Theorem. (t4_bvfunc_2)
∀r2_hidden : setsetprop, ∀k3_xboole_0 : setsetset, ∀esk17_3 : setsetsetset, ∀k1_xboole_0 : set, ∀esk10_3 : setsetsetset, ∀k3_bvfunc_2 : setsetset, ∀k3_tarski : setset, ∀r1_setfam_1 : setsetprop, ∀esk8_3 : setsetsetset, ∀esk15_2 : setsetset, ∀esk16_2 : setsetset, ∀esk29_1 : setset, ∀esk23_1 : setset, ∀esk27_1 : setset, ∀esk25_0 : set, ∀esk24_1 : setset, ∀v1_eqrel_1 : setsetprop, ∀o_1_0_bvfunc_2 : setset, ∀esk22_0 : set, ∀o_0_0_xboole_0 : set, ∀esk19_1 : setset, ∀esk18_1 : setset, ∀esk20_1 : setset, ∀esk26_1 : setset, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk3_0 : set, ∀v2_card_3 : setprop, ∀esk28_1 : setset, ∀v1_setfam_1 : setprop, ∀esk21_1 : setset, ∀v1_subset_1 : setsetprop, ∀esk11_2 : setsetset, ∀esk9_2 : setsetset, ∀k10_eqrel_1 : setset, ∀esk14_3 : setsetsetset, ∀r1_xboole_0 : setsetprop, ∀esk13_2 : setsetset, ∀k5_setfam_1 : setsetset, ∀esk12_2 : setsetset, ∀esk4_3 : setsetsetset, ∀esk6_3 : setsetsetset, ∀esk7_3 : setsetsetset, ∀m1_eqrel_1 : setsetprop, ∀v1_xboole_0 : setprop, ∀r1_bvfunc_2 : setsetsetprop, ∀m1_subset_1 : setsetprop, ∀k1_zfmisc_1 : setset, ∀k1_bvfunc_2 : setset, ∀esk5_4 : setsetsetsetset, ∀r1_partit1 : setsetsetprop, ∀r1_tarski : setsetprop, (∀X1 X2 X3 X4, (X3 = X4False)(v1_xboole_0 X1False)r1_tarski X4 X3r1_bvfunc_2 X1 X2 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))r1_partit1 X1 (esk5_4 X1 X2 X3 X4) X4False)(∀X1 X2 X3 X4, (X3 = X4False)(v1_xboole_0 X1False)(r2_hidden (esk5_4 X1 X2 X3 X4) X2False)r1_tarski X4 X3r1_bvfunc_2 X1 X2 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X2 X3 X4, (X3 = X4False)(v1_xboole_0 X1False)(m1_eqrel_1 (esk5_4 X1 X2 X3 X4) X1False)r1_tarski X4 X3r1_bvfunc_2 X1 X2 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)r2_hidden (esk17_3 X1 X2 X3) X3r2_hidden (esk17_3 X1 X2 X3) X2r2_hidden (esk17_3 X1 X2 X3) X1False)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(r1_bvfunc_2 X2 X3 X4False)(r1_partit1 X2 X1 (esk7_3 X2 X3 X4)False)m1_eqrel_1 X1 X2r2_hidden X1 X3m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))r1_partit1 X2 (esk6_3 X2 X3 X4) X4False)(∀X1 X3 X2, (X2 = k1_xboole_0False)(X3 = (k3_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))r2_hidden (esk10_3 X1 X2 X3) X3r1_bvfunc_2 X1 X2 (esk10_3 X1 X2 X3)False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(r1_tarski (esk7_3 X1 X2 X3) X3False)m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))r1_partit1 X1 (esk6_3 X1 X2 X3) X3False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(esk7_3 X1 X2 X3) = X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))r1_partit1 X1 (esk6_3 X1 X2 X3) X3False)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(r1_bvfunc_2 X2 X3 X4False)(r2_hidden (esk6_3 X2 X3 X4) X3False)(r1_partit1 X2 X1 (esk7_3 X2 X3 X4)False)m1_eqrel_1 X1 X2r2_hidden X1 