Theorem. (l35_homothet)
∀esk20_4 : setsetsetsetset, ∀v1_diraf : setprop, ∀v1_funct_1 : setprop, ∀k1_zfmisc_1 : setset, ∀v3_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀k7_relset_1 : setsetsetsetset, ∀v1_funct_2 : setsetsetprop, ∀l1_analoaf : setprop, ∀v7_struct_0 : setprop, ∀esk21_2 : setsetset, ∀v1_aff_1 : setsetprop, ∀v2_diraf : setprop, ∀v8_transgeo : setsetprop, ∀esk16_3 : setsetsetset, ∀k7_relat_1 : setsetset, ∀r1_tarski : setsetprop, ∀esk17_3 : setsetsetset, ∀k2_aff_1 : setsetsetset, ∀esk13_1 : setset, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀esk10_0 : set, ∀esk11_0 : set, ∀esk12_1 : setset, ∀v1_zfmisc_1 : setprop, ∀v1_finset_1 : setprop, ∀v8_struct_0 : setprop, ∀k1_xboole_0 : set, ∀esk14_1 : setset, ∀l1_struct_0 : setprop, ∀esk15_1 : setset, ∀v2_struct_0 : setprop, ∀esk9_2 : setsetset, ∀esk8_2 : setsetset, ∀k1_aff_1 : setsetsetset, ∀esk18_3 : setsetsetset, ∀esk19_3 : setsetsetset, ∀k1_funct_1 : setsetset, ∀v1_xboole_0 : setprop, ∀r5_aff_1 : setsetsetprop, ∀r3_aff_1 : setsetsetprop, ∀esk7_2 : setsetset, ∀esk6_2 : setsetset, ∀esk4_0 : set, ∀r2_hidden : setsetprop, ∀esk3_0 : set, ∀r2_analoaf : setsetsetsetsetprop, ∀esk2_0 : set, ∀r2_aff_1 : setsetsetsetprop, ∀m1_subset_1 : setsetprop, ∀k3_funct_2 : setsetsetsetset, ∀esk5_0 : set, ∀u1_struct_0 : setset, ∀esk1_0 : set, (∀X2 X3 X1 X4, ((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X4False)(r2_hidden X1 esk4_0False)r2_hidden X3 esk4_0r2_hidden X2 esk4_0m1_subset_1 X4 (u1_struct_0 esk1_0)m1_subset_1 X3 (u1_struct_0 esk1_0)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)r2_aff_1 esk1_0 X1 X4 esk4_0r2_analoaf esk1_0 X2 esk2_0 X3 X1r2_analoaf esk1_0 X2 esk3_0 X3 X4False)(∀X2 X4 X3 X1, ((k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 (esk20_4 X1 X3 X2 X4)) = X3False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1v1_funct_1 X2m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X4 (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)))r2_hidden X3 (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 X4)False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk20_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1v1_funct_1 X3m1_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)))r2_hidden X2 (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X3 X4)False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r2_hidden (esk20_4 X1 X2 X3 X4) X4False)v1_diraf X1l1_analoaf X1v1_funct_1 X3m1_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)))r2_hidden X2 (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X3 X4)False)(∀X2 X1, (r2_hidden X1 esk4_0False)(r2_analoaf esk1_0 (esk6_2 X1 X2) esk3_0 (esk7_2 X1 X2) X2False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (r2_hidden X1 esk4_0False)(r2_analoaf esk1_0 (esk6_2 X1 X2) esk2_0 (esk7_2 X1 X2) X1False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(r2_analoaf esk1_0 (esk6_2 X1 X2) esk3_0 (esk7_2 X1 X2) X2False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(r2_analoaf esk1_0 (esk6_2 X1 X2) esk2_0 (esk7_2 X1 X2) X1False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X4 X5 X2 X6 X7 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1r2_hidden X5 X7r2_hidden X4 X7r2_hidden X3 X6r2_hidden X2 X6r3_aff_1 X1 X6 X7m1_subset_1 X5 (u1_struct_0 X1)m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X7 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X6 (k1_zfmisc_1 (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)(∀X5 X3 X4 X1 X2, (v7_struct_0 X2False)(r2_hidden X5 (k7_relset_1 (u1_struct_0 X2) (u1_struct_0 X2) X4 X3)False)(k3_funct_2 (u1_struct_0 X2) (u1_struct_0 X2) X4 X1) = X5v1_diraf X2l1_analoaf X2v1_funct_1 X4r2_hidden X1 X3m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))v1_funct_2 X4 (u1_struct_0 X2) (u1_struct_0 X2)v3_funct_2 X4 (u1_struct_0 X2) (u1_struct_0 X2)m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X2) (u1_struct_0 X2)))False)(∀X2 X1, (v7_struct_0 X1False)(v8_transgeo X2 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_funct_1 X2v1_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)))v1_aff_1 (k7_relset_1 (u1_struct_0 X1) (u1_struct_0 X1) X2 (esk21_2 X1 X2)) X1False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X5False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X4 X5m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X4m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X4 X2 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X3 X2 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))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)(∀X2 X1, (r2_hidden X1 esk4_0False)(r2_aff_1 esk1_0 X1 X2 esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(r2_aff_1 esk1_0 X1 X2 esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X3 X1, ((k3_funct_2 X1 X1 X2 (esk16_3 X1 X3 X2)) = X3False)(v1_xboole_0 X1False)v1_funct_1 X2m1_subset_1 X3 X1v1_funct_2 X2 X1 X1v3_funct_2 X2 X1 X1m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))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)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_hidden X3 X4False)v1_diraf X1l1_analoaf X1r2_hidden X2 X4v1_aff_1 X4 X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X5False)v1_diraf X1l1_analoaf X1r2_hidden X3 X4r2_hidden X2 X4r3_aff_1 X1 X4 X5m1_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)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_hidden X2 X4False)v1_diraf X1l1_analoaf X1r2_hidden X3 