Theorem. (l19_homothet)
∀esk1_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk5_0 : set, ∀esk2_0 : set, ∀epred2_1 : setprop, ∀v2_diraf : setprop, ∀v4_aff_2 : setprop, ∀l1_analoaf : setprop, ∀v1_diraf : setprop, ∀v7_struct_0 : setprop, ∀esk12_1 : setset, ∀esk15_1 : setset, ∀esk13_1 : setset, ∀esk14_1 : setset, ∀k1_funct_1 : setsetset, ∀v2_struct_0 : setprop, ∀esk18_1 : setset, ∀l1_struct_0 : setprop, ∀esk17_1 : setset, ∀v13_struct_0 : setsetprop, ∀np__1 : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk8_1 : setset, ∀esk6_0 : set, ∀esk7_0 : set, ∀k1_xboole_0 : set, ∀r1_tarski : setsetprop, ∀esk16_1 : setset, ∀r2_hidden : setsetprop, ∀esk9_1 : setset, ∀v1_xboole_0 : setprop, ∀esk10_1 : setset, ∀esk11_1 : setset, ∀v6_transgeo : setsetprop, ∀v1_funct_2 : setsetsetprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀esk19_2 : setsetset, ∀esk20_2 : setsetset, ∀v3_funct_2 : setsetsetprop, ∀v1_funct_1 : setprop, ∀epred3_6 : setsetsetsetsetsetprop, ∀m1_subset_1 : setsetprop, ∀r1_aff_1 : setsetsetsetprop, ∀epred1_7 : setsetsetsetsetsetsetprop, ∀u1_struct_0 : setset, ∀k3_funct_2 : setsetsetsetset, ∀esk21_7 : setsetsetsetsetsetsetset, ∀esk22_7 : setsetsetsetsetsetsetset, ∀r2_analoaf : setsetsetsetsetprop, (∀X4 X7 X6 X2 X5 X3 X1, (r2_analoaf X1 X6 X3 X5 X2False)(r2_analoaf X1 (esk21_7 X2 X3 X4 X5 X6 X7 X1) X3 (esk22_7 X2 X3 X4 X5 X6 X7 X1) X2False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X4 X3) = X2epred1_7 X1 X7 X6 X5 X2 X3 X4False)(∀X5 X7 X2 X3 X6 X4 X1, (r2_analoaf X1 X2 X4 X6 X3False)(r2_analoaf X1 X2 (esk21_7 X3 X4 X5 X6 X2 X7 X1) X6 (esk22_7 X3 X4 X5 X6 X2 X7 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3epred1_7 X1 X7 X2 X6 X3 X4 X5False)(∀X6 X7 X5 X1 X3 X4 X2, (r2_analoaf X1 (esk21_7 X2 X3 X4 X5 X6 X7 X1) X3 (esk22_7 X2 X3 X4 X5 X6 X7 X1) X2False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X4 X3) = X2r1_aff_1 X1 X7 X6 X3epred1_7 X1 X7 X6 X5 X2 X3 X4False)(∀X2 X7 X6 X1 X4 X5 X3, (r2_analoaf X1 X2 (esk21_7 X3 X4 X5 X6 X2 X7 X1) X6 (esk22_7 X3 X4 X5 X6 X2 X7 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3r1_aff_1 X1 X7 X2 X4epred1_7 X1 X7 X2 X6 X3 X4 X5False)(∀X5 X2 X7 X3 X6 X4 X1, (r2_analoaf X1 X7 X4 X6 X3False)(r1_aff_1 X1 X2 (esk21_7 X3 X4 X5 X6 X7 X2 X1) (esk22_7 X3 X4 X5 X6 X7 X2 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3epred1_7 X1 X2 X7 X6 X3 X4 X5False)(∀X4 X6 X5 X7 X3 X2 X1, (r1_aff_1 X1 X7 X3 X2False)(r2_analoaf X1 (esk21_7 X2 X3 X4 X5 X6 X7 X1) X3 (esk22_7 X2 X3 X4 X5 X6 X7 X1) X2False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X4 X3) = X2epred1_7 X1 X7 X6 X5 X2 X3 X4False)(∀X5 X2 X6 X7 X4 X3 X1, (r1_aff_1 X1 X7 X4 X3False)(r2_analoaf X1 X2 (esk21_7 X3 X4 X5 X6 X2 X7 X1) X6 (esk22_7 X3 X4 X5 X6 X2 X7 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3epred1_7 X1 X7 X2 X6 X3 X4 X5False)(∀X7 X2 X6 X1 X4 X5 X3, (r1_aff_1 X1 X2 (esk21_7 X3 X4 X5 X6 X7 X2 X1) (esk22_7 X3 X4 X5 X6 X7 X2 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3r1_aff_1 X1 X2 X7 X4epred1_7 X1 X2 X7 X6 X3 X4 X5False)(∀X5 X7 X6 X2 X4 X3 X1, (r1_aff_1 X1 X2 X4 X3False)(r1_aff_1 X1 X2 (esk21_7 X3 X4 X5 X6 X7 X2 X1) (esk22_7 X3 X4 X5 X6 X7 X2 X1)False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X5 X4) = X3epred1_7 X1 X2 X7 X6 X3 X4 X5False)(∀X6 X2 X3 X4 X7 X5 X1, (r2_analoaf X1 X3 X5 X7 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) = X4epred1_7 X1 X2 X3 X7 X4 X5 X6r1_aff_1 X1 X2 X3 (esk21_7 X4 X5 X6 X7 X3 X2 X1)False)(∀X3 X2 X7 X1 X5 X6 X4, (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) = X4r1_aff_1 X1 X2 X3 X5epred1_7 X1 X2 X3 X7 X4 X5 X6r1_aff_1 X1 X2 