X3m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X3 X4 X1 X2, (v1_xboole_0 X2False)(r1_bvfunc_2 X2 X3 X4False)(m1_eqrel_1 (esk6_3 X2 X3 X4) X2False)(r1_partit1 X2 X1 (esk7_3 X2 X3 X4)False)m1_eqrel_1 X1 X2r2_hidden X1 X3m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X1 X3 X2, (X2 = k1_xboole_0False)(X3 = (k3_bvfunc_2 X1 X2)False)(v1_xboole_0 X1False)(r2_hidden (esk10_3 X1 X2 X3) X3False)(r1_bvfunc_2 X1 X2 (esk10_3 X1 X2 X3)False)m1_eqrel_1 X3 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(r2_hidden (esk6_3 X1 X2 X3) X2False)(r1_tarski (esk7_3 X1 X2 X3) X3False)m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(m1_eqrel_1 (esk6_3 X1 X2 X3) X1False)(r1_tarski (esk7_3 X1 X2 X3) X3False)m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(r2_hidden (esk6_3 X1 X2 X3) X2False)(esk7_3 X1 X2 X3) = X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_bvfunc_2 X1 X2 X3False)(m1_eqrel_1 (esk6_3 X1 X2 X3) X1False)(esk7_3 X1 X2 X3) = X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk17_3 X1 X2 X3) X3False)(r2_hidden (esk17_3 X1 X2 X3) X1False)False)(∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2)False)(r2_hidden (esk17_3 X1 X2 X3) X3False)(r2_hidden (esk17_3 X1 X2 X3) X2False)False)(∀X1 X4 X3 X2, (v1_xboole_0 X2False)(r1_partit1 X2 X1 X4False)m1_eqrel_1 X1 X2r2_hidden X1 X3r1_bvfunc_2 X2 X3 X4m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(r1_tarski (esk4_3 X1 X2 X3) X2False)m1_eqrel_1 X2 X1r1_partit1 X1 X2 X3False)(∀X3 X1 X2, ((k3_tarski (esk4_3 X2 X3 X1)) = X1False)(v1_xboole_0 X2False)m1_eqrel_1 X3 X2r1_partit1 X2 X3 X1False)(∀X1 X2, ((esk12_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))r1_xboole_0 (esk12_2 X1 X2) (esk13_2 X1 X2)False)(∀X1 X3 X4 X2, (X2 = k1_xboole_0False)(v1_xboole_0 X1False)(r2_hidden X3 X4False)X4 = (k3_bvfunc_2 X1 X2)m1_eqrel_1 X4 X1r1_bvfunc_2 X1 X2 X3m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X3 X2 X1 X4, (X1 = X4False)(r1_xboole_0 X4 X1False)m1_eqrel_1 X3 X2r2_hidden X4 X3r2_hidden X1 X3m1_subset_1 X4 (k1_zfmisc_1 X2)m1_subset_1 X1 (k1_zfmisc_1 X2)m1_subset_1 X3 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X3 X1, (v1_xboole_0 X1False)(esk4_3 X1 X2 X3) = k1_xboole_0m1_eqrel_1 X2 X1r1_partit1 X1 X2 X3False)(∀X3 X2 X1 X4, (X4 = k1_xboole_0False)(v1_xboole_0 X3False)(r1_bvfunc_2 X3 X4 X1False)X2 = (k3_bvfunc_2 X3 X4)m1_eqrel_1 X2 X3r2_hidden X1 X2m1_subset_1 X4 (k1_zfmisc_1 (k1_bvfunc_2 X3))False)(∀X3 X2 X1, (r2_hidden (esk8_3 X1 X2 X3) X2False)r2_hidden X3 X1r1_setfam_1 X1 X2False)(∀X1 X3 X2, (r1_tarski X1 (esk8_3 X2 X3 X1)False)r2_hidden X1 X2r1_setfam_1 X2 X3False)(∀X3 X2 X1, (X2 = (k3_tarski X1)False)r2_hidden X3 X1r2_hidden (esk15_2 X1 X2) X3r2_hidden (esk15_2 X1 X2) X2False)(∀X1 X2 X3, (r2_hidden (esk14_3 X1 X2 X3) X1False)X2 = (k3_tarski X1)r2_hidden X3 X2False)(∀X2 X3 X1, (r2_hidden X1 (esk14_3 X2 X3 