Theorem. (t93_transgeo)
∀u1_struct_0 : setset, ∀k2_aff_1 : setsetsetset, ∀k7_relset_1 : setsetsetsetset, ∀k3_funct_2 : setsetsetsetset, ∀v1_diraf : setprop, ∀v3_funct_2 : setsetsetprop, ∀v8_transgeo : setsetprop, ∀l1_analoaf : setprop, ∀v7_struct_0 : setprop, ∀r2_hidden : setsetprop, ∀r2_funct_2 : setsetsetsetprop, ∀esk29_3 : setsetsetset, ∀v2_diraf : setprop, ∀v1_aff_1 : setsetprop, ∀esk1_0 : set, ∀esk4_0 : set, ∀esk2_0 : set, ∀esk27_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀esk21_2 : setsetset, ∀esk15_1 : setset, ∀r1_tarski : setsetprop, ∀k1_xboole_0 : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀v8_relat_2 : setprop, ∀v3_relat_2 : setprop, ∀esk23_0 : set, ∀esk20_0 : set, ∀esk13_2 : setsetset, ∀esk11_2 : setsetset, ∀esk18_1 : setset, ∀esk24_2 : setsetset, ∀esk9_1 : setset, ∀esk17_0 : set, ∀esk14_0 : set, ∀esk8_0 : set, ∀esk7_0 : set, ∀esk10_0 : set, ∀v4_relat_2 : setprop, ∀esk19_1 : setset, ∀esk12_2 : setsetset, ∀esk25_0 : set, ∀esk3_0 : set, ∀v3_funct_1 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀k6_partfun1 : setset, ∀esk16_1 : setset, ∀l1_struct_0 : setprop, ∀esk22_1 : setset, ∀v2_struct_0 : setprop, ∀v4_funct_1 : setprop, ∀v1_relat_1 : setprop, ∀v5_relat_1 : setsetprop, ∀esk26_2 : setsetset, ∀esk6_2 : setsetset, ∀esk5_2 : setsetset, ∀v2_funct_1 : setprop, ∀v2_funct_2 : setsetprop, ∀k1_aff_1 : setsetsetset, ∀r3_aff_1 : setsetsetprop, ∀esk28_3 : setsetsetset, ∀v1_partfun1 : setsetprop, ∀v1_relat_2 : setprop, ∀k7_relat_1 : setsetset, ∀v1_xboole_0 : setprop, ∀r5_aff_1 : setsetsetprop, ∀k1_funct_1 : setsetset, ∀esk30_4 : setsetsetsetset, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k2_zfmisc_1 : setsetset, ∀v1_funct_2 : setsetsetprop, ∀v1_funct_1 : setprop, ∀r2_relset_1 : setsetsetsetprop, (∀X1 X3 X2 X4, (r2_relset_1 X2 X3 X1 X4False)(k1_funct_1 X1 (esk30_4 X2 X3 X1 X4)) = (k1_funct_1 X4 (esk30_4 X2 X3 X1 X4))v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X3 X2 X1, ((k2_aff_1 X1 (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X4 X2) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X4 X3)) = (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X4 (k2_aff_1 X1 X2 X3))False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1v1_funct_1 X4v8_transgeo X4 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)v1_funct_2 X4 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X4 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)(∀X2 X3 X4 X1, (v7_struct_0 X1False)(r5_aff_1 X1 (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 X3) (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 X4)False)v1_diraf X1l1_analoaf X1v1_funct_1 X2v8_transgeo X2 X1r5_aff_1 X1 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))v1_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X2 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)(∀X3 X2 X4 X1, (v7_struct_0 X1False)(r2_hidden (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X3 X2) (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X3 X4)False)v1_diraf X1l1_analoaf X1v1_funct_1 X3r2_hidden X2 X4m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))v1_funct_2 X3 (u1_struct_0 X1) (u1_struct_0 X1)v3_funct_2 X3 (u1_struct_0 X1) (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))False)(∀X3 X2 X1 X4, (r2_relset_1 X1 X2 X3 X4False)(m1_subset_1 (esk30_4 X1 X2 X3 X4) X1False)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2m1_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 X4, (r2_funct_2 X2 X3 X4 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3r2_funct_2 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)(∀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)v1_funct_1 X4v1_funct_1 X3v1_funct_2 X4 X1 X2v1_funct_2 X3 X1 X2r2_funct_2 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)(∀X2 X3 X4 X1, (v1_xboole_0 X1False)(m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X4 X1 X2, (r2_funct_2 X3 X4 X1 X2False)X1 = X2v1_funct_1 X2v1_funct_1 X1v1_funct_2 X2 X3 X4v1_funct_2 X1 X3 X4m1_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_funct_2 X2 X3 X1 X1False)v1_funct_1 X4v1_funct_1 X1v1_funct_2 X4 X2 X3v1_funct_2 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X4 X1 X2 X3, (m1_subset_1 (k7_relset_1 X2 X3 X1 X4) (k1_zfmisc_1 X3)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))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)(∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4)False)(v1_xboole_0 X1False)v1_funct_1 X2m1_subset_1 X4 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀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)(∀X2 X4 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X3 X4r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X4 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X4 X3r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X4r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X4 X2r5_aff_1 X1 X2 X3m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X1 X2 X3, ((k7_relset_1 X2 X3 X1 X4) = (k7_relat_1 X1 X4)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X3False)(m1_subset_1 (esk29_3 X1 X2 X3) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X3False)(r2_hidden (esk29_3 X1 X2 X3) X2False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X3False)(r2_hidden (esk29_3 X1 X2 