Theorem. (t18_papdesaf)
∀esk21_5 : setsetsetsetsetset, ∀r2_diraf : setsetsetsetsetprop, ∀v2_analoaf : setprop, ∀r3_diraf : setsetsetsetprop, ∀r2_hidden : setsetprop, ∀v1_aff_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀r3_aff_1 : setsetsetprop, ∀esk3_1 : setset, ∀esk4_1 : setset, ∀esk2_1 : setset, ∀esk20_4 : setsetsetsetset, ∀u1_analoaf : setset, ∀k2_zfmisc_1 : setsetset, ∀r5_aff_1 : setsetsetprop, ∀k2_aff_1 : setsetsetset, ∀v1_xboole_0 : setprop, ∀m2_subset_1 : setsetsetprop, ∀esk15_1 : setset, ∀r1_tarski : setsetprop, ∀v5_membered : setprop, ∀v3_membered : setprop, ∀v1_membered : setprop, ∀v7_ordinal1 : setprop, ∀v1_rat_1 : setprop, ∀v1_xxreal_0 : setprop, ∀k1_xboole_0 : set, ∀k1_numbers : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v7_membered : setprop, ∀esk18_0 : set, ∀esk14_0 : set, ∀esk13_0 : set, ∀esk11_1 : setset, ∀v2_xxreal_0 : setprop, ∀esk10_0 : set, ∀esk9_0 : set, ∀k4_ordinal1 : set, ∀esk17_0 : set, ∀esk1_0 : set, ∀v1_zfmisc_1 : setprop, ∀k5_numbers : set, ∀v1_xcmplx_0 : setprop, ∀v1_xreal_0 : setprop, ∀v1_int_1 : setprop, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀v6_membered : setprop, ∀v2_membered : setprop, ∀v4_membered : setprop, ∀esk16_1 : setset, ∀l1_struct_0 : setprop, ∀esk19_1 : setset, ∀esk12_2 : setsetset, ∀esk8_2 : setsetset, ∀esk7_2 : setsetset, ∀v1_analoaf : setprop, ∀g1_analoaf : setsetset, ∀esk5_1 : setset, ∀esk6_4 : setsetsetsetset, ∀k1_aff_1 : setsetsetset, ∀r1_aff_1 : setsetsetsetprop, ∀v2_struct_0 : setprop, ∀k2_diraf : setset, ∀r2_analoaf : setsetsetsetsetprop, ∀v1_translac : setprop, ∀u1_struct_0 : setset, ∀m1_subset_1 : setsetprop, ∀v1_diraf : setprop, ∀l1_analoaf : setprop, ∀v7_struct_0 : setprop, (∀X3 X4 X2 X5 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X4False)l1_analoaf X1v1_translac X1v1_diraf 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 X5 X3 X4r2_analoaf X1 X2 X4 X3 X5r2_analoaf X1 X2 X3 X4 X5False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)(r3_diraf X1 (esk21_5 X1 X2 X3 X4 X5) X2 X5False)v2_analoaf 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_diraf X1 X2 X4 X3 X5r2_diraf X1 X2 X3 X4 X5False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)(r3_diraf X1 (esk21_5 X1 X2 X3 X4 X5) X3 X4False)v2_analoaf 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_diraf X1 X2 X4 X3 X5r2_diraf X1 X2 X3 X4 X5False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)(m1_subset_1 (esk21_5 X1 X2 X3 X4 X5) (u1_struct_0 X1)False)v2_analoaf 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_diraf X1 X2 X4 X3 X5r2_diraf X1 X2 X3 X4 X5False)(∀X6 X5 X3 X2 X4 X7 X10 X9 X8 X1, (v7_struct_0 X1False)(v2_struct_0 X6False)(r2_analoaf X6 X7 X8 X9 X10False)X5 = X10X4 = X9X3 = X8X2 = X7X6 = (k2_diraf X1)v2_analoaf X1l1_analoaf X6l1_analoaf X1m1_subset_1 X10 (u1_struct_0 X6)m1_subset_1 X9 (u1_struct_0 X6)m1_subset_1 X8 (u1_struct_0 X6)m1_subset_1 X7 (u1_struct_0 X6)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)r2_diraf X1 X2 X3 X4 X5False)(∀X1 X5 X3 X2 X4 X7 X10 X9 X8 X6, (v7_struct_0 X6False)(v2_struct_0 X1False)(r2_diraf X6 X7 X8 X9 X10False)X5 = X10X4 = X9X3 = X8X2 = X7X1 = (k2_diraf X6)v2_analoaf X6l1_analoaf X6l1_analoaf X1m1_subset_1 X10 (u1_struct_0 X6)m1_subset_1 X9 (u1_struct_0 X6)m1_subset_1 X8 (u1_struct_0 X6)m1_subset_1 X7 (u1_struct_0 X6)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)r2_analoaf X1 X2 X3 X4 X5False)(∀X5 X3 X2 X4 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X4 X5False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)(∀X3 X2 X6 X7 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)(r3_aff_1 X1 X6 X7False)l1_analoaf X1v1_diraf X1r2_hidden X5 X7r2_hidden X4 X7r2_hidden X3 X6r2_hidden X2 X6v1_aff_1 X7 X1v1_aff_1 X6 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 X4 X5m1_subset_1 X7 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)l1_analoaf