Theorem. (t20_aff_4)
∀k1_aff_4 : setsetsetset, ∀esk10_4 : setsetsetsetset, ∀r1_tarski : setsetprop, ∀v1_aff_1 : setsetprop, ∀esk16_2 : setsetset, ∀esk18_2 : setsetset, ∀v2_struct_0 : setprop, ∀esk15_1 : setset, ∀l1_struct_0 : setprop, ∀esk13_1 : setset, ∀k1_xboole_0 : set, ∀v8_struct_0 : setprop, ∀v1_finset_1 : setprop, ∀v1_zfmisc_1 : setprop, ∀esk7_1 : setset, ∀esk5_0 : set, ∀esk6_0 : set, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀np__1 : set, ∀v13_struct_0 : setsetprop, ∀esk12_1 : setset, ∀v1_xboole_0 : setprop, ∀esk17_2 : setsetset, ∀r3_aff_1 : setsetsetprop, ∀esk19_3 : setsetsetset, ∀r5_aff_1 : setsetsetprop, ∀r2_aff_1 : setsetsetsetprop, ∀esk9_4 : setsetsetsetset, ∀esk8_4 : setsetsetsetset, ∀l1_analoaf : setprop, ∀r2_hidden : setsetprop, ∀a_3_0_aff_4 : setsetsetset, ∀u1_struct_0 : setset, ∀k1_zfmisc_1 : setset, ∀m1_subset_1 : setsetprop, ∀v1_diraf : setprop, ∀v7_struct_0 : setprop, (∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_aff_1 X1 (esk8_4 X2 X1 X3 X4) (esk9_4 X2 X1 X3 X4) X3False)v1_diraf X1l1_analoaf X1m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))r2_hidden X2 (a_3_0_aff_4 X1 X3 X4)False)(∀X2 X3 X4 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 (esk10_4 X1 X3 X4 X2) X3False)v1_diraf X1l1_analoaf X1m1_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))r2_hidden X2 (k1_aff_4 X1 X3 X4)False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X5 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X5m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X5 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X2 X3 X5m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X5 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X3 X2 X5m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X4 X3 X2 X5 X1, (v7_struct_0 X1False)(r2_aff_1 X1 X2 X3 X4False)v1_diraf X1l1_analoaf X1r5_aff_1 X1 X5 X4m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)r2_aff_1 X1 X3 X2 X5m1_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)(m1_subset_1 (esk10_4 X1 X2 X3 X4) (u1_struct_0 X1)False)v1_diraf X1l1_analoaf X1m1_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))r2_hidden X4 (k1_aff_4 X1 X2 X3)False)(∀X1 X5 X4 X6 X2 X3, (X2 = X3False)(v7_struct_0 X1False)(r1_tarski X6 (k1_aff_4 X1 X4 X5)False)v1_diraf X1l1_analoaf X1v1_aff_1 X6 X1v1_aff_1 X5 X1v1_aff_1 X4 X1r2_hidden X3 X6r2_hidden X2 X6m1_subset_1 X3 (u1_struct_0 X1)m1_subset_1 X2 (u1_struct_0 X1)m1_subset_1 X6 (k1_zfmisc_1 (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))r2_hidden X3 (k1_aff_4 X1 X4 X5)r2_hidden X2 (k1_aff_4 X1 X4 X5)False)(∀X4 X2 X3 X1, (v7_struct_0 X1False)(r2_hidden (esk10_4 X1 X2 X3 X4) X3False)v1_diraf X1l1_analoaf X1m1_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))r2_hidden X4 (k1_aff_4 X1 X2 X3)False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(m1_subset_1 (esk9_4 X1 X2 X3 X4) (u1_struct_0 X2)False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (a_3_0_aff_4 X2 X3 X4)False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(m1_subset_1 (esk8_4 X1 X2 X3 X4) (u1_struct_0 X2)False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (a_3_0_aff_4 X2 X3 X4)False)(∀X4 X1 X3 X2, (v7_struct_0 X2False)(r2_hidden (esk9_4 X1 X2 X3 X4) X4False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (a_3_0_aff_4 X2 X3 X4)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)(∀X3 X5 X6 X4 X1 X2, (v7_struct_0 X2False)(r2_hidden X3 (a_3_0_aff_4 X2 X5 X6)False)X1 = X3v1_diraf X2l1_analoaf X2r2_hidden X4 X6m1_subset_1 X4 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r2_aff_1 X2 X1 X4 X5m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X3 X4 X5 X1 X2, (v7_struct_0 X2False)(r2_hidden X3 (k1_aff_4 X2 X4 X5)False)v1_diraf