Theorem. (t8_classes1)
∀k9_xtuple_0 : setset, ∀v1_funct_1 : setprop, ∀v5_ordinal1 : setprop, ∀v4_ordinal1 : setprop, ∀v1_relat_1 : setprop, ∀esk31_3 : setsetsetset, ∀k1_funct_1 : setsetset, ∀k3_tarski : setset, ∀k10_xtuple_0 : setset, ∀k3_xboole_0 : setsetset, ∀esk26_3 : setsetsetset, ∀esk25_3 : setsetsetset, ∀a_2_5_classes1 : setsetset, ∀k3_classes1 : setsetset, ∀esk30_3 : setsetsetset, ∀esk27_3 : setsetsetset, ∀esk24_2 : setsetset, ∀v1_subset_1 : setsetprop, ∀v3_relat_1 : setprop, ∀v6_ordinal1 : setprop, ∀v1_setfam_1 : setprop, ∀esk11_1 : setset, ∀esk4_1 : setset, ∀v2_funct_1 : setprop, ∀v1_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀esk8_1 : setset, ∀esk20_0 : set, ∀esk15_0 : set, ∀esk9_0 : set, ∀esk6_0 : set, ∀esk10_0 : set, ∀esk22_0 : set, ∀esk23_0 : set, ∀o_0_0_xboole_0 : set, ∀esk17_0 : set, ∀esk7_0 : set, ∀esk5_0 : set, ∀esk14_1 : setset, ∀esk19_1 : setset, ∀esk12_0 : set, ∀esk13_0 : set, ∀esk18_0 : set, ∀esk21_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_1 : setset, ∀esk16_1 : setset, ∀v3_funct_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀v4_funct_1 : setprop, ∀v7_ordinal1 : setprop, ∀v2_relat_1 : setprop, ∀v1_xboole_0 : setprop, ∀m1_subset_1 : setsetprop, ∀r1_tarski : setsetprop, ∀esk28_3 : setsetsetset, ∀esk29_3 : setsetsetset, ∀r2_hidden : setsetprop, ∀a_2_4_classes1 : setsetset, ∀k2_xboole_0 : setsetset, ∀k1_xboole_0 : set, ∀k2_classes1 : setsetset, ∀a_2_0_classes1 : setsetset, ∀a_2_1_classes1 : setsetset, ∀k8_subset_1 : setsetsetset, ∀k1_classes1 : setset, ∀k1_zfmisc_1 : setset, ∀v3_ordinal1 : setprop, (∀X2 X1, ((k2_xboole_0 (k2_xboole_0 (a_2_0_classes1 X2 X1) (a_2_1_classes1 X2 X1)) (k8_subset_1 (k1_zfmisc_1 (k2_classes1 X2 X1)) (k1_zfmisc_1 (k2_classes1 X2 X1)) (k1_classes1 X2))) = (k2_classes1 X2 (k2_xboole_0 X1 (k2_classes1 X1 k1_xboole_0)))False)v3_ordinal1 X1False)(∀X1 X2 X3, (X3 = k1_xboole_0False)((k2_classes1 X2 X3) = (k3_xboole_0 (k3_tarski (k10_xtuple_0 X1)) (k1_classes1 X2))False)(k9_xtuple_0 X1) = X3(k2_classes1 X2 (esk31_3 X2 X3 X1)) = (k1_funct_1 X1 (esk31_3 X2 X3 X1))v3_ordinal1 X3v1_relat_1 X1v1_funct_1 X1v5_ordinal1 X1v4_ordinal1 X3False)(∀X2 X1 X3, (r1_tarski (esk28_3 X1 X2 X3) (esk29_3 X1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_4_classes1 X2 X3)False)(∀X2 X1 X3, (r1_tarski (esk25_3 X1 X2 X3) (esk26_3 X1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_0_classes1 X2 X3)False)(∀X3 X1 X2, (X2 = k1_xboole_0False)((k2_classes1 X1 X2) = (k3_xboole_0 (k3_tarski (k10_xtuple_0 X3)) (k1_classes1 X1))False)(r2_hidden (esk31_3 X1 X2 X3) X2False)(k9_xtuple_0 X3) = X2v3_ordinal1 X2v1_relat_1 X3v1_funct_1 X3v5_ordinal1 X3v4_ordinal1 X2False)(∀X2 X1 X3, (r2_hidden (esk30_3 X1 X2 X3) (k3_classes1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_5_classes1 X2 X3)False)(∀X2 X1 X3, (r2_hidden (esk29_3 X1 X2 X3) (k3_classes1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_4_classes1 X2 X3)False)(∀X2 X1 X3, (r2_hidden (esk27_3 X1 X2 X3) (k2_classes1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_1_classes1 X2 X3)False)(∀X2 X1 X3, (r2_hidden (esk26_3 X1 X2 X3) (k2_classes1 X2 X3)False)v3_ordinal1 X3r2_hidden X1 (a_2_0_classes1 X2 X3)False)(∀X3 X1 X2, (X2 = k1_xboole_0False)((k2_classes1 X1 X2) = (k3_xboole_0 (k3_tarski (k10_xtuple_0 X3)) (k1_classes1 X1))False)(v3_ordinal1 (esk31_3 X1 X2 X3)False)(k9_xtuple_0 X3) = X2v3_ordinal1 X2v1_relat_1 X3v1_funct_1 X3v5_ordinal1 X3v4_ordinal1 X2False)(∀X1 X4 X2 X5 X3, (r2_hidden X3 (a_2_0_classes1 X2 X5)False)X1 = X3v3_ordinal1 X5r1_tarski X1 X4m1_subset_1 X4 (k1_classes1 X2)m1_subset_1 X1 (k1_classes1 X2)r2_hidden X4 (k2_classes1 X2 X5)False)(∀X1 X4 X2 X5 X3, (r2_hidden X3 (a_2_4_classes1 X2 X5)False)X1 = X3v3_ordinal1 X5r1_tarski X1 X4m1_subset_1 X4 (k1_classes1 X2)m1_subset_1 X1 (k1_classes1 X2)r2_hidden X4 (k3_classes1 X2 X5)False)(∀X2 X1 X3, (m1_subset_1 (esk30_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_5_classes1 