Theorem. (t8_zf_colla)
∀k1_funct_1 : setsetset, ∀esk23_1 : setset, ∀v1_relat_1 : setprop, ∀m1_subset_1 : setsetprop, ∀esk25_2 : setsetset, ∀esk3_3 : setsetsetset, ∀k10_xtuple_0 : setset, ∀esk4_2 : setsetset, ∀esk28_2 : setsetset, ∀r1_tarski : setsetprop, ∀k1_zfmisc_1 : setset, ∀v1_ordinal1 : setprop, ∀v6_membered : setprop, ∀v4_membered : setprop, ∀v2_membered : setprop, ∀v6_ordinal1 : setprop, ∀esk26_1 : setset, ∀esk27_1 : setset, ∀v3_funct_1 : setprop, ∀v1_int_1 : setprop, ∀v1_xreal_0 : setprop, ∀v1_xcmplx_0 : setprop, ∀v2_funct_1 : setprop, ∀v2_ordinal1 : setprop, ∀v7_membered : setprop, ∀k1_xboole_0 : set, ∀esk20_0 : set, ∀esk16_0 : set, ∀esk14_0 : set, ∀esk9_0 : set, ∀esk7_1 : setset, ∀esk8_0 : set, ∀esk17_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk10_0 : set, ∀esk12_0 : set, ∀esk13_0 : set, ∀esk15_0 : set, ∀esk19_0 : set, ∀esk18_0 : set, ∀esk1_0 : set, ∀v5_ordinal1 : setprop, ∀v1_xxreal_0 : setprop, ∀v1_rat_1 : setprop, ∀v7_ordinal1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk2_1 : setset, ∀v1_membered : setprop, ∀v3_membered : setprop, ∀v5_membered : setprop, ∀v4_funct_1 : setprop, ∀esk6_2 : setsetset, ∀esk5_2 : setsetset, ∀v1_funct_1 : setprop, ∀k9_xtuple_0 : setset, ∀esk24_2 : setsetset, ∀r1_ordinal1 : setsetprop, ∀esk22_3 : setsetsetset, ∀v3_ordinal1 : setprop, ∀r2_hidden : setsetprop, ∀esk21_1 : setset, ∀k1_zf_colla : setsetset, ∀v1_xboole_0 : setprop, (∀X1 X2 X5 X4 X3, (v1_xboole_0 X3False)(r1_ordinal1 (esk24_2 X3 X2) X1False)(r2_hidden (esk21_1 X3) (k1_zf_colla X3 (esk22_3 X3 X4 X5))False)X4 = X5v3_ordinal1 X5v3_ordinal1 X1r2_hidden X2 X3r2_hidden X2 (k1_zf_colla X3 X1)r2_hidden (esk21_1 X3) (k1_zf_colla X3 X5)False)(∀X1 X4 X3 X2, (v1_xboole_0 X2False)(r2_hidden X1 (k1_zf_colla X2 (esk24_2 X2 X1))False)(r2_hidden (esk21_1 X2) (k1_zf_colla X2 (esk22_3 X2 X3 X4))False)X3 = X4v3_ordinal1 X4r2_hidden X1 X2r2_hidden (esk21_1 X2) (k1_zf_colla X2 X4)False)(∀X1 X2 X4 X5 X3, (v1_xboole_0 X3False)(r1_ordinal1 (esk24_2 X3 X2) X1False)X4 = X5v3_ordinal1 X4v3_ordinal1 X1r2_hidden X2 X3r2_hidden X2 (k1_zf_colla X3 X1)r1_ordinal1 X4 (esk22_3 X3 X5 X4)r2_hidden (esk21_1 X3) (k1_zf_colla X3 X4)False)(∀X4 X3 X2 X1, ((k1_funct_1 (esk23_1 X1) X2) = (esk24_2 X1 X2)False)(v1_xboole_0 X1False)(r2_hidden (esk21_1 X1) (k1_zf_colla X1 (esk22_3 X1 X3 X4))False)X3 = X4v3_ordinal1 X4r2_hidden X2 X1r2_hidden (esk21_1 X1) (k1_zf_colla X1 X4)False)(∀X2 X4 X3 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk24_2 X1 X2)False)(r2_hidden (esk21_1 X1) (k1_zf_colla X1 (esk22_3 X1 X3 X4))False)X3 = X4v3_ordinal1 X4r2_hidden X2 X1r2_hidden (esk21_1 X1) (k1_zf_colla X1 X4)False)(∀X1 X3 X4 X2, (v1_xboole_0 X2False)(r2_hidden X1 (k1_zf_colla X2 (esk24_2 X2 X1))False)X3 = X4v3_ordinal1 X3r2_hidden X1 X2r1_ordinal1 X3 (esk22_3 X2 X4 X3)r2_hidden (esk21_1 X2) (k1_zf_colla X2 X3)False)(∀X2 X3 X1, ((k9_xtuple_0 (esk23_1 X1)) = X1False)(v1_xboole_0 X1False)(r2_hidden (esk21_1 X1) (k1_zf_colla X1 (esk22_3 X1 X2 X3))False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_relat_1 (esk23_1 X1)False)(r2_hidden (esk21_1 X1) (k1_zf_colla X1 (esk22_3 X1 X2 X3))False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_funct_1 (esk23_1 X1)False)(r2_hidden (esk21_1 X1) (k1_zf_colla X1 (esk22_3 X1 X2 X3))False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X3 X4 X2 X1, ((k1_funct_1 (esk23_1 X1) X2) = (esk24_2 X1 X2)False)(v1_xboole_0 X1False)X3 = X4v3_ordinal1 X3r2_hidden X2 X1r1_ordinal1 X3 (esk22_3 X1 X4 X3)r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X5 X4 X2 X1 X3, (v1_xboole_0 X3False)(v3_ordinal1 (esk22_3 X3 X4 X5)False)(r1_ordinal1 (esk24_2 X3 X2) X1False)X4 = X5v3_ordinal1 X5v3_ordinal1 X1r2_hidden X2 X3r2_hidden X2 (k1_zf_colla X3 X1)r2_hidden (esk21_1 X3) (k1_zf_colla X3 X5)False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk24_2 X1 X2)False)X3 = X4v3_ordinal1 