Theorem. (l45_funct_6)
∀k7_funct_6 : setset, ∀esk16_2 : setsetset, ∀k1_binop_1 : setsetsetset, ∀k2_funct_5 : setset, ∀esk17_3 : setsetsetset, ∀k10_xtuple_0 : setset, ∀k1_funct_6 : setset, ∀k8_relat_1 : setsetset, ∀k2_funct_6 : setset, ∀esk14_3 : setsetsetset, ∀esk9_3 : setsetsetset, ∀esk3_2 : setsetset, ∀esk2_2 : setsetset, ∀esk6_2 : setsetset, ∀v1_xboole_0 : setprop, ∀m1_subset_1 : setsetprop, ∀v2_relat_1 : setprop, ∀r1_tarski : setsetprop, ∀esk8_2 : setsetset, ∀v2_finset_1 : setprop, ∀v1_funcop_1 : setprop, ∀v3_funct_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀v3_ordinal1 : setprop, ∀v1_setfam_1 : setprop, ∀v5_ordinal1 : setprop, ∀esk26_1 : setset, ∀v2_funcop_1 : setprop, ∀k1_xboole_0 : set, ∀esk36_0 : set, ∀esk40_0 : set, ∀esk37_0 : set, ∀esk32_0 : set, ∀esk29_0 : set, ∀esk23_0 : set, ∀esk18_1 : setset, ∀esk33_0 : set, ∀esk20_0 : set, ∀esk22_0 : set, ∀esk24_0 : set, ∀esk21_0 : set, ∀o_0_0_xboole_0 : set, ∀esk28_0 : set, ∀esk30_0 : set, ∀esk35_0 : set, ∀esk25_0 : set, ∀v1_xtuple_0 : setprop, ∀esk19_0 : set, ∀esk27_0 : set, ∀esk31_0 : set, ∀esk34_0 : set, ∀esk39_0 : set, ∀esk41_0 : set, ∀esk1_0 : set, ∀v7_ordinal1 : setprop, ∀v2_ordinal1 : setprop, ∀v1_ordinal1 : setprop, ∀v2_funct_1 : setprop, ∀esk38_1 : setset, ∀v6_ordinal1 : setprop, ∀v5_finset_1 : setprop, ∀v3_relat_1 : setprop, ∀v1_finset_1 : setprop, ∀v4_funct_1 : setprop, ∀k1_zfmisc_1 : setset, ∀esk5_2 : setsetset, ∀esk4_3 : setsetsetset, ∀esk13_2 : setsetset, ∀k2_tarski : setsetset, ∀k1_tarski : setset, ∀esk7_2 : setsetset, ∀k3_funct_6 : setset, ∀esk15_3 : setsetsetset, ∀esk11_2 : setsetset, ∀esk12_3 : setsetsetset, ∀k9_xtuple_0 : setset, ∀esk10_4 : setsetsetsetset, ∀k1_funct_1 : setsetset, ∀v1_funct_1 : setprop, ∀v1_relat_1 : setprop, ∀k4_card_3 : setset, ∀r2_hidden : setsetprop, (∀X1 X2 X4 X3, (r2_hidden X4 X3False)X1 = X4X3 = (k4_card_3 X2)(k9_xtuple_0 X1) = (k9_xtuple_0 X2)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1r2_hidden (k1_funct_1 X1 (esk10_4 X2 X3 X4 X1)) (k1_funct_1 X2 (esk10_4 X2 X3 X4 X1))False)(∀X1 X3 X2, (X3 = (k7_funct_6 X2)False)(k9_xtuple_0 X3) = (k4_card_3 (k2_funct_6 X2))(k1_funct_1 X3 (esk16_2 X2 X3)) = X1(k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))(k1_binop_1 (k2_funct_5 X2) (esk17_3 X2 X3 X1) (k1_funct_1 (esk16_2 X2 X3) (esk17_3 X2 X3 X1))) = (k1_funct_1 X1 (esk17_3 X2 X3 X1))v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1False)(∀X1 X3 X2, (X3 = (k4_card_3 X2)False)(esk11_2 X2 X3) = X1(k9_xtuple_0 X1) = (k9_xtuple_0 X2)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1r2_hidden (esk11_2 X2 X3) X3r2_hidden (k1_funct_1 X1 (esk12_3 X2 X3 X1)) (k1_funct_1 X2 (esk12_3 X2 X3 X1))False)(∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1r2_hidden (esk14_3 X1 X2 X3) X3r2_hidden (esk14_3 X1 X2 X3) (k9_xtuple_0 X1)r2_hidden (k1_funct_1 X1 (esk14_3 X1 X2 X3)) X2False)(∀X4 X1 X3 X2, ((k1_funct_1 (esk15_3 X2 X3 X4) X1) = (k1_binop_1 (k2_funct_5 X2) X1 (k1_funct_1 X4 X1))False)X3 = (k7_funct_6 X2)v1_relat_1 X4v1_relat_1 X3v1_relat_1 X2v1_funct_1 X4v1_funct_1 X3v1_funct_1 X2r2_hidden X4 (k4_card_3 (k2_funct_6 X2))r2_hidden X1 (k9_xtuple_0 (esk15_3 X2 X3 X4))False)(∀X4 X1 X3 X2, (r2_hidden X3 X2False)(r2_hidden (esk10_4 X1 X2 X3 X4) (k9_xtuple_0 X1)False)X3 = X4X2 = (k4_card_3 