X1)False)X3 = (k3_tarski X2)r2_hidden X1 X3False)(∀X1 X2, ((esk12_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(m1_subset_1 (esk13_2 X1 X2) (k1_zfmisc_1 X1)False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, ((esk12_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(k5_setfam_1 X1 X2) = X1(esk13_2 X1 X2) = (esk12_2 X1 X2)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, ((esk12_2 X1 X2) = k1_xboole_0False)(m1_eqrel_1 X2 X1False)(r2_hidden (esk13_2 X1 X2) X2False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, (m1_eqrel_1 X2 X1False)(m1_subset_1 (esk12_2 X1 X2) (k1_zfmisc_1 X1)False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X3 X2 X1, X1 = k1_xboole_0m1_eqrel_1 X2 X3r2_hidden X1 X2m1_subset_1 X1 (k1_zfmisc_1 X3)m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X3))False)(∀X1 X2, (m1_eqrel_1 X2 X1False)(r2_hidden (esk12_2 X1 X2) X2False)(k5_setfam_1 X1 X2) = X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X4 X3 X2 X1, (X1 = k1_xboole_0False)(v1_xboole_0 X4False)(r1_partit1 X4 X2 X3False)X3 = (k3_tarski X1)m1_eqrel_1 X2 X4r1_tarski X1 X2False)(∀X1 X2, (X2 = (k3_tarski X1)False)(r2_hidden (esk15_2 X1 X2) X2False)(r2_hidden (esk15_2 X1 X2) (esk16_2 X1 X2)False)False)(∀X3 X1 X2, (X1 = (k10_eqrel_1 X2)False)(v1_xboole_0 X2False)X3 = k1_xboole_0X1 = (k3_bvfunc_2 X2 X3)m1_eqrel_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X3 X1 X2, (X1 = (k3_bvfunc_2 X2 X3)False)(v1_xboole_0 X2False)X3 = k1_xboole_0X1 = (k10_eqrel_1 X2)m1_eqrel_1 X1 X2m1_subset_1 X3 (k1_zfmisc_1 (k1_bvfunc_2 X2))False)(∀X1 X3 X2, (r1_setfam_1 X3 X2False)r2_hidden X1 X2r1_tarski (esk9_2 X3 X2) X1False)(∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k1_zfmisc_1 X2)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1, (v1_xboole_0 X1False)(m1_eqrel_1 (k3_bvfunc_2 X1 X2) X1False)m1_subset_1 X2 (k1_zfmisc_1 (k1_bvfunc_2 X1))False)(∀X1 X2, ((k5_setfam_1 X1 X2) = X1False)m1_eqrel_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 (k1_zfmisc_1 X1))False)(∀X1 X2, (X2 = (k3_tarski X1)False)(r2_hidden (esk15_2 X1 X2) X2False)(r2_hidden (esk16_2 X1 X2) X1False)False)(∀X2 X3 X1 X4, (r2_hidden X1 X4False)X4 = (k3_xboole_0 X2 X3)r2_hidden X1 X3r2_hidden X1 X2False)(∀X2 X1, (r1_tarski X1 X2False)r2_hidden (esk11_2 X1 X2) X2False)(∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1)False)m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)(∀X2 X1 X3, (m1_subset_1 X1 X3False)r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X2 X1 X4, (r2_hidden X1 X4False)X4 = (k3_tarski X3)r2_hidden X2 X3r2_hidden X1 X2False)(∀X2 X1, v1_xboole_0 X1v1_subset_1 X2 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1 X3, v1_xboole_0 X3r2_hidden X1 X2m1_subset_1 X2 (k1_zfmisc_1 X3)False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X2 X4)r2_hidden X1 X3False)(∀X3 X4 