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X4m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X3 X4 X1, (v7_struct_0 X1False)(v1_aff_1 X2 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)r2_aff_1 X1 X3 X4 X2m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (r2_hidden X1 esk4_0False)(m1_subset_1 (esk7_2 X1 X2) (u1_struct_0 esk1_0)False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (r2_hidden X1 esk4_0False)(m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 esk1_0)False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (v7_struct_0 X1False)(v8_transgeo X2 X1False)(m1_subset_1 (esk21_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_funct_1 X2v1_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)(∀X2 X1, (r2_hidden X1 esk4_0False)(r2_hidden (esk7_2 X1 X2) esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (r2_hidden X1 esk4_0False)(r2_hidden (esk6_2 X1 X2) esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(m1_subset_1 (esk7_2 X1 X2) (u1_struct_0 esk1_0)False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 esk1_0)False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)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)(∀X2 X1, (X1 = X2False)(r2_hidden (esk7_2 X1 X2) esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (X1 = X2False)(r2_hidden (esk6_2 X1 X2) esk4_0False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X1, (v7_struct_0 X1False)(v8_transgeo X2 X1False)(v1_aff_1 (esk21_2 X1 X2) X1False)v1_diraf X1v2_diraf X1l1_analoaf X1v1_funct_1 X2v1_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)(∀X2 X1, (X1 = X2False)(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2r2_hidden X1 esk4_0m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X2 X4 X1 X3, (v7_struct_0 X3False)(r2_aff_1 X3 X4 X1 X2False)v1_diraf X3l1_analoaf X3r2_hidden X4 X2r2_hidden X1 X2v1_aff_1 X2 X3m1_subset_1 X4 (u1_struct_0 X3)m1_subset_1 X1 (u1_struct_0 X3)m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3))False)(∀X3 X2 X1, (v1_xboole_0 X1False)(m1_subset_1 (esk16_3 X1 X2 X3) X1False)v1_funct_1 X3m1_subset_1 X2 X1v1_funct_2 X3 X1 X1v3_funct_2 X3 X1 X1m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 X1 X1))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 (esk19_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 (esk19_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 (esk19_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)(∀X2 X1, ((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 X1) = X2False)X1 = X2r2_hidden X1 esk4_0m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X2 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1r2_hidden X3 X5r2_hidden X3 X4r2_hidden X2 X5r2_hidden X2 X4v1_aff_1 X5 X1v1_aff_1 X4 X1m1_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 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 (esk18_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)(∀X1 X2 X3, (r1_tarski X2 X3False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)r2_hidden (esk17_3 X1 X2 X3) X3False)(∀X3 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk18_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 (esk18_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 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)(∀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 (esk8_2 X2 X1) (esk9_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)(∀X1 X2 X3, (r1_tarski X2 X3False)(r2_hidden (esk17_3 X1 X2 X3) X2False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2 X3, (r1_tarski X2 X3False)(m1_subset_1 (esk17_3 X1 X2 X3) X1False)m1_subset_1 X3 (k1_zfmisc_1 X1)m1_subset_1 X2 (k1_zfmisc_1 X1)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)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk9_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 (esk8_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)(esk9_2 X1 X2) = (esk8_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 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, (v2_struct_0 X1False)(m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀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, (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)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀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 (esk15_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk13_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 (esk14_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, (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 (esk13_1 X1)False)l1_struct_0 X1False)(∀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, (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, (l1_struct_0 X1False)l1_analoaf X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(v8_transgeo esk5_0 esk1_0False)(r2_hidden esk2_0 esk4_0False)(v1_xboole_0 np__1False)(v7_struct_0 esk1_0False)((r2_aff_1 esk1_0 esk2_0 esk3_0 esk4_0False)False)((m1_subset_1 esk5_0 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)))False)False)((v3_funct_2 esk5_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)((v1_funct_2 esk5_0 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X1, (m1_subset_1 (esk12_1 X1) X1False)False)((m1_subset_1 esk3_0 (u1_struct_0 esk1_0)False)False)((m1_subset_1 esk2_0 (u1_struct_0 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)((l1_struct_0 esk11_0False)False)((v1_funct_1 esk5_0False)False)((l1_analoaf esk10_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.