X3r2_hidden X2 X1r1_ordinal1 X3 (esk22_3 X1 X4 X3)r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X4 X3 X1 X2, (v1_xboole_0 X2False)(v3_ordinal1 (esk22_3 X2 X3 X4)False)(r2_hidden X1 (k1_zf_colla X2 (esk24_2 X2 X1))False)X3 = X4v3_ordinal1 X4r2_hidden X1 X2r2_hidden (esk21_1 X2) (k1_zf_colla X2 X4)False)(∀X2 X3 X1, ((k9_xtuple_0 (esk23_1 X1)) = X1False)(v1_xboole_0 X1False)X2 = X3v3_ordinal1 X2r1_ordinal1 X2 (esk22_3 X1 X3 X2)r2_hidden (esk21_1 X1) (k1_zf_colla X1 X2)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_relat_1 (esk23_1 X1)False)X2 = X3v3_ordinal1 X2r1_ordinal1 X2 (esk22_3 X1 X3 X2)r2_hidden (esk21_1 X1) (k1_zf_colla X1 X2)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_funct_1 (esk23_1 X1)False)X2 = X3v3_ordinal1 X2r1_ordinal1 X2 (esk22_3 X1 X3 X2)r2_hidden (esk21_1 X1) (k1_zf_colla X1 X2)False)(∀X3 X4 X2 X1, ((k1_funct_1 (esk23_1 X1) X2) = (esk24_2 X1 X2)False)(v1_xboole_0 X1False)(v3_ordinal1 (esk22_3 X1 X3 X4)False)X3 = X4v3_ordinal1 X4r2_hidden X2 X1r2_hidden (esk21_1 X1) (k1_zf_colla X1 X4)False)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk24_2 X1 X2)False)(v3_ordinal1 (esk22_3 X1 X3 X4)False)X3 = X4v3_ordinal1 X4r2_hidden X2 X1r2_hidden (esk21_1 X1) (k1_zf_colla X1 X4)False)(∀X2 X3 X1, ((k9_xtuple_0 (esk23_1 X1)) = X1False)(v1_xboole_0 X1False)(v3_ordinal1 (esk22_3 X1 X2 X3)False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_relat_1 (esk23_1 X1)False)(v3_ordinal1 (esk22_3 X1 X2 X3)False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v1_funct_1 (esk23_1 X1)False)(v3_ordinal1 (esk22_3 X1 X2 X3)False)X2 = X3v3_ordinal1 X3r2_hidden (esk21_1 X1) (k1_zf_colla X1 X3)False)(∀X1 X2 X4 X3, (v1_xboole_0 X3False)(r1_ordinal1 (esk25_2 X3 X2) X1False)v3_ordinal1 X4v3_ordinal1 X1m1_subset_1 X2 X3r2_hidden X2 (k1_zf_colla X3 X4)r2_hidden X2 (k1_zf_colla X3 X1)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(r2_hidden X1 (k1_zf_colla X2 (esk25_2 X2 X1))False)v3_ordinal1 X3m1_subset_1 X1 X2r2_hidden X1 (k1_zf_colla X2 X3)False)(∀X3 X2 X1, (r2_hidden (esk3_3 X1 X2 X3) (k9_xtuple_0 X1)False)X2 = (k10_xtuple_0 X1)v1_funct_1 X1v1_relat_1 X1r2_hidden X3 X2False)(∀X1 X3 X2, ((k1_funct_1 X2 (esk3_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_funct_1 X2v1_relat_1 X2r2_hidden X1 X3False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk4_2 X1 X2) = (k1_funct_1 X1 X3)v1_funct_1 X1v1_relat_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk4_2 X1 X2) X2False)(∀X2 X1 X3, (v1_xboole_0 X3False)(r2_hidden (esk21_1 X3) X3False)(r1_ordinal1 (esk24_2 X3 X2) X1False)v3_ordinal1 X1r2_hidden X2 X3r2_hidden X2 (k1_zf_colla X3 X1)False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden (esk21_1 X2) X2False)(r2_hidden X1 (k1_zf_colla X2 (esk24_2 X2 X1))False)r2_hidden X1 X2False)(∀X2 X3 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk25_2 X1 X2)False)v3_ordinal1 X3m1_subset_1 X2 X1r2_hidden X2 (k1_zf_colla X1 X3)False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 (k1_zf_colla X2 (esk28_2 X2 X1))False)m1_subset_1 X1 X2False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk5_2 X1 X2)) = (esk4_2 X1 X2)False)(r2_hidden (esk4_2 X1 X2) X2False)v1_funct_1 X1v1_relat_1 X1False)(∀X3 X2 X1, (v1_xboole_0 X1False)(r1_tarski (k1_zf_colla X1 X2) (k1_zf_colla X1 X3)False)v3_ordinal1 X3v3_ordinal1 X2r1_ordinal1 X2 X3False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk4_2 X1 X2) X2False)(r2_hidden (esk5_2 X1 X2) (k9_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1 X3 X4, (r2_hidden X3 X4False)X4 = (k10_xtuple_0 X2)X3 = (k1_funct_1 X2 X1)v1_funct_1 X2v1_relat_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X2 X1, ((k1_funct_1 (esk23_1 X1) X2) = (esk24_2 X1 X2)False)(v1_xboole_0 X1False)(r2_hidden (esk21_1 X1) X1False)r2_hidden X2 X1False)(∀X2 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk24_2 X1 