X1v1_diraf X1m1_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 X2 X4False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r3_diraf X1 X2 X3 X4False)l1_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)r2_diraf X1 X2 X3 X2 X4False)(∀X3 X4 X2 X1, (X4 = (k1_aff_1 X1 X2 X3)False)(v7_struct_0 X1False)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))r2_hidden (esk6_4 X1 X2 X3 X4) X4r1_aff_1 X1 X2 X3 (esk6_4 X1 X2 X3 X4)False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)l1_analoaf X1v1_diraf X1r2_analoaf X1 (esk2_1 X1) (esk3_1 X1) (esk2_1 X1) (esk4_1 X1)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_analoaf X1 X2 X3 X2 X4False)l1_analoaf X1v1_diraf 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 X3 X4False)(∀X3 X2 X4 X1, (v2_struct_0 X1False)(r2_diraf X1 X2 X3 X2 X4False)l1_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)r3_diraf X1 X2 X3 X4False)(∀X5 X4 X2 X3 X1 X6 X7, (X6 = X7False)(X4 = X5False)(v7_struct_0 X1False)(r2_analoaf X1 X4 X5 X6 X7False)l1_analoaf X1v1_diraf X1r2_hidden X7 X3r2_hidden X6 X3r2_hidden X5 X2r2_hidden X4 X2v1_aff_1 X3 X1v1_aff_1 X2 X1r3_aff_1 X1 X2 X3m1_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 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X3 X2 X4 X1, (X4 = (k1_aff_1 X1 X2 X3)False)(v7_struct_0 X1False)(r2_hidden (esk6_4 X1 X2 X3 X4) X4False)(r1_aff_1 X1 X2 X3 (esk6_4 X1 X2 X3 X4)False)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(r2_analoaf X1 (esk2_1 X1) (esk5_1 X1) (esk3_1 X1) (esk4_1 X1)False)l1_analoaf X1v1_diraf X1False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(r2_analoaf X1 (esk2_1 X1) (esk4_1 X1) (esk3_1 X1) (esk5_1 X1)False)l1_analoaf X1v1_diraf X1False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(r2_analoaf X1 (esk2_1 X1) (esk3_1 X1) (esk4_1 X1) (esk5_1 X1)False)l1_analoaf X1v1_diraf X1False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (esk20_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_analoaf X1v1_diraf 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 X3 X4False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(v1_aff_1 (esk20_4 X1 X2 X3 X4) X1False)l1_analoaf X1v1_diraf 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 X3 X4False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk20_4 X2 X1 X3 X4)False)l1_analoaf X2v1_diraf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X1 X3 X4False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk20_4 X2 X3 X1 X4)False)l1_analoaf X2v1_diraf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X3 X1 X4False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (esk20_4 X2 X3 X4 X1)False)l1_analoaf X2v1_diraf X2m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r1_aff_1 X2 X3 X4 X1False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X3 X4False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)(∀X3 X2 X4 X1, (X4 = (k1_aff_1 X1 X2 X3)False)(v7_struct_0 X1False)(m1_subset_1 (esk6_4 X1 X2 X3 X4) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X5 X4 X3 X2 X1, (v7_struct_0 X1False)(r2_hidden X4 X5False)X5 = (k1_aff_1 X1 X2 X3)l1_analoaf X1v1_diraf 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 X3 X4m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X5 X4 X2 X3, (v7_struct_0 X3False)(r1_aff_1 X3 X4 X5 X1False)X2 = (k1_aff_1 X3 X4 X5)l1_analoaf X3v1_diraf X3r2_hidden X1 X2m1_subset_1 X5 (u1_struct_0 X3)m1_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)(∀X5 X4 X3 X1 X2, (v7_struct_0 X2False)(r1_aff_1 X2 X3 X4 X5False)l1_analoaf X2v1_diraf X2r2_hidden X5 X1r2_hidden X4 X1r2_hidden X3 X1v1_aff_1 X1 X2m1_subset_1 X5 (u1_struct_0 X2)m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1, (m1_subset_1 (u1_analoaf X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1))))False)l1_analoaf