X2l1_analoaf X2r2_hidden X1 X5m1_subset_1 X3 (u1_struct_0 X2)m1_subset_1 X1 (u1_struct_0 X2)r2_aff_1 X2 X3 X1 X4m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))False)(∀X2 X3 X4 X1, (v7_struct_0 X1False)(r1_tarski (k1_aff_4 X1 X2 X3) (k1_aff_4 X1 X2 X4)False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_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))r1_tarski X3 (k1_aff_4 X1 X2 X4)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)(∀X4 X3 X2 X1, (v7_struct_0 X1False)(r2_hidden X3 X4False)v1_diraf X1l1_analoaf X1r2_hidden X2 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)(∀X4 X1 X3 X2, ((esk8_4 X1 X2 X3 X4) = X1False)(v7_struct_0 X2False)v1_diraf X2l1_analoaf X2m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2))m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2))r2_hidden X1 (a_3_0_aff_4 X2 X3 X4)False)(∀X3 X2 X1 X4 X5, (X4 = X5False)(X2 = X3False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1v1_aff_1 X5 X1v1_aff_1 X4 X1r2_hidden X3 X5r2_hidden X3 X4r2_hidden X2 X5r2_hidden X2 X4m1_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)(∀X2 X3 X1, (v7_struct_0 X1False)(r5_aff_1 X1 X2 (esk19_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)(∀X3 X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk19_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)(∀X2 X3 X1, (v7_struct_0 X1False)(m1_subset_1 (k1_aff_4 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1))False)v1_diraf X1l1_analoaf X1m1_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 (esk19_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 X3 X1, ((a_3_0_aff_4 X1 X2 X3) = (k1_aff_4 X1 X2 X3)False)(v7_struct_0 X1False)v1_diraf X1l1_analoaf X1m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1))m1_subset_1 X2 (k1_zfmisc_1 (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)(∀X2 X1, (v7_struct_0 X1False)(m1_subset_1 (esk17_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 (esk16_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)(esk17_2 X1 X2) = (esk16_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, (v7_struct_0 X1False)(r2_hidden (esk17_2 X1 X2) X2False)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)(r2_hidden (esk16_2 X1 X2) X2False)v1_diraf X1l1_analoaf X1v1_aff_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1))False)(∀X1 X3 X2, r2_hidden X3 X2r2_hidden X1 X2r2_hidden X1 (esk18_2 X3 X2)False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X2 X1, (r2_hidden (esk18_2 X1 X2) X2False)r2_hidden X1 X2False)(∀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 (esk12_1 X1) (k1_zfmisc_1 (u1_struct_0 X1))False)l1_struct_0 X1False)(∀X1, (v7_struct_0 X1False)(m1_subset_1 (esk13_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 (esk12_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 (esk13_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 (esk12_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)((k1_aff_4 esk1_0 esk2_0 esk4_0) = (k1_aff_4 esk1_0 esk2_0 esk3_0)False)(r5_aff_1 esk1_0 esk2_0 esk4_0False)(v1_xboole_0 esk14_0False)(v1_xboole_0 np__1False)(v7_struct_0 esk1_0False)((r1_tarski esk4_0 (k1_aff_4 esk1_0 esk2_0 esk3_0)False)False)((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk3_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0))False)False)(∀X1, (m1_subset_1 (esk7_1 X1) X1False)False)(∀X1, (r1_tarski X1 X1False)False)((v1_aff_1 esk4_0 esk1_0False)False)((v1_aff_1 esk3_0 esk1_0False)False)((v1_aff_1 esk2_0 esk1_0False)False)((v1_xboole_0 esk11_0False)False)((v1_xboole_0 k1_xboole_0False)False)((l1_struct_0 esk6_0False)False)((l1_analoaf esk5_0False)False)((l1_analoaf esk1_0False)False)((v1_diraf esk1_0False)False)False
Proof:
The rest of the proof is missing.