Theorem. (t22_projred1)
∀u2_incsp_1 : setset, ∀esk1_0 : set, ∀esk3_0 : set, ∀esk6_0 : set, ∀esk5_0 : set, ∀k1_projred1 : setsetsetsetset, ∀k10_xtuple_0 : setset, ∀esk2_0 : set, ∀esk4_0 : set, ∀k3_relat_1 : setsetset, ∀k9_xtuple_0 : setset, ∀esk8_2 : setsetset, ∀v5_relat_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀esk10_2 : setsetset, ∀v4_funct_1 : setprop, ∀v2_funct_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk22_0 : set, ∀esk20_2 : setsetset, ∀esk18_1 : setset, ∀esk21_0 : set, ∀esk17_0 : set, ∀esk19_0 : set, ∀esk23_2 : setsetset, ∀esk24_0 : set, ∀k1_xboole_0 : set, ∀v3_funct_1 : setprop, ∀esk9_2 : setsetset, ∀v4_relat_1 : setsetprop, ∀esk25_2 : setsetset, ∀esk7_3 : setsetsetset, ∀esk13_1 : setset, ∀esk12_1 : setset, ∀esk11_3 : setsetsetset, ∀esk15_1 : setset, ∀esk16_1 : setset, ∀esk14_3 : setsetsetset, ∀v1_relat_1 : setprop, ∀v6_incsp_1 : setprop, ∀v2_incproj : setprop, ∀v4_incproj : setprop, ∀v9_incproj : setprop, ∀v1_funct_1 : setprop, ∀k2_zfmisc_1 : setsetset, ∀k1_zfmisc_1 : setset, ∀l1_incsp_1 : setprop, ∀v5_incproj : setprop, ∀v3_incproj : setprop, ∀v1_incproj : setprop, ∀esk30_5 : setsetsetsetsetset, ∀esk29_5 : setsetsetsetsetset, ∀esk28_5 : setsetsetsetsetset, ∀esk27_5 : setsetsetsetsetset, ∀r2_hidden : setsetprop, ∀k1_relset_1 : setsetset, ∀r1_tarski : setsetprop, ∀k1_funct_1 : setsetset, ∀epred1_5 : setsetsetsetsetprop, ∀m1_subset_1 : setsetprop, ∀u1_incsp_1 : setset, ∀r1_incsp_1 : setsetsetprop, ∀esk26_7 : setsetsetsetsetsetsetset, (∀X1 X4 X2 X5 X6 X3 X7, (r1_incsp_1 X1 X2 (esk26_7 X3 X2 X4 X5 X1 X6 X7)False)(k1_funct_1 X3 X6) = X7r1_incsp_1 X1 X7 X4r1_incsp_1 X1 X6 X5m1_subset_1 X7 (u1_incsp_1 X1)m1_subset_1 X6 (u1_incsp_1 X1)epred1_5 X1 X4 X2 X3 X5False)(∀X1 X5 X4 X6 X2 X3 X7, (r1_incsp_1 X1 X2 (esk26_7 X3 X4 X5 X6 X1 X2 X7)False)(k1_funct_1 X3 X2) = X7r1_incsp_1 X1 X7 X5r1_incsp_1 X1 X2 X6m1_subset_1 X7 (u1_incsp_1 X1)m1_subset_1 X2 (u1_incsp_1 X1)epred1_5 X1 X5 X4 X3 X6False)(∀X1 X6 X4 X5 X7 X3 X2, (r1_incsp_1 X1 X2 (esk26_7 X3 X4 X5 X6 X1 X7 X2)False)(k1_funct_1 X3 X7) = X2r1_incsp_1 X1 X7 X6r1_incsp_1 X1 X2 X5m1_subset_1 X7 (u1_incsp_1 X1)m1_subset_1 X2 (u1_incsp_1 X1)epred1_5 X1 X5 X4 X3 X6False)(∀X5 X3 X2 X4 X6 X1 X7, (m1_subset_1 (esk26_7 X1 X2 X3 X4 X5 X6 X7) (u2_incsp_1 X5)False)(k1_funct_1 X1 X6) = X7r1_incsp_1 X5 X7 X3r1_incsp_1 X5 X6 X4m1_subset_1 X7 (u1_incsp_1 X5)m1_subset_1 X6 (u1_incsp_1 X5)epred1_5 X5 X3 X2 X1 X4False)(∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4False)(k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)r1_incsp_1 X5 X2 X6m1_subset_1 X6 (u2_incsp_1 X5)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4r1_incsp_1 X5 (esk28_5 X1 X2 X3 X4 X5) X6r1_incsp_1 X5 (esk29_5 X1 X2 X3 X4 X5) X6r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)(∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4False)(r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4False)(r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)(k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)r1_incsp_1 X5 X2 X6m1_subset_1 X6 (u2_incsp_1 X5)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk28_5 X1 X2 X3 X4 X5) X6r1_incsp_1 X5 (esk29_5 X1 X2 X3 X4 X5) X6False)(∀X4 X5 X3 X2 X1, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(∀X4 X5 X3 X2 X1, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(∀X6 X3 X4 X1 X2 X5, (epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)r1_incsp_1 X5 X2 X6m1_subset_1 X6 (u2_incsp_1 X5)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk28_5 