X2 X3)False)(∀X2 X1 X3, (m1_subset_1 (esk29_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_4_classes1 X2 X3)False)(∀X2 X1 X3, (m1_subset_1 (esk28_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_4_classes1 X2 X3)False)(∀X2 X1 X3, (m1_subset_1 (esk27_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_1_classes1 X2 X3)False)(∀X2 X1 X3, (m1_subset_1 (esk26_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_0_classes1 X2 X3)False)(∀X2 X1 X3, (m1_subset_1 (esk25_3 X1 X2 X3) (k1_classes1 X2)False)v3_ordinal1 X3r2_hidden X1 (a_2_0_classes1 X2 X3)False)(∀X2 X1 X3, ((k1_zfmisc_1 (esk30_3 X1 X2 X3)) = X1False)v3_ordinal1 X3r2_hidden X1 (a_2_5_classes1 X2 X3)False)(∀X2 X1 X3, ((k1_zfmisc_1 (esk27_3 X1 X2 X3)) = X1False)v3_ordinal1 X3r2_hidden X1 (a_2_1_classes1 X2 X3)False)(∀X3 X2 X1, (m1_subset_1 (k8_subset_1 X2 X1 X3) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1 X2 X4 X3, (r2_hidden X3 (a_2_1_classes1 X2 X4)False)X3 = (k1_zfmisc_1 X1)v3_ordinal1 X4m1_subset_1 X1 (k1_classes1 X2)r2_hidden X1 (k2_classes1 X2 X4)False)(∀X1 X2 X4 X3, (r2_hidden X3 (a_2_5_classes1 X2 X4)False)X3 = (k1_zfmisc_1 X1)v3_ordinal1 X4m1_subset_1 X1 (k1_classes1 X2)r2_hidden X1 (k3_classes1 X2 X4)False)(∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k8_subset_1 X2 X3 X1)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, v3_ordinal1 X1v1_xboole_0 (k2_xboole_0 X1 (k2_classes1 X1 k1_xboole_0))False)(∀X2 X1 X3, ((esk28_3 X1 X2 X3) = X1False)v3_ordinal1 X3r2_hidden X1 (a_2_4_classes1 X2 X3)False)(∀X2 X1 X3, ((esk25_3 X1 X2 X3) = X1False)v3_ordinal1 X3r2_hidden X1 (a_2_0_classes1 X2 X3)False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk24_2 X3 X2)False)(∀X2 X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_funct_1 X1v2_relat_1 X1v1_xboole_0 (k1_funct_1 X1 X2)m1_subset_1 X2 (k9_xtuple_0 X1)False)(∀X3 X2 X1, ((k8_subset_1 X2 X1 X3) = (k3_xboole_0 X1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v7_ordinal1 (k2_xboole_0 X1 (k2_classes1 X1 k1_xboole_0))False)v3_ordinal1 X1v7_ordinal1 X1False)(∀X2 X1, ((k8_subset_1 X2 X1 X1) = X1False)m1_subset_1 X1 (k1_zfmisc_1 X2)False)(∀X1, (v3_ordinal1 (k2_xboole_0 X1 (k2_classes1 X1 k1_xboole_0))False)v3_ordinal1 X1False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (m1_subset_1 (k3_classes1 X2 X1) (k1_zfmisc_1 (k1_classes1 X2))False)v3_ordinal1 X1False)(∀X2 X1, (m1_subset_1 (k3_classes1 X2 X1) (k1_zfmisc_1 (k1_classes1 X2))False)v3_ordinal1 X1False)(∀X2 X1, (r2_hidden (esk24_2 X1 X2) X2False)r2_hidden X1 X2False)(∀X2 X1, v1_xboole_0 X1v1_subset_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X1 X2)False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 (k2_xboole_0 X2 X1)False)(∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v3_relat_1 X1False)(∀X1 X2, (v1_funct_1 X2False)v1_relat_1 X1v1_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀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, (v1_relat_1 (k2_xboole_0 X1 X2)False)v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 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)(∀X1 X2, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_relat_1 X2False)v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_zfmisc_1 X2False)v1_zfmisc_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2)False)r1_tarski X1 X2False)(∀X1, (v4_funct_1 (k2_classes1 X1 k1_xboole_0)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X2 X1, (v1_relat_1 (k3_xboole_0 X1 X2)False)v1_relat_1 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 (k10_xtuple_0 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 (k9_xtuple_0 X1)False)(∀X2 X1, ((k3_classes1 X2 X1) = (k2_classes1 X2 X1)False)v3_ordinal1 X1False)(∀X2 X1, ((k3_classes1 X2 X1) = (k2_classes1 X2 X1)False)v3_ordinal1 X1False)(∀X2 X1, (v1_funct_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X2 X1, (v1_relat_1 X1False)v4_funct_1 X2m1_subset_1 X1 