X3 (esk21_7 X4 X5 X6 X7 X3 X2 X1)False)(∀X6 X3 X7 X2 X5 X4 X1, (r1_aff_1 X1 X2 X5 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) = X4epred1_7 X1 X2 X3 X7 X4 X5 X6r1_aff_1 X1 X2 X3 (esk21_7 X4 X5 X6 X7 X3 X2 X1)False)(∀X3 X6 X5 X1 X4 X2 X7, (r2_analoaf X7 X5 X2 X4 X1False)(m1_subset_1 (esk22_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X3 X6 X5 X1 X4 X2 X7, (r2_analoaf X7 X5 X2 X4 X1False)(m1_subset_1 (esk21_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X5 X6 X4 X7 X2 X3 X1, (m1_subset_1 (esk22_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1r1_aff_1 X7 X6 X5 X2epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X5 X6 X4 X7 X2 X3 X1, (m1_subset_1 (esk21_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1r1_aff_1 X7 X6 X5 X2epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X3 X5 X4 X6 X2 X1 X7, (r1_aff_1 X7 X6 X2 X1False)(m1_subset_1 (esk22_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X3 X5 X4 X6 X2 X1 X7, (r1_aff_1 X7 X6 X2 X1False)(m1_subset_1 (esk21_7 X1 X2 X3 X4 X5 X6 X7) (u1_struct_0 X7)False)(k3_funct_2 (u1_struct_0 X7) (u1_struct_0 X7) X3 X2) = X1epred1_7 X7 X6 X5 X4 X1 X2 X3False)(∀X5 X3 X2 X7 X6 X1 X4 X9 X8, ((k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X9 X4) = X8False)(r1_aff_1 X1 X2 X3 X5False)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)r1_aff_1 X1 X2 X5 X6r1_aff_1 X1 X2 X3 X8r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X5 X4 X6 X8r2_analoaf X1 X3 X5 X7 X6epred1_7 X1 X2 X3 X7 X8 X4 X9False)(∀X3 X2 X6 X1 X4 X7 X5, ((k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X7 X4) = X5False)(r1_aff_1 X1 X2 X3 X4False)r1_aff_1 X1 X2 X4 X5r2_analoaf X1 X3 X4 X6 X5epred1_7 X1 X2 X3 X6 X5 X4 X7False)(∀X5 X6 X7 X2 X3 X4 X1, (r1_aff_1 X1 X2 X3 X4False)(r2_analoaf X1 X3 X4 X5 X6False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X7 X4) = X6epred1_7 X1 X2 X3 X5 X6 X4 X7False)(∀X5 X6 X7 X2 X3 X4 X1, (r1_aff_1 X1 X2 X3 X4False)(r2_analoaf X1 X3 X5 X6 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X7 X5) = X4epred1_7 X1 X2 X3 X6 X4 X5 X7False)(∀X6 X5 X7 X2 X3 X4 X1, (r1_aff_1 X1 X2 X3 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) = X4r1_aff_1 X1 X2 X3 X5epred1_7 X1 X2 X3 X7 X4 X5 X6False)(∀X3 X7 X6 X2 X4 X5 X1, (r1_aff_1 X1 X2 X4 X5False)(r1_aff_1 X1 X2 X3 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X4) = X5epred1_7 X1 X2 X3 X7 X5 X4 X6False)(∀X3 X7 X6 X2 X5 X4 X1, (r1_aff_1 X1 X2 X5 X4False)(r1_aff_1 X1 X2 X3 X4False)(k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X6 X5) = X4epred1_7 X1 X2 X3 X7 X4 X5 X6False)(∀X2 X1, (epred1_7 esk1_0 esk2_0 esk3_0 esk4_0 X2 X1 esk5_0False)m1_subset_1 X2 (u1_struct_0 esk1_0)m1_subset_1 X1 (u1_struct_0 esk1_0)False)(∀X3 X6 X4 X7 X5 X1 X2 X8, (X2 = X8False)(X2 = X3False)(r1_aff_1 X1 X2 X3 X5False)m1_subset_1 X6 (u1_struct_0 X1)m1_subset_1 X5 (u1_struct_0 X1)r1_aff_1 X1 X2 X5 X6r1_aff_1 X1 X2 X3 X8r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X5 X4 X6 X8r2_analoaf X1 X3 X5 X7 X6epred3_6 X8 X7 X3 X4 X2 X1False)(∀X1 X11 X7 X6 X8 X4 X12 X10 X5 X9 X2 X3, (X2 = X3False)(r1_aff_1 X1 X2 X3 X11False)(r1_aff_1 X1 X2 X3 X9False)(r2_analoaf X1 X4 X7 X6 X8False)epred2_1 X1m1_subset_1 X12 (u1_struct_0 X1)m1_subset_1 X11 (u1_struct_0 X1)m1_subset_1 X10 (u1_struct_0 X1)m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_aff_1 X1 X2 X11 X12r1_aff_1 X1 X2 X9 X10r1_aff_1 X1 X2 X3 X8r1_aff_1 X1 X2 X3 X7r1_aff_1 X1 X2 X3 X6r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X11 X7 X12 X8r2_analoaf X1 X9 X4 X10 X6r2_analoaf X1 X3 X11 X5 X12r2_analoaf X1 X3 X9 X5 X10False)(∀X3 X6 X4 X1 X2 X5, (X2 = X5False)(X2 = X3False)(r1_aff_1 X1 X2 X3 X4False)r1_aff_1 X1 X2 X4 X5r2_analoaf X1 X3 X4 X6 X5epred3_6 X5 X6 X3 X4 X2 X1False)(∀X1 X5 X10 X4 X8 X6 X7 X9 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X9False)(r1_aff_1 X1 X2 X3 X5False)(r2_analoaf X1 X5 X7 X6 X8False)v1_diraf X1v2_diraf X1l1_analoaf X1v4_aff_2 X1m1_subset_1 X10 (u1_struct_0 X1)m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_aff_1 X1 X2 X9 X10r1_aff_1 X1 X2 X5 X6r1_aff_1 X1 X2 X3 X8r1_aff_1 X1 X2 X3 X7r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X9 X7 X10 X8r2_analoaf X1 X3 X9 X4 X10r2_analoaf X1 X3 X5 X4 X6False)(∀X1 X7 X10 X4 X5 X8 X6 X9 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X9False)(r1_aff_1 X1 X2 X3 X7False)(r2_analoaf X1 X5 X7 X6 X8False)v1_diraf X1v2_diraf X1l1_analoaf X1v4_aff_2 X1m1_subset_1 X10 (u1_struct_0 X1)m1_subset_1 X9 (u1_struct_0 X1)m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_aff_1 X1 X2 X9 X10r1_aff_1 X1 X2 X7 X8r1_aff_1 X1 X2 X3 X6r1_aff_1 X1 X2 X3 X5r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X9 X5 X10 X6r2_analoaf X1 X3 X9 X4 X10r2_analoaf X1 X3 X7 X4 X8False)(∀X7 X3 X2 X6 X8 X4 X5 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X7False)(r1_aff_1 X1 X2 X3 X5False)(r2_analoaf X1 X5 X7 X6 X8False)v1_diraf X1v2_diraf X1l1_analoaf X1v4_aff_2 X1m1_subset_1 X8 (u1_struct_0 X1)m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_aff_1 X1 X2 X7 X8r1_aff_1 X1 X2 X5 X6r1_aff_1 X1 X2 X3 X4r2_analoaf X1 X3 X7 X4 X8r2_analoaf X1 X3 X5 X4 X6False)(∀X4 X2 X6 X3 X5 X1, (v7_struct_0 X1False)(epred3_6 X5 X6 X3 X4 X2 X1False)X2 = X4v1_diraf X1v2_diraf X1l1_analoaf X1m1_subset_1 X6 (u1_struct_0 X1)m1_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)False)(∀X1 X5 X2 X3 X4 X6 X7, (X6 = X7False)(v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X7 (u1_struct_0 X1)m1_subset_1 X6 (u1_struct_0 X1)m1_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)r1_aff_1 X1 X2 X4 X7r1_aff_1 X1 X2 X4 X6r1_aff_1 X1 X2 X3 X5r2_analoaf X1 X3 X4 X5 X7r2_analoaf X1 X3 X4 X5 X6False)(∀X2 X1, (v7_struct_0 X1False)(v6_transgeo X2 X1False)v1_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)))r2_analoaf X1 (esk19_2 X1 X2) (esk20_2 X1 X2) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 (esk19_2 X1 X2)) (k3_funct_2 (u1_struct_0 X1) (u1_struct_0 X1) X2 (esk20_2 X1 X2))False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X2 X3 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X3 X2 X4 X5False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X3 X2 X5 X4False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X4 X5 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X4 X5 X3 X2False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X5 X4 X2 X3False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)v1_diraf X1l1_analoaf X1m1_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)r2_analoaf X1 X5 X4 X3 X2False)(∀X1 X4 X3 X2, (v7_struct_0 X2False)(r2_analoaf X2 X3 X4 (k3_funct_2 (u1_struct_0 X2) (u1_struct_0 X2) X1 X3) (k3_funct_2 (u1_struct_0 X2) (u1_struct_0 X2) X1 X4)False)v1_diraf X2l1_analoaf X2v1_funct_1 X1v6_transgeo X1 X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)v1_funct_2 X1 (u1_struct_0 X2) (u1_struct_0 X2)v3_funct_2 X1 (u1_struct_0 X2) (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X2) (u1_struct_0 X2)))False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1r2_analoaf X1 (esk12_1 X1) (esk14_1 X1) (esk13_1 X1) (esk15_1 X1)False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(r2_analoaf X1 (esk10_1 X1) (esk14_1 X1) (esk11_1 X1) (esk15_1 