X1 X2 X3 X4 X5) X6r1_incsp_1 X5 (esk29_5 X1 X2 X3 X4 X5) X6False)(∀X4 X5 X2 X3 X1, ((k1_funct_1 X3 (esk28_5 X3 X2 X4 X5 X1)) = (esk29_5 X3 X2 X4 X5 X1)False)(epred1_5 X1 X4 X2 X3 X5False)(r1_incsp_1 X1 X2 (esk30_5 X3 X2 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1)r1_incsp_1 X1 (esk27_5 X3 X2 X4 X5 X1) X5r2_hidden (esk27_5 X3 X2 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X3)False)(∀X3 X4 X2 X1 X5, ((k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)False)(epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk30_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)(∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5False)(r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5False)(r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X2 X5 X4 X1 X3, ((k1_funct_1 X3 (esk28_5 X3 X2 X4 X5 X1)) = (esk29_5 X3 X2 X4 X5 X1)False)(epred1_5 X1 X4 X2 X3 X5False)(r1_incsp_1 X1 X2 (esk30_5 X3 X2 X4 X5 X1)False)(r1_incsp_1 X1 (esk27_5 X3 X2 X4 X5 X1) X5False)(r2_hidden (esk27_5 X3 X2 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X3)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1)False)(∀X2 X4 X3 X5 X1, ((k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)False)(epred1_5 X5 X3 X2 X1 X4False)(r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4False)(m1_subset_1 (esk30_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5)False)(r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)(∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(m1_subset_1 (esk27_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1)False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X4 X5 X3 X1 X2, ((k1_funct_1 X2 (esk28_5 X2 X3 X4 X5 X1)) = (esk29_5 X2 X3 X4 X5 X1)False)(epred1_5 X1 X4 X3 X2 X5False)(m1_subset_1 (esk27_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1)False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) (esk30_5 X2 X3 X4 X5 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X4 X5 X3 X2 X1, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) X4False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(∀X4 X5 X3 X2 X1, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) X5False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)(∀X3 X4 X2 X1 X5, (epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk29_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)(∀X3 X4 X2 X1 X5, (epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk28_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)(∀X2 X5 X4 X1 X3, ((k1_funct_1 X3 (esk28_5 X3 X2 X4 X5 X1)) = (esk29_5 X3 X2 X4 X5 X1)False)(epred1_5 X1 X4 X2 X3 X5False)(r1_incsp_1 X1 X2 (esk30_5 X3 X2 X4 X5 X1)False)(m1_subset_1 (esk27_5 X3 X2 X4 X5 X1) (u1_incsp_1 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X3) (u1_incsp_1 X1)False)(∀X2 X4 X3 X5 X1, ((k1_funct_1 X1 (esk28_5 X1 X2 X3 X4 X5)) = (esk29_5 X1 X2 X3 X4 X5)False)(epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(m1_subset_1 (esk30_5 X1 X2 X3 X4 X5) (u2_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)(∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) X4False)(r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk27_5 X2 X3 X4 X5 X1) X5False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) X5False)(r2_hidden (esk27_5 X2 X3 X4 X5 X1) (k1_relset_1 (u1_incsp_1 X1) X2)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4False)(r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4False)(m1_subset_1 (esk29_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)(∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4False)(r1_incsp_1 X5 (esk27_5 X1 X2 X3 X4 X5) X4False)(m1_subset_1 (esk28_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(r2_hidden (esk27_5 X1 X2 X3 X4 X5) (k1_relset_1 (u1_incsp_1 X5) X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)((k10_xtuple_0 (k3_relat_1 (k1_projred1 esk1_0 esk4_0 esk5_0 esk2_0) (k1_projred1 esk1_0 esk5_0 esk6_0 esk3_0))) = (k10_xtuple_0 (k1_projred1 esk1_0 esk5_0 esk6_0 esk3_0))(k9_xtuple_0 (k3_relat_1 (k1_projred1 esk1_0 esk4_0 esk5_0 esk2_0) (k1_projred1 esk1_0 esk5_0 esk6_0 esk3_0))) = (k1_relset_1 (u1_incsp_1 esk1_0) (k1_projred1 esk1_0 esk4_0 esk5_0 esk2_0))False)(∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk29_5 X2 X3 X4 X5 X1) X4False)(m1_subset_1 (esk27_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X3 X5 X4 X1 X2, (epred1_5 X1 X4 X3 X2 X5False)(r1_incsp_1 X1 (esk28_5 X2 X3 X4 X5 X1) X5False)(m1_subset_1 (esk27_5 X2 X3 X4 X5 X1) (u1_incsp_1 X1)False)r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)(∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(m1_subset_1 (esk29_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)(∀X2 X4 X3 X5 X1, (epred1_5 X5 X3 X2 X1 X4False)(m1_subset_1 (esk27_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)(m1_subset_1 (esk28_5 X1 X2 X3 X4 X5) (u1_incsp_1 X5)False)r1_tarski (k1_relset_1 (u1_incsp_1 X5) X1) (u1_incsp_1 X5)False)(∀X2 X4 X5 X3 X1, (X4 = (k1_projred1 X1 X5 X2 X3)False)(r1_incsp_1 X1 X3 X5False)(r1_incsp_1 X1 X3 X2False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1v9_incproj X1l1_incsp_1 X1v1_funct_1 X4m1_subset_1 X5 (u2_incsp_1 X1)m1_subset_1 X3 (u1_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)epred1_5 X1 X2 X3 X4 X5m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X1) (u1_incsp_1 X1)))False)(∀X2 X8 X7 X3 X1 X4 X6 X5, ((k1_funct_1 X6 X4) = X5False)r1_incsp_1 X2 X5 X8r1_incsp_1 X2 X5 X1r1_incsp_1 X2 X4 X7r1_incsp_1 X2 X4 X1r1_incsp_1 X2 X3 X1m1_subset_1 X5 (u1_incsp_1 X2)m1_subset_1 X4 (u1_incsp_1 X2)m1_subset_1 X1 (u2_incsp_1 X2)epred1_5 X2 X8 X3 X6 X7False)(∀X3 X5 X6 X1 X4 X2, (r2_hidden X2 (k1_relset_1 (u1_incsp_1 X1) X4)False)r1_incsp_1 X1 X2 X3m1_subset_1 X2 (u1_incsp_1 X1)epred1_5 X1 X5 X6 X4 X3False)(∀X6 X5 X3 X4 X1 X2, (r1_incsp_1 X2 X1 X4False)m1_subset_1 X1 (u1_incsp_1 X2)epred1_5 X2 X5 X6 X3 X4r2_hidden X1 (k1_relset_1 (u1_incsp_1 X2) X3)False)(∀X3 X1 X4 X5 X2, (r1_incsp_1 X2 X5 X4False)(r1_incsp_1 X2 X5 X3False)(epred1_5 X2 X4 X5 X1 X3False)X1 = (k1_projred1 X2 X3 X4 X5)v6_incsp_1 X2v1_incproj X2v2_incproj X2v3_incproj X2v4_incproj X2v5_incproj X2v9_incproj X2l1_incsp_1 X2v1_funct_1 X1m1_subset_1 X5 (u1_incsp_1 X2)m1_subset_1 X4 (u2_incsp_1 X2)m1_subset_1 X3 (u2_incsp_1 X2)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X2) (u1_incsp_1 X2)))False)(∀X3 X5 X4 X2 X1, (r1_tarski (k1_relset_1 (u1_incsp_1 X1) X2) (u1_incsp_1 X1)False)epred1_5 X1 X3 X4 X2 X5False)(∀X2 X3 X4 X1, (m1_subset_1 (k1_projred1 X1 X2 X3 X4) (k1_zfmisc_1 (k2_zfmisc_1 (u1_incsp_1 X1) (u1_incsp_1 X1)))False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1v9_incproj X1l1_incsp_1 X1m1_subset_1 X4 (u1_incsp_1 X1)m1_subset_1 X3 (u2_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)False)(∀X2 X3 X4 X1, (v1_funct_1 (k1_projred1 X1 X2 X3 X4)False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1v9_incproj X1l1_incsp_1 X1m1_subset_1 X4 (u1_incsp_1 X1)m1_subset_1 X3 (u2_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)False)(∀X4 