X1)(k9_xtuple_0 X1) = (k9_xtuple_0 X4)v1_relat_1 X4v1_relat_1 X1v1_funct_1 X4v1_funct_1 X1False)(∀X2 X3 X1, (X3 = (k8_relat_1 X1 X2)False)(r2_hidden (esk14_3 X1 X2 X3) X3False)(r2_hidden (k1_funct_1 X1 (esk14_3 X1 X2 X3)) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X1 X4 X3 X2, (r2_hidden (k1_funct_1 (esk9_3 X2 X3 X4) X1) (k1_funct_1 X2 X1)False)X3 = (k4_card_3 X2)v1_relat_1 X2v1_funct_1 X2r2_hidden X4 X3r2_hidden X1 (k9_xtuple_0 X2)False)(∀X3 X2 X1, (X2 = (k7_funct_6 X1)False)(r2_hidden (esk17_3 X1 X2 X3) (k9_xtuple_0 X3)False)(k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1))(k1_funct_1 X2 (esk16_2 X1 X2)) = X3(k9_xtuple_0 X3) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (X1 = (k2_funct_6 X2)False)(k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))(k1_funct_1 X1 (esk3_2 X2 X1)) = (k9_xtuple_0 (k1_funct_1 X2 (esk3_2 X2 X1)))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (X1 = (k3_funct_6 X2)False)(k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))(k1_funct_1 X1 (esk7_2 X2 X1)) = (k10_xtuple_0 (k1_funct_1 X2 (esk7_2 X2 X1)))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X3 X2 X1, (X3 = (k8_relat_1 X1 X2)False)(r2_hidden (esk14_3 X1 X2 X3) X3False)(r2_hidden (esk14_3 X1 X2 X3) (k9_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X3 X2 X1, (X2 = (k4_card_3 X1)False)(r2_hidden (esk12_3 X1 X2 X3) (k9_xtuple_0 X1)False)(esk11_2 X1 X2) = X3(k9_xtuple_0 X1) = (k9_xtuple_0 X3)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1r2_hidden (esk11_2 X1 X2) X2False)(∀X3 X2 X1, ((k9_xtuple_0 (esk15_3 X1 X2 X3)) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))False)X2 = (k7_funct_6 X1)v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1r2_hidden X3 (k4_card_3 (k2_funct_6 X1))False)(∀X4 X1 X2 X3, (r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k9_xtuple_0 (k2_funct_5 X3))False)X4 = (k1_funct_1 X3 X1)v1_relat_1 X4v1_relat_1 X3v1_funct_1 X4v1_funct_1 X3r2_hidden X2 (k9_xtuple_0 X4)r2_hidden X1 (k9_xtuple_0 X3)False)(∀X1 X2, (X2 = (k1_funct_6 X1)False)v1_relat_1 (esk2_2 X1 X2)v1_funct_1 (esk2_2 X1 X2)r2_hidden (esk2_2 X1 X2) X2r2_hidden (esk2_2 X1 X2) X1False)(∀X3 X2 X1, (v1_funct_1 (esk15_3 X1 X2 X3)False)X2 = (k7_funct_6 X1)v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1r2_hidden X3 (k4_card_3 (k2_funct_6 X1))False)(∀X3 X2 X1, (v1_relat_1 (esk15_3 X1 X2 X3)False)X2 = (k7_funct_6 X1)v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1r2_hidden X3 (k4_card_3 (k2_funct_6 X1))False)(∀X1 X3 X2, (X3 = (k4_card_3 X2)False)(r2_hidden (esk11_2 X2 X3) X3False)(r2_hidden (k1_funct_1 (esk13_2 X2 X3) X1) (k1_funct_1 X2 X1)False)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X3 X2, ((k1_funct_1 X3 X1) = (k9_xtuple_0 (k1_funct_1 X2 X1))False)X3 = (k2_funct_6 X2)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2r2_hidden X1 (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))False)(∀X1 X3 X2, ((k1_funct_1 X3 X1) = (k10_xtuple_0 (k1_funct_1 X2 X1))False)X3 = (k3_funct_6 X2)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2r2_hidden X1 (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))False)(∀X1 X2, (X2 = (k2_funct_6 X1)False)(r2_hidden (esk3_2 X1 X2) (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))False)(k9_xtuple_0 