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(r2_analoaf X1 (esk10_1 X1) (esk12_1 X1) (esk11_1 X1) (esk13_1 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)((k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 esk2_0) = esk2_0(k3_funct_2 (u1_struct_0 esk1_0) (u1_struct_0 esk1_0) esk5_0 esk3_0) = esk4_0v6_transgeo esk5_0 esk1_0False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X2 X4 X3False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X3 X2 X4False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X3 X4 X2False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X4 X2 X3False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (u1_struct_0 X1)m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r1_aff_1 X1 X4 X3 X2False)(∀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 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, (v7_struct_0 X1False)(v6_transgeo X2 X1False)(m1_subset_1 (esk20_2 X1 X2) (u1_struct_0 X1)False)v1_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, (v7_struct_0 X1False)(v6_transgeo X2 X1False)(m1_subset_1 (esk19_2 X1 X2) (u1_struct_0 X1)False)v1_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)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1r1_aff_1 X1 (esk9_1 X1) (esk10_1 X1) (esk14_1 X1)False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)v1_diraf X1v2_diraf X1l1_analoaf X1r1_aff_1 X1 (esk9_1 X1) (esk10_1 X1) (esk12_1 X1)False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X2 X3False)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)(r1_aff_1 X1 X2 X3 X2False)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)(r1_aff_1 X1 X2 X3 X3False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(r1_aff_1 X1 (esk9_1 X1) (esk14_1 X1) (esk15_1 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(r1_aff_1 X1 (esk9_1 X1) (esk12_1 X1) (esk13_1 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(r1_aff_1 X1 (esk9_1 X1) (esk10_1 X1) (esk11_1 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀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, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk15_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk14_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk13_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk12_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk11_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk10_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v4_aff_2 X1False)(m1_subset_1 (esk9_1 X1) (u1_struct_0 X1)False)v1_diraf X1v2_diraf X1l1_analoaf X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀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, (v7_struct_0 X1False)(epred2_1 X1False)v1_diraf X1v2_diraf X1l1_analoaf 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 (esk18_1 X1)False)(∀X1, (v2_struct_0 X1False)l1_struct_0 X1v1_xboole_0 (esk16_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 (esk17_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 (esk16_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, (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)(v1_xboole_0 np__1False)(v7_struct_0 esk1_0False)(esk3_0 = esk2_0False)((r1_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)(∀X1, (m1_subset_1 (esk8_1 X1) X1False)False)((m1_subset_1 esk4_0 (u1_struct_0 esk1_0)False)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 esk7_0False)False)((v4_aff_2 esk1_0False)False)((v1_funct_1 esk5_0False)False)((l1_analoaf esk6_0False)False)((l1_analoaf esk1_0False)False)((v2_diraf esk1_0False)False)((v1_diraf esk1_0False)False)False
Proof:
Proof not loaded.