X1False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_analoaf X1 X3) = (g1_analoaf X2 X4)m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X3 X4 X1 X2, (X1 = X2False)(g1_analoaf X3 X1) = (g1_analoaf X4 X2)m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) (k2_zfmisc_1 X3 X3)))False)(∀X1 X2, (v1_analoaf (g1_analoaf X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X1 X2, (l1_analoaf (g1_analoaf X1 X2)False)m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1)))False)(∀X2 X3 X1, (v7_struct_0 X1False)(r1_aff_1 X1 X2 X2 X3False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X2 X3 X4, (X3 = X4False)(v7_struct_0 X1False)l1_analoaf X1v1_diraf 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)(r3_aff_1 X1 X2 X3False)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf 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 X4 X1 X3, (X1 = X3False)(v7_struct_0 X2False)(v1_aff_1 X4 X2False)X4 = (k2_aff_1 X2 X1 X3)l1_analoaf X2v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, (v7_struct_0 X2False)(r2_hidden X1 (k2_aff_1 X2 X1 X3)False)l1_analoaf X2v1_diraf 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)l1_analoaf X2v1_diraf X2m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)False)(∀X1 X2, ((k2_aff_1 X2 (esk7_2 X2 X1) (esk8_2 X2 X1)) = X1False)(v7_struct_0 X2False)l1_analoaf X2v1_diraf 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)l1_analoaf X1v1_diraf 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)l1_analoaf X1v1_diraf X1m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)False)(∀X1 X3 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m1_subset_1 X3 X1False)m2_subset_1 X3 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m1_subset_1 X1 X3False)m2_subset_1 X1 X2 X3m1_subset_1 X3 (k1_zfmisc_1 X2)False)(∀X1 X2, (v7_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)v2_analoaf X2l1_analoaf X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k2_diraf X2)))False)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk8_2 X1 X2) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf 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 (esk7_2 X1 X2) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X2 X1, (v7_struct_0 X1False)(esk8_2 X1 X2) = (esk7_2 X1 X2)l1_analoaf X1v1_diraf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X2, (v7_struct_0 X2False)(m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k2_diraf X2)))False)v2_analoaf X2l1_analoaf X2m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X1 X2, (v1_xboole_0 X2False)(v1_xboole_0 X1False)(m2_subset_1 (esk12_2 X1 X2) X1 X2False)m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, (v1_xboole_0 X3False)(v1_xboole_0 X2False)(m2_subset_1 X1 X3 X2False)m1_subset_1 X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X1 X2, (v7_struct_0 X2False)(m1_subset_1 X1 (u1_struct_0 X2)False)v2_analoaf X2l1_analoaf X2m1_subset_1 X1 (u1_struct_0 (k2_diraf X2))False)(∀X1 X2, (v7_struct_0 X2False)(m1_subset_1 X1 (u1_struct_0 (k2_diraf X2))False)v2_analoaf X2l1_analoaf X2m1_subset_1 X1 (u1_struct_0 X2)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 (esk19_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, (v7_struct_0 X1False)(v1_translac X1False)(m1_subset_1 (esk5_1 X1) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf X1False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(m1_subset_1 (esk4_1 X1) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf X1False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(m1_subset_1 (esk3_1 X1) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf X1False)(∀X1, (v7_struct_0 X1False)(v1_translac X1False)(m1_subset_1 (esk2_1 X1) (u1_struct_0 X1)False)l1_analoaf X1v1_diraf 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)(∀X1 X2, (v5_membered X2False)v5_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v4_membered