X2) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (X2 = (k3_funct_6 X1)False)(r2_hidden (esk7_2 X1 X2) (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))False)(k9_xtuple_0 X2) = (k8_relat_1 X1 (k1_funct_6 (k10_xtuple_0 X1)))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X3 X1 X2 X4, ((k1_binop_1 (k2_funct_5 X1) X2 X3) = (k1_funct_1 X4 X3)False)X4 = (k1_funct_1 X1 X2)v1_relat_1 X4v1_relat_1 X1v1_funct_1 X4v1_funct_1 X1r2_hidden X3 (k9_xtuple_0 X4)r2_hidden X2 (k9_xtuple_0 X1)False)(∀X4 X2 X1 X3, (r2_hidden (k1_funct_1 X1 X2) (k10_xtuple_0 (k2_funct_5 X3))False)X1 = (k1_funct_1 X3 X4)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1r2_hidden X4 (k9_xtuple_0 X3)r2_hidden X2 (k9_xtuple_0 X1)False)(∀X3 X2 X1, ((k1_funct_1 X1 (k2_tarski (k2_tarski X2 X3) (k1_tarski X2))) = (k1_binop_1 X1 X2 X3)False)v1_relat_1 X1v1_funct_1 X1False)(∀X3 X2 X1, (r2_hidden (esk4_3 X1 X2 X3) (k9_xtuple_0 X1)False)X2 = (k10_xtuple_0 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X2 X1 X3, ((esk15_3 X3 X1 X2) = (k1_funct_1 X1 X2)False)X1 = (k7_funct_6 X3)v1_relat_1 X3v1_relat_1 X2v1_relat_1 X1v1_funct_1 X3v1_funct_1 X2v1_funct_1 X1r2_hidden X2 (k4_card_3 (k2_funct_6 X3))False)(∀X1 X3 X2, ((k1_funct_1 X2 (esk4_3 X2 X3 X1)) = X1False)X3 = (k10_xtuple_0 X2)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 X3False)(∀X3 X2 X1, ((k9_xtuple_0 (esk9_3 X1 X2 X3)) = (k9_xtuple_0 X1)False)X2 = (k4_card_3 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X3 X2 X1, (X2 = (k10_xtuple_0 X1)False)(esk5_2 X1 X2) = (k1_funct_1 X1 X3)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 (k9_xtuple_0 X1)r2_hidden (esk5_2 X1 X2) X2False)(∀X3 X2 X1, (v1_funct_1 (esk9_3 X1 X2 X3)False)X2 = (k4_card_3 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X3 X2 X1, (v1_relat_1 (esk9_3 X1 X2 X3)False)X2 = (k4_card_3 X1)v1_relat_1 X1v1_funct_1 X1r2_hidden X3 X2False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k8_relat_1 X2 X3)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)r2_hidden (k1_funct_1 X2 X1) X3False)(∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 (k2_funct_6 X2))False)X3 = (k1_funct_1 X2 X1)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 (k3_funct_6 X2))False)X3 = (k1_funct_1 X2 X1)v1_relat_1 X3v1_relat_1 X2v1_funct_1 X3v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X1 X2, (X2 = (k7_funct_6 X1)False)(r2_hidden (esk16_2 X1 X2) (k4_card_3 (k2_funct_6 X1))False)(k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)((k1_funct_1 X1 (esk6_2 X1 X2)) = (esk5_2 X1 X2)False)(r2_hidden (esk5_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X1 X2 X3, ((k1_funct_1 (k2_funct_6 X1) X2) = (k9_xtuple_0 X3)False)X3 = (k1_funct_1 X1 X2)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1r2_hidden X2 (k9_xtuple_0 X1)False)(∀X1 X2 X3, ((k1_funct_1 (k3_funct_6 X1) X2) = (k10_xtuple_0 X3)False)X3 = (k1_funct_1 X1 X2)v1_relat_1 X3v1_relat_1 X1v1_funct_1 X3v1_funct_1 X1r2_hidden X2 (k9_xtuple_0 X1)False)(∀X2 X1, (X2 = (k10_xtuple_0 X1)False)(r2_hidden (esk5_2 X1 X2) X2False)(r2_hidden (esk6_2 X1 X2) (k9_xtuple_0 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀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)(∀X4 X2 X1 X3, (r2_hidden (k1_funct_1 X1 X2) X3False)X4 = (k8_relat_1 X1 X3)v1_relat_1 