X2False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1, (v1_setfam_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1v2_relat_1 X1False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1v3_funct_1 X1False)(∀X1, (v3_ordinal1 (k9_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1v5_ordinal1 X1False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk3_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_zfmisc_1 X1False)(m1_subset_1 (esk4_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k10_xtuple_0 X1)False)(∀X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k9_xtuple_0 X1)False)(∀X1, (v2_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v3_funct_1 X1False)v1_zfmisc_1 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v3_funct_1 X1False)v1_zfmisc_1 X1v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk11_1 X1) X1False)False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_zfmisc_1 X1v1_relat_1 X1False)(∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1)False)v1_zfmisc_1 X1v1_relat_1 X1False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk16_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk3_1 X1)False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk4_1 X1)False)(∀X1, (v3_relat_1 X1False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1, (v2_relat_1 X1False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X1, (v1_xboole_0 (k10_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k9_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v3_ordinal1 (k3_tarski X1)False)v3_ordinal1 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_zfmisc_1 (esk3_1 X1)False)False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v5_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v2_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v1_ordinal1 X1False)v3_ordinal1 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v6_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_relat_1 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)((k2_xboole_0 (k2_xboole_0 (a_2_4_classes1 esk1_0 esk2_0) (a_2_5_classes1 esk1_0 esk2_0)) (k8_subset_1 (k1_zfmisc_1 (k3_classes1 esk1_0 esk2_0)) (k1_zfmisc_1 (k3_classes1 esk1_0 esk2_0)) (k1_classes1 esk1_0))) = (k3_classes1 esk1_0 (k2_xboole_0 esk2_0 (k2_classes1 esk2_0 k1_xboole_0)))False)(∀X1, v1_xboole_0 (k2_xboole_0 X1 (k2_classes1 X1 k1_xboole_0))False)(∀X1, v1_xboole_0 (k2_classes1 X1 k1_xboole_0)False)(∀X1, v1_subset_1 (esk8_1 X1) X1False)(∀X1, v1_xboole_0 (k1_classes1 X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(v1_xboole_0 esk21_0False)(v1_xboole_0 esk20_0False)(v1_xboole_0 esk18_0False)(v1_xboole_0 esk15_0False)(v1_xboole_0 esk13_0False)(v1_xboole_0 esk9_0False)(v3_funct_1 esk12_0False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk8_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk14_1 X1) X1False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, ((k2_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)(∀X1, (v1_xboole_0 (esk19_1 X1)False)False)((v4_funct_1 esk21_0False)False)((v2_ordinal1 esk18_0False)False)((v1_ordinal1 esk18_0False)False)((v2_funct_1 esk5_0False)False)((v2_relat_1 esk9_0False)False)((v2_relat_1 esk7_0False)False)((v2_relat_1 esk6_0False)False)((v7_ordinal1 esk13_0False)False)((v7_ordinal1 esk10_0False)False)((v1_xboole_0 esk17_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_funct_1 esk22_0False)False)((v1_funct_1 esk12_0False)False)((v1_funct_1 esk9_0False)False)((v1_funct_1 esk7_0False)False)((v1_funct_1 esk5_0False)False)((v1_relat_1 esk22_0False)False)((v1_relat_1 esk15_0False)False)((v1_relat_1 esk12_0False)False)((v1_relat_1 esk9_0False)False)((v1_relat_1 esk7_0False)False)((v1_relat_1 esk6_0False)False)((v1_relat_1 esk5_0False)False)((v3_ordinal1 esk23_0False)False)((v3_ordinal1 esk18_0False)False)((v3_ordinal1 esk2_0False)False)((k1_xboole_0 = o_0_0_xboole_0False)False)False
Proof:
The rest of the proof is missing.