X2 X3 X1, (v1_relat_1 (k9_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X2 X3) X4))False)(∀X2 X4 X3 X1, (v1_relat_1 (k10_xtuple_0 X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 (k2_zfmisc_1 X3 X4)))False)(∀X2 X3 X1, (r1_incsp_1 X1 (esk14_3 X1 X2 X3) X2False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1l1_incsp_1 X1m1_subset_1 X3 (u2_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)False)(∀X2 X3 X1, (r1_incsp_1 X1 (esk14_3 X1 X2 X3) X3False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1l1_incsp_1 X1m1_subset_1 X3 (u2_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)False)(∀X1 X2, (v5_incproj X2False)v6_incsp_1 X2v1_incproj X2v2_incproj X2v3_incproj X2v4_incproj X2l1_incsp_1 X2m1_subset_1 X1 (u1_incsp_1 X2)r1_incsp_1 X2 X1 (esk15_1 X2)r1_incsp_1 X2 X1 (esk16_1 X2)False)(∀X2 X3 X1, (m1_subset_1 (esk14_3 X1 X2 X3) (u1_incsp_1 X1)False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1v5_incproj X1l1_incsp_1 X1m1_subset_1 X3 (u2_incsp_1 X1)m1_subset_1 X2 (u2_incsp_1 X1)False)(∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk11_3 X1 X2 X3)False)v6_incsp_1 X1l1_incsp_1 X1m1_subset_1 X3 (u1_incsp_1 X1)m1_subset_1 X2 (u1_incsp_1 X1)False)(∀X3 X2 X1, (r1_incsp_1 X1 X2 (esk11_3 X1 X3 X2)False)v6_incsp_1 X1l1_incsp_1 X1m1_subset_1 X3 (u1_incsp_1 X1)m1_subset_1 X2 (u1_incsp_1 X1)False)(∀X1 X2, (v6_incsp_1 X2False)l1_incsp_1 X2m1_subset_1 X1 (u2_incsp_1 X2)r1_incsp_1 X2 (esk12_1 X2) X1r1_incsp_1 X2 (esk13_1 X2) X1False)(∀X2 X1 X3, (r2_hidden X1 (k9_xtuple_0 (k3_relat_1 X2 X3))False)v1_funct_1 X3v1_funct_1 X2v1_relat_1 X3v1_relat_1 X2r2_hidden X1 (k9_xtuple_0 X2)r2_hidden (k1_funct_1 X2 X1) (k9_xtuple_0 X3)False)(∀X3 X2 X1, (m1_subset_1 (esk11_3 X1 X2 X3) (u2_incsp_1 X1)False)v6_incsp_1 X1l1_incsp_1 X1m1_subset_1 X3 (u1_incsp_1 X1)m1_subset_1 X2 (u1_incsp_1 X1)False)(∀X1 X2 X3, (r2_hidden (k1_funct_1 X1 X2) (k9_xtuple_0 X3)False)v1_funct_1 X3v1_funct_1 X1v1_relat_1 X3v1_relat_1 X1r2_hidden X2 (k9_xtuple_0 (k3_relat_1 X1 X3))False)(∀X3 X2 X1, (r2_hidden (esk7_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 (esk7_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_funct_1 X2v1_relat_1 X2r2_hidden X1 X3False)(∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 X2)False)v1_funct_1 X3v1_funct_1 X2v1_relat_1 X3v1_relat_1 X2r2_hidden X1 (k9_xtuple_0 (k3_relat_1 X2 X3))False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk8_2 X1 X2) = (k1_funct_1 X1 X3)v1_funct_1 X1v1_relat_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk8_2 X1 X2) X2False)(∀X1 X2, (X1 = X2False)r2_hidden (esk25_2 X1 X2) X2r2_hidden (esk25_2 X1 X2) X1False)(∀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)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk9_2 X1 X2)) = (esk8_2 X1 X2)False)(r2_hidden (esk8_2 X1 X2) X2False)v1_funct_1 X1v1_relat_1 X1False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk8_2 X1 X2) X2False)(r2_hidden (esk9_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)(∀X1 X2, ((k10_xtuple_0 (k3_relat_1 X2 X1)) = (k10_xtuple_0 X1)False)v1_relat_1 X2v1_relat_1 X1r1_tarski (k9_xtuple_0 X1) (k10_xtuple_0 X2)False)(∀X1 X2, (X1 = X2False)(r2_hidden (esk25_2 X1 X2) X2False)(r2_hidden (esk25_2 X1 X2) X1False)False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk10_2 X1 X2) X2False)(∀X2 X1, (m1_subset_1 (k1_relset_1 X2 X1) (k1_zfmisc_1 X2)False)v1_relat_1 X1v4_relat_1 X1 X2False)(∀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)(∀X1, (v5_incproj