X1v1_funct_1 X1r2_hidden X2 X4False)(∀X1 X3 X2, ((esk9_3 X2 X3 X1) = X1False)X3 = (k4_card_3 X2)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 X3False)(∀X2 X1, (X2 = (k4_card_3 X1)False)((k9_xtuple_0 (esk13_2 X1 X2)) = (k9_xtuple_0 X1)False)(r2_hidden (esk11_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X1 X3 X4, (r2_hidden X3 X4False)X4 = (k10_xtuple_0 X2)X3 = (k1_funct_1 X2 X1)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 (k9_xtuple_0 X2)False)(∀X2 X1, (X2 = (k4_card_3 X1)False)(v1_funct_1 (esk13_2 X1 X2)False)(r2_hidden (esk11_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X1, (X2 = (k4_card_3 X1)False)(v1_relat_1 (esk13_2 X1 X2)False)(r2_hidden (esk11_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X2 X1, (X2 = (k4_card_3 X1)False)((esk11_2 X1 X2) = (esk13_2 X1 X2)False)(r2_hidden (esk11_2 X1 X2) X2False)v1_relat_1 X1v1_funct_1 X1False)(∀X1 X2, (X2 = (k7_funct_6 X1)False)(v1_funct_1 (esk16_2 X1 X2)False)(k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (X2 = (k7_funct_6 X1)False)(v1_relat_1 (esk16_2 X1 X2)False)(k9_xtuple_0 X2) = (k4_card_3 (k2_funct_6 X1))v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (X2 = (k1_funct_6 X1)False)(r2_hidden (esk2_2 X1 X2) X2False)(r2_hidden (esk2_2 X1 X2) X1False)False)(∀X3 X4 X1 X2, (r2_hidden X1 (k9_xtuple_0 X2)False)X3 = (k8_relat_1 X2 X4)v1_relat_1 X2v1_funct_1 X2r2_hidden X1 X3False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk8_2 X1 X2) X2False)(∀X2 X1, (X2 = (k1_funct_6 X1)False)(v1_funct_1 (esk2_2 X1 X2)False)(r2_hidden (esk2_2 X1 X2) X2False)False)(∀X2 X1, (X2 = (k1_funct_6 X1)False)(v1_relat_1 (esk2_2 X1 X2)False)(r2_hidden (esk2_2 X1 X2) X2False)False)(∀X1 X2, ((k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))False)X1 = (k2_funct_6 X2)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, ((k9_xtuple_0 X1) = (k8_relat_1 X2 (k1_funct_6 (k10_xtuple_0 X2)))False)X1 = (k3_funct_6 X2)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_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)(∀X2 X1 X3, (r2_hidden X1 X3False)X3 = (k1_funct_6 X2)v1_relat_1 X1v1_funct_1 X1r2_hidden X1 X2False)(∀X1 X3 X2, (r2_hidden X3 X2False)r1_tarski X1 X2r2_hidden X3 X1False)(∀X1 X2, (v4_funct_1 (k2_tarski X1 X2)False)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_1 X1False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk8_2 X1 X2) X1False)False)(∀X2 X1, (v1_finset_1 (k8_relat_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v1_finset_1 X1False)(∀X2 X1, (v1_finset_1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v2_finset_1 X1False)(∀X2 X1, (v1_xboole_0 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v3_relat_1 X1False)(∀X2 X1, (v1_funct_1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X2 X1, (v1_relat_1 (k1_funct_1 X1 X2)False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X1 X2, ((k9_xtuple_0 X1) = (k4_card_3 (k2_funct_6 X2))False)X1 = (k7_funct_6 X2)v1_relat_1 X2v1_relat_1 X1v1_funct_1 X2v1_funct_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)(∀X3 X1 X2, (r2_hidden X1 X2False)X3 = (k1_funct_6 X2)r2_hidden X1 X3False)(∀X2 X1, r2_hidden X2 X1r2_hidden X1 X2False)(∀X2 X1, (v5_finset_1 (k2_tarski X1 X2)False)v1_finset_1 X2v1_finset_1 X1False)(∀X2 X1, (v1_xboole_0 (k8_relat_1 X1 X2)False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1 X2, (v1_xboole_0 (k8_relat_1 X1 X2)False)v1_relat_1 X1v1_xboole_0 X2False)(∀X1 X2, (v4_funct_1 X2False)v4_funct_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v5_finset_1 X2False)v5_finset_1 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_finset_1 X2False)v1_finset_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_relat_1 X2False)v1_relat_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)(∀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 X3 X1, (v1_funct_1 X1False)X2 = (k1_funct_6 X3)r2_hidden X1 X2False)(∀X2 X3 X1, (v1_relat_1 X1False)X2 = (k1_funct_6 X3)r2_hidden X1 X2False)(∀X1 X2, (v3_ordinal1 X2False)v3_ordinal1 X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_finset_1 X2False)v5_finset_1 X1m1_subset_1 X2 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, (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_zfmisc_1 X1False)(m1_subset_1 (esk38_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk26_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 (k9_xtuple_0 X1)False)(∀X1, (v1_xboole_0 X1False)v1_relat_1 X1v1_xboole_0 (k10_xtuple_0 X1)False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_zfmisc_1 X1False)(∀X1, (v3_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v2_funct_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v2_funcop_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_funcop_1 X1False)(∀X1, (v1_funcop_1 X1False)v1_relat_1 X1v1_funct_1 X1v1_xboole_0 X1False)(∀X1, (v4_funct_1 (k1_tarski X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v5_finset_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v2_finset_1 X1False)(∀X1, (v1_zfmisc_1 (k9_xtuple_0 X1)False)v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v1_zfmisc_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 (k9_xtuple_0 X1)False)v1_relat_1 X1v1_finset_1 X1False)(∀X1, (v1_finset_1 (k10_xtuple_0 X1)False)v1_relat_1 X1v1_finset_1 X1False)(∀X1, (v1_funct_1 (k2_funct_5 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_funct_1 (k2_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_funct_1 (k3_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_funct_1 (k7_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_relat_1 (k2_funct_5 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_relat_1 (k2_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_relat_1 (k3_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_relat_1 (k7_funct_6 X1)False)v1_relat_1 X1v1_funct_1 X1False)(∀X1, (v1_zfmisc_1 X1False)v1_zfmisc_1 (esk38_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk26_1 X1)False)(∀X1, (v2_finset_1 X1False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1, (v2_relat_1 X1False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1, (v3_relat_1 X1False)v1_relat_1 X1v1_xboole_0 X1False)(∀X1, (v3_ordinal1 X1False)v1_ordinal1 X1v2_ordinal1 X1False)(∀X1, (v5_finset_1 (k1_tarski X1)False)v1_finset_1 X1False)(∀X1, (v5_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X1, (v1_finset_1 (k1_zfmisc_1 X1)False)v1_finset_1 X1False)(∀X1, (v1_xboole_0 (k9_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k9_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k10_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X1, (v1_xboole_0 (k10_xtuple_0 X1)False)v1_xboole_0 X1False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_zfmisc_1 X1False)(v1_finset_1 (esk38_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_finset_1 (esk26_1 X1)False)False)(∀X1, (v4_funct_1 X1False)v1_xboole_0 X1False)(∀X1, (v7_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v5_finset_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, (v3_ordinal1 X1False)v7_ordinal1 X1False)(∀X1, (v3_ordinal1 X1False)v1_xboole_0 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 X1False)v1_zfmisc_1 X1False)(∀X1, (v1_finset_1 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, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_tarski (k10_xtuple_0 (k7_funct_6 esk1_0)) (k4_card_3 (k3_funct_6 esk1_0))False)(∀X1 X2, v1_xboole_0 (k2_tarski X1 X2)False)(∀X1, v1_xboole_0 (k1_tarski X1)False)(v3_funct_1 esk36_0False)(v1_xboole_0 esk41_0False)(v1_xboole_0 esk40_0False)(v1_xboole_0 esk39_0False)(v1_xboole_0 esk37_0False)(v1_xboole_0 esk34_0False)(v1_xboole_0 esk32_0False)(v1_xboole_0 esk31_0False)(v1_xboole_0 esk29_0False)(v1_xboole_0 esk27_0False)(v1_xboole_0 esk23_0False)(v1_xboole_0 esk19_0False)(∀X1 X2 X3 X4, (v1_relat_1 (k2_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) (k2_tarski (k2_tarski X3 X4) (k1_tarski X3)))False)False)(∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)))False)False)(∀X1 X2, (v1_relat_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)))False)False)(∀X2 X1, (v1_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))False)False)(∀X1 X2, (v1_finset_1 (k2_tarski X1 X2)False)False)(∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1)False)False)(∀X1, (m1_subset_1 (esk18_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (v1_finset_1 (k1_tarski X1)False)False)((v1_xtuple_0 esk25_0False)False)((v2_finset_1 esk41_0False)False)((v4_funct_1 esk39_0False)False)((v7_ordinal1 esk37_0False)False)((v7_ordinal1 esk35_0False)False)((v5_finset_1 esk40_0False)False)((v2_relat_1 esk34_0False)False)((v2_relat_1 esk33_0False)False)((v2_relat_1 esk30_0False)False)((v3_funct_1 esk27_0False)False)((v2_funct_1 esk28_0False)False)((v1_funcop_1 esk20_0False)False)((v2_ordinal1 esk29_0False)False)((v1_ordinal1 esk29_0False)False)((v3_ordinal1 esk29_0False)False)((v3_ordinal1 esk22_0False)False)((v1_finset_1 esk40_0False)False)((v1_finset_1 esk32_0False)False)((v1_finset_1 esk19_0False)False)((v1_xboole_0 esk24_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((v1_funct_1 esk41_0False)False)((v1_funct_1 esk36_0False)False)((v1_funct_1 esk34_0False)False)((v1_funct_1 esk33_0False)False)((v1_funct_1 esk32_0False)False)((v1_funct_1 esk28_0False)False)((v1_funct_1 esk27_0False)False)((v1_funct_1 esk21_0False)False)((v1_funct_1 esk20_0False)False)((v1_funct_1 esk1_0False)False)((v1_relat_1 esk41_0False)False)((v1_relat_1 esk36_0False)False)((v1_relat_1 esk34_0False)False)((v1_relat_1 esk33_0False)False)((v1_relat_1 esk32_0False)False)((v1_relat_1 esk30_0False)False)((v1_relat_1 esk28_0False)False)((v1_relat_1 esk27_0False)False)((v1_relat_1 esk23_0False)False)((v1_relat_1 esk21_0False)False)((v1_relat_1 esk20_0False)False)((v1_relat_1 esk1_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.