbersFalse)(v1_finset_1 k2_numbersFalse)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk13_0False)(v1_xboole_0 esk9_0False)(v1_xboole_0 esk1_0False)(v1_xboole_0 np__1False)(v1_xboole_0 k3_numbersFalse)(v1_xboole_0 k4_numbersFalse)(v1_xboole_0 k1_numbersFalse)(v1_xboole_0 k2_numbersFalse)(∀X2 X1, (m1_subset_1 (esk10_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k2_numbers))False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k2_zfmisc_1 esk1_0 k2_numbers))False)False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X1 X2, (v4_relat_1 (esk10_2 X1 X2) X1False)False)(∀X2 X1, (v5_relat_1 (esk10_2 X1 X2) X2False)False)(∀X1 X2, (v1_relat_1 (esk10_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk10_2 X1 X2)False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk7_1 X1) X1False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((m1_subset_1 np__1 k5_numbersFalse)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)(((k3_xcmplx_0 np__1 np__1) = np__1False)False)((v3_xxreal_0 esk16_0False)False)((v2_xxreal_0 esk14_0False)False)((v2_xxreal_0 np__1False)False)((v7_membered esk15_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k3_numbersFalse)False)((v7_membered k4_numbersFalse)False)((v7_membered k1_numbersFalse)False)((v7_membered k2_numbersFalse)False)((v4_valued_0 esk11_0False)False)((v4_membered k3_numbersFalse)False)((v1_xreal_0 esk17_0False)False)((v1_xreal_0 esk16_0False)False)((v1_xreal_0 esk14_0False)False)((v1_xreal_0 esk12_0False)False)((v3_membered k1_numbersFalse)False)((v1_xxreal_0 esk17_0False)False)((v1_xxreal_0 esk16_0False)False)((v1_xxreal_0 esk14_0False)False)((v1_xcmplx_0 esk17_0False)False)((v1_xcmplx_0 esk16_0False)False)((v1_xcmplx_0 esk14_0False)False)((v1_membered k2_numbersFalse)False)((v6_membered esk15_0False)False)((v6_membered esk13_0False)False)((v6_membered esk9_0False)False)((v6_membered k4_ordinal1False)False)((v1_relat_1 esk11_0False)False)((v5_membered k4_numbersFalse)False)((v1_funct_1 esk11_0False)False)((v1_funct_1 esk3_0False)False)((v1_funct_1 esk2_0False)False)((v1_xboole_0 esk17_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((k5_numbers = k4_ordinal1False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.