X2)False)(r2_hidden (esk21_1 X1) X1False)r2_hidden X2 X1False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk6_2 X1 X2) X2False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)(v3_ordinal1 (esk28_2 X1 X2)False)m1_subset_1 X2 X1False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk6_2 X1 X2) X1False)False)(∀X2 X1, (v1_xboole_0 X1False)(r1_tarski (k1_zf_colla X1 X2) X1False)v3_ordinal1 X2False)(∀X1 X2, (r1_tarski X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_ordinal1 X1 X2False)(∀X1 X2, (r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1r1_tarski X1 X2False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (X1 = X2False)r1_tarski X2 X1r1_tarski X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (r1_tarski X2 X1False)v1_ordinal1 X1r2_hidden X2 X1False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 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)(∀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_ordinal1 X2False)v6_ordinal1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (r1_ordinal1 X2 X1False)(r1_ordinal1 X1 X2False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (r1_tarski X1 (esk27_1 X1)False)(r2_hidden (esk26_1 X1) X1False)False)(∀X1, (r1_tarski X1 (esk27_1 X1)False)v3_ordinal1 (esk26_1 X1)False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v1_ordinal1 X1False)r1_tarski (esk2_1 X1) X1False)(∀X1, ((k9_xtuple_0 (esk23_1 X1)) = X1False)(v1_xboole_0 X1False)(r2_hidden (esk21_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(v1_relat_1 (esk23_1 X1)False)(r2_hidden (esk21_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(v1_funct_1 (esk23_1 X1)False)(r2_hidden (esk21_1 X1) X1False)False)(∀X1, (v1_zfmisc_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 (k9_xtuple_0 X1)False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 (k10_xtuple_0 X1)False)(∀X2 X1, (v1_relat_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, (v1_funct_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀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 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1v3_funct_1 X1False)(∀X1, (v3_ordinal1 (k9_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1v5_ordinal1 X1False)(∀X1, (v3_ordinal1 (esk27_1 X1)False)(r2_hidden (esk26_1 X1) X1False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (r1_ordinal1 X1 X1False)v3_ordinal1 X2v3_ordinal1 X1False)(∀X1, (k1_zf_colla esk1_0 X1) = esk1_0v3_ordinal1 X1False)(∀X1, (v3_ordinal1 (esk27_1 X1)False)v3_ordinal1 (esk26_1 X1)False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_funct_1 X1v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v2_funct_1 X1False)v1_xboole_0 X1v1_funct_1 X1v1_relat_1 X1False)(∀X1, (v1_ordinal1 X1False)(r2_hidden (esk2_1 X1) X1False)False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (r1_tarski X1 X2False)X1 = X2False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(v3_funct_1 esk18_0False)(v1_xboole_0 esk20_0False)(v1_xboole_0 esk19_0False)(v1_xboole_0 esk16_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 esk13_0False)(v1_xboole_0 esk9_0False)(v1_xboole_0 esk1_0False)(∀X1, (m1_subset_1 (esk7_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((v4_funct_1 esk20_0False)False)((v2_funct_1 esk12_0False)False)((v1_relat_1 esk18_0False)False)((v1_relat_1 esk12_0False)False)((v1_relat_1 esk8_0False)False)((v7_membered esk16_0False)False)((v2_ordinal1 esk14_0False)False)((v1_ordinal1 esk14_0False)False)((v1_funct_1 esk18_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk8_0False)False)((v7_ordinal1 esk19_0False)False)((v7_ordinal1 esk17_0False)False)((v6_membered esk16_0False)False)((v6_membered esk13_0False)False)((v6_membered esk9_0False)False)((v3_ordinal1 esk14_0False)False)((v3_ordinal1 esk10_0False)False)((v1_xboole_0 esk11_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.