X2False)v4_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v3_membered X2False)v3_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v2_membered X2False)v2_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v1_membered X2False)v1_membered X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X1 X2, (v6_membered X2False)v6_membered 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, ((g1_analoaf (u1_struct_0 X1) (u1_analoaf X1)) = X1False)l1_analoaf X1v1_analoaf X1False)(∀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, (v7_struct_0 X1False)v2_analoaf X1l1_analoaf X1v7_struct_0 (k2_diraf X1)False)(∀X1, l1_struct_0 X1v2_struct_0 X1v13_struct_0 X1 np__1False)(∀X1 X2, (v7_ordinal1 X2False)v6_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_int_1 X2False)v5_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_rat_1 X2False)v4_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xreal_0 X2False)v3_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xxreal_0 X2False)v2_membered X1m1_subset_1 X2 X1False)(∀X1 X2, (v1_xcmplx_0 X2False)v1_membered X1m1_subset_1 X2 X1False)(∀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, (v3_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k1_numbers)False)(∀X1, (v6_membered X1False)m1_subset_1 X1 (k1_zfmisc_1 k5_numbers)False)(∀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, (v7_struct_0 X1False)(v1_diraf (k2_diraf X1)False)v2_analoaf X1l1_analoaf X1False)(∀X1, (v7_struct_0 X1False)(v1_analoaf (k2_diraf X1)False)v2_analoaf X1l1_analoaf X1False)(∀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 (esk19_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, (v2_struct_0 X1False)l1_analoaf X1v2_struct_0 (k2_diraf 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, (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, (v6_membered X1False)m1_subset_1 X1 k5_numbersFalse)(∀X1, (v2_struct_0 X1False)(v1_zfmisc_1 (esk15_1 X1)False)l1_struct_0 X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k2_diraf X1)False)l1_analoaf X1False)(∀X1, (v2_struct_0 X1False)(v1_analoaf (k2_diraf X1)False)l1_analoaf X1False)(∀X1, (v2_struct_0 X1False)(l1_analoaf (k2_diraf X1)False)l1_analoaf 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, (v7_membered X1False)v1_xboole_0 X1False)(∀X1, (v5_membered X1False)v6_membered X1False)(∀X1, (v4_membered X1False)v5_membered X1False)(∀X1, (v3_membered X1False)v4_membered X1False)(∀X1, (v2_membered X1False)v3_membered X1False)(∀X1, (v1_membered X1False)v3_membered X1False)(∀X1, (v6_membered X1False)v1_xboole_0 X1False)(∀X1, (l1_struct_0 X1False)l1_analoaf X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(v1_translac (k2_diraf esk1_0)False)(v1_xboole_0 esk18_0False)(v1_xboole_0 esk17_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 np__1False)(v2_struct_0 esk13_0False)(v7_struct_0 esk13_0False)(v7_struct_0 esk1_0False)((m2_subset_1 np__1 k1_numbers k5_numbersFalse)False)(∀X1, (m1_subset_1 (esk11_1 X1) X1False)False)((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers)False)False)(∀X1, (r1_tarski X1 X1False)False)((m1_subset_1 k1_xboole_0 k4_ordinal1False)False)((m1_subset_1 np__1 k1_numbersFalse)False)((m1_subset_1 np__1 k5_numbersFalse)False)((v2_xxreal_0 np__1False)False)((v1_diraf esk13_0False)False)((v7_membered esk18_0False)False)((v7_membered k4_ordinal1False)False)((v7_membered k1_numbersFalse)False)((v3_membered k1_numbersFalse)False)((v6_membered esk18_0False)False)((v6_membered esk17_0False)False)((v6_membered esk14_0False)False)((v6_membered k4_ordinal1False)False)((l1_struct_0 esk10_0False)False)((v1_analoaf esk13_0False)False)((l1_analoaf esk13_0False)False)((l1_analoaf esk9_0False)False)((l1_analoaf esk1_0False)False)((v2_analoaf esk1_0False)False)((k4_ordinal1 = k5_numbersFalse)False)False
Proof:
The rest of the proof is missing.