X3) X3False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_aff_1 X3 X1v1_aff_1 X2 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1v1_aff_1 X5 X1v1_aff_1 X4 X1r2_hidden X3 X5r2_hidden X3 X4r2_hidden X2 X5r2_hidden X2 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, ((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk4_0 X1) = X1False)r2_hidden X1 esk2_0m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (v3_funct_2 X1 X2 X2False)v1_funct_1 X1v1_relat_2 X1v1_partfun1 X1 X2v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X1 X2 X3 X4, (X3 = X4False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1r2_hidden X2 X4r2_hidden X2 X3r5_aff_1 X1 X3 X4m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 (esk28_3 X1 X3 X2)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk28_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1v1_aff_1 X3 X1m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r3_aff_1 X1 X2 X3False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 X3False)v1_diraf X1l1_analoaf X1r3_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X3 X2False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk28_3 X2 X1 X3)False)v1_diraf X2l1_analoaf X2v1_aff_1 X3 X2m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X4 X1 X3, (X1 = X3False)(v7_struct_0 X2False)(v1_aff_1 X4 X2False)X4 = (k2_aff_1 X2 X1 X3)v1_diraf X2l1_analoaf X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)v1_funct_1 X1v1_xboole_0 X1v1_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (k1_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (k2_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, (v7_struct_0 X2False)(v1_aff_1 X1 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X1 X3m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X3 X2, (v7_struct_0 X2False)(v1_aff_1 X1 X2False)v1_diraf X2l1_analoaf X2r3_aff_1 X2 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X1 X2, (v2_funct_2 X1 X2False)v1_funct_1 X1v3_funct_2 X1 X3 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1v1_funct_2 X2 X1 X3m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(v1_partfun1 X2 X3False)v1_funct_2 X2 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1))False)(∀X2 X1, (v1_partfun1 X1 X2False)v1_funct_2 X1 X2 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X2))False)(∀X2 X3 X1, (v2_funct_1 X1False)v1_funct_1 X1v3_funct_2 X1 X2 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v3_funct_2 X1 X2 X3False)v1_funct_1 X1v2_funct_1 X1v2_funct_2 X1 X3m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (k2_aff_1 X2 X1 X3)False)v1_diraf X2l1_analoaf X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (k2_aff_1 X2 X3 X1)False)v1_diraf X2l1_analoaf X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X1 X2, ((k2_aff_1 X2 (esk5_2 X2 X1) (esk6_2 X2 X1)) = X1False)(v7_struct_0 X2False)v1_diraf X2l1_analoaf X2v1_aff_1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X1, ((k1_aff_1 X1 X2 X3) = (k2_aff_1 X1 X2 X3)False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X2 X3 X1, ((k2_aff_1 X1 X2 X3) = (k2_aff_1 X1 X3 X2)False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X3 X1 X2, (v1_funct_2 X1 X2 X3False)v1_partfun1 X1 X2m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X2 X3 X1, (v1_xboole_0 X1False)v1_xboole_0 X2v1_partfun1 X3 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk27_2 X1 X2) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk26_2 X1 X2) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk5_2 X1 X2) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(esk27_2 X1 X2) = (esk26_2 X1 X2)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(esk6_2 X1 X2) = (esk5_2 X1 X2)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X1, (v1_partfun1 X2 X1False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3))False)(∀X2 X1, (v7_struct_0 X1False)(r2_hidden (esk27_2 X1 X2) X2False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(r2_hidden (esk26_2 X1 X2) X2False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X1 X2, (v5_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2))False)(∀X3 X1 X2, (v4_relat_1 X1 X2False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))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)(∀X3 X2 X1, (v1_relat_1 X1False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 (esk21_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X3 X1, (v1_relat_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀X2 X3 X1, (v1_funct_1 (k1_funct_1 X1 X2)False)v1_funct_1 X1v1_relat_1 X1v4_funct_1 X3v5_relat_1 X1 X3False)(∀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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)v1_xboole_0 (esk21_2 X1 X2)False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v5_relat_1 (esk21_2 X1 X2) X2False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v4_relat_1 (esk21_2 X1 X2) X1False)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)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, ((k1_funct_1 (k6_partfun1 X2) X1) = X1False)r2_hidden X1 X2False)(∀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 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_relat_1 (esk21_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(v1_funct_1 (esk21_2 X1 