X1False)(m1_subset_1 (esk16_1 X1) (u2_incsp_1 X1)False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1l1_incsp_1 X1False)(∀X1, (v5_incproj X1False)(m1_subset_1 (esk15_1 X1) (u2_incsp_1 X1)False)v6_incsp_1 X1v1_incproj X1v2_incproj X1v3_incproj X1v4_incproj X1l1_incsp_1 X1False)(∀X1 X2, (v2_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 X1False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1v2_funct_1 X2v2_funct_1 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 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (v1_funct_1 (k3_relat_1 X1 X2)False)v1_funct_1 X2v1_funct_1 X1v1_relat_1 X2v1_relat_1 X1False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk10_2 X1 X2) X1False)False)(∀X1 X2, (v1_funct_1 X2False)v1_funct_1 X1v1_relat_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, ((k1_relset_1 X2 X1) = (k9_xtuple_0 X1)False)v1_relat_1 X1v4_relat_1 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)(∀X1 X2, (v4_funct_1 X2False)v4_funct_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 X2, (v1_xboole_0 X2False)(r2_hidden X1 X2False)m1_subset_1 X1 X2False)(∀X1, (v6_incsp_1 X1False)(m1_subset_1 (esk13_1 X1) (u1_incsp_1 X1)False)l1_incsp_1 X1False)(∀X1, (v6_incsp_1 X1False)(m1_subset_1 (esk12_1 X1) (u1_incsp_1 X1)False)l1_incsp_1 X1False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀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, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_funct_1 X1v1_relat_1 X1v3_funct_1 X1False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀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, l1_incsp_1 X1v1_xboole_0 (u2_incsp_1 X1)False)(∀X1, l1_incsp_1 X1v1_xboole_0 (u1_incsp_1 X1)False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v1_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_incsp_1 esk1_0 esk3_0 esk6_0False)(r1_incsp_1 esk1_0 esk3_0 esk5_0False)(r1_incsp_1 esk1_0 esk2_0 esk5_0False)(r1_incsp_1 esk1_0 esk2_0 esk4_0False)(v3_funct_1 esk22_0False)(v1_xboole_0 esk24_0False)(∀X2 X1, (m1_subset_1 (esk20_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2))False)False)(∀X2 X1, (v5_relat_1 (esk23_2 X1 X2) X2False)False)(∀X2 X1, (v5_relat_1 (esk20_2 X1 X2) X2False)False)(∀X1 X2, (v4_relat_1 (esk23_2 X1 X2) X1False)False)(∀X1 X2, (v4_relat_1 (esk20_2 X1 X2) X1False)False)(∀X1 X2, (v1_relat_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (esk20_2 X1 X2)False)False)(∀X1 X2, (v1_relat_1 (k3_relat_1 X1 X2)False)False)(∀X1 X2, (v1_funct_1 (esk23_2 X1 X2)False)False)(∀X1 X2, (v1_xboole_0 (esk20_2 X1 X2)False)False)(∀X1, (m1_subset_1 (esk18_1 X1) X1False)False)((m1_subset_1 esk6_0 (u2_incsp_1 esk1_0)False)False)((m1_subset_1 esk5_0 (u2_incsp_1 esk1_0)False)False)((m1_subset_1 esk4_0 (u2_incsp_1 esk1_0)False)False)((m1_subset_1 esk3_0 (u1_incsp_1 esk1_0)False)False)((m1_subset_1 esk2_0 (u1_incsp_1 esk1_0)False)False)(∀X1, (r1_tarski X1 X1False)False)((v4_funct_1 esk24_0False)False)((v2_funct_1 esk21_0False)False)((v1_relat_1 esk22_0False)False)((v1_relat_1 esk21_0False)False)((v1_relat_1 esk19_0False)False)((v1_funct_1 esk22_0False)False)((v1_funct_1 esk21_0False)False)((v1_funct_1 esk19_0False)False)((l1_incsp_1 esk17_0False)False)((l1_incsp_1 esk1_0False)False)((v9_incproj esk1_0False)False)((v5_incproj esk1_0False)False)((v4_incproj esk1_0False)False)((v3_incproj esk1_0False)False)((v2_incproj esk1_0False)False)((v1_incproj esk1_0False)False)((v6_incsp_1 esk1_0False)False)False
Proof:
The rest of the proof is missing.