X2)False)False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀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, (v2_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 k1_xboole_0False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v13_struct_0 X1 np__1False)(∀X1, (v2_struct_0 X1False)(v13_struct_0 X1 np__1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v1_finset_1 (u1_struct_0 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk22_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk15_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (esk16_1 X1)False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v1_zfmisc_1 (u1_struct_0 X1)False)(∀X1, (v13_struct_0 X1 k1_xboole_0False)l1_struct_0 X1v2_struct_0 X1False)(∀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_funct_1 X1v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v1_relat_2 X1False)v1_relat_1 X1v3_relat_2 X1v8_relat_2 X1False)(∀X1, (v2_funct_1 X1False)v1_funct_1 X1v1_xboole_0 X1v1_relat_1 X1False)(∀X1, (v1_finset_1 (u1_struct_0 X1)False)l1_struct_0 X1v8_struct_0 X1False)(∀X1, (v1_zfmisc_1 (u1_struct_0 X1)False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v1_xboole_0 (u1_struct_0 X1)False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk15_1 X1)False)l1_struct_0 X1False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (k6_partfun1 X1)False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v8_struct_0 X1False)v7_struct_0 X1l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X1, (v7_struct_0 X1False)l1_struct_0 X1v2_struct_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r2_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk4_0 (k6_partfun1 (u1_struct_0 esk1_0))False)(r2_hidden esk3_0 esk2_0False)(v3_funct_1 esk23_0False)(v1_xboole_0 esk25_0False)(v1_xboole_0 esk20_0False)(v1_xboole_0 np__1False)(v7_struct_0 esk1_0False)(((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk4_0 esk3_0) = esk3_0False)False)(∀X2 X1, (m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk12_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (m1_subset_1 (esk11_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)))False)False)(∀X2 X1, (v1_funct_2 (esk11_2 X1 X2) X1 X2False)False)(∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)False)(∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)False)(∀X1, (m1_subset_1 (k6_partfun1 X1) (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))False)False)(∀X1, (v3_funct_2 (esk18_1 X1) X1 X1False)False)(∀X1, (v1_funct_2 (esk18_1 X1) X1 X1False)False)((v3_funct_2 esk4_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)((v1_funct_2 esk4_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)(∀X2 X1, (v5_relat_1 (esk24_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk13_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk12_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk11_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk24_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk13_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk12_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk11_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk11_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk13_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk24_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk12_2 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk11_2 X1 X2)False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X1, (v5_relat_1 (esk19_1 X1) X1False)False)(∀X1, (v5_relat_1 (esk18_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk19_1 X1) X1False)False)(∀X1, (v4_relat_1 (esk18_1 X1) X1False)False)(∀X1, (v4_relat_1 (k6_partfun1 X1) X1False)False)(∀X1, (v1_partfun1 (esk19_1 X1) X1False)False)(∀X1, (v1_partfun1 (esk18_1 X1) X1False)False)(∀X1, (v1_partfun1 (k6_partfun1 X1) X1False)False)(∀X1, (v1_partfun1 (k6_partfun1 X1) X1False)False)(∀X1, (m1_subset_1 (esk9_1 X1) X1False)False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)((v1_aff_1 esk2_0 esk1_0False)False)((v8_transgeo esk4_0 esk1_0False)False)(∀X1, (v4_relat_2 (esk19_1 X1)False)False)(∀X1, (v4_relat_2 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_2 (esk19_1 X1)False)False)(∀X1, (v8_relat_2 (esk19_1 X1)False)False)(∀X1, (v8_relat_2 (k6_partfun1 X1)False)False)(∀X1, (v3_relat_2 (esk19_1 X1)False)False)(∀X1, (v3_relat_2 (k6_partfun1 X1)False)False)(∀X1, (v2_funct_1 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_1 (esk19_1 X1)False)False)(∀X1, (v1_relat_1 (esk18_1 X1)False)False)(∀X1, (v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v1_relat_1 (k6_partfun1 X1)False)False)(∀X1, (v1_funct_1 (esk18_1 X1)False)False)(∀X1, (v1_funct_1 (k6_partfun1 X1)False)False)(∀X1, (v1_funct_1 (k6_partfun1 X1)False)False)((v4_funct_1 esk25_0False)False)((v2_funct_1 esk17_0False)False)((v1_relat_1 esk23_0False)False)((v1_relat_1 esk17_0False)False)((v1_relat_1 esk10_0False)False)((v1_xboole_0 esk14_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk8_0False)False)((v1_funct_1 esk23_0False)False)((v1_funct_1 esk17_0False)False)((v1_funct_1 esk10_0False)False)((v1_funct_1 esk4_0False)False)((l1_analoaf esk7_0False)False)((l1_analoaf esk1_0False)False)((v2_diraf esk1_0False)False)((v1_diraf esk1_0False)False)False
Proof:
The rest of the proof is missing.