X1 X2, (r2_hidden X1 X2False)X3 = (k3_xboole_0 X4 X2)r2_hidden X1 X3False)(∀X1 X3 X2, (r2_hidden X3 X2False)r2_hidden X3 X1r1_tarski X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (v1_xboole_0 X1False)(v1_subset_1 X2 X1False)v1_xboole_0 X2m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 (k1_zfmisc_1 X2))False)m1_eqrel_1 X1 X2False)(∀X1 X2, (r1_tarski X1 X2False)(r2_hidden (esk11_2 X1 X2) X1False)False)(∀X1 X2, (r1_setfam_1 X1 X2False)(r2_hidden (esk9_2 X1 X2) X1False)False)(∀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, (v1_xboole_0 X2False)v1_xboole_0 X1m1_subset_1 X2 (k1_zfmisc_1 X1)False)(∀X2 X1, (r1_tarski X1 (k3_tarski X2)False)r2_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, (r1_xboole_0 X2 X1False)r1_xboole_0 X1 X2False)(∀X2 X1, (m1_subset_1 X1 X2False)r2_hidden X1 X2False)(∀X1 X2, (r1_xboole_0 X1 X2False)(k3_xboole_0 X1 X2) = k1_xboole_0False)(∀X2 X1, ((k3_xboole_0 X1 X2) = k1_xboole_0False)r1_xboole_0 X1 X2False)(∀X2 X1, (v1_xboole_0 X1False)v1_xboole_0 X2m1_eqrel_1 X2 X1False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1 X2, v1_xboole_0 X2r2_hidden X1 X2False)(∀X2 X1, (v1_setfam_1 X1False)m1_eqrel_1 X1 X2False)(∀X1, (v1_xboole_0 X1False)(v1_subset_1 (esk29_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk28_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)(m1_eqrel_1 (esk23_1 X1) X1False)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk28_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk23_1 X1)False)(∀X1, (v1_xboole_0 X1False)v1_xboole_0 (esk21_1 X1)False)(∀X2 X1, (X1 = X2False)v1_xboole_0 X2v1_xboole_0 X1False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk28_1 X1)False)False)(∀X1, (v1_xboole_0 X1False)(v1_setfam_1 (esk23_1 X1)False)False)(∀X1, (v2_card_3 X1False)v1_xboole_0 X1False)(∀X1, (X1 = k1_xboole_0False)v1_xboole_0 X1False)(r1_setfam_1 esk3_0 (k3_bvfunc_2 esk1_0 esk2_0)False)(∀X1, v1_subset_1 (esk27_1 X1) X1False)(∀X1, v1_xboole_0 (esk26_1 X1)False)(∀X1, v1_xboole_0 (k1_zfmisc_1 X1)False)(∀X1, v1_xboole_0 (k1_bvfunc_2 X1)False)(v1_xboole_0 esk25_0False)(v1_xboole_0 esk1_0False)(∀X1, (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(∀X1, (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(∀X1, (m1_subset_1 (k1_bvfunc_2 X1) (k1_zfmisc_1 (k1_zfmisc_1 (k1_zfmisc_1 X1)))False)False)(∀X1, (m1_subset_1 (k1_zfmisc_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1))False)False)(∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1)False)False)(∀X1, (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1)False)False)(∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1)False)False)((m1_subset_1 esk2_0 (k1_zfmisc_1 (k1_bvfunc_2 esk1_0))False)False)(∀X1, (v1_eqrel_1 (esk26_1 X1) X1False)False)(∀X1, (v1_eqrel_1 (esk20_1 X1) X1False)False)(∀X1, (v1_eqrel_1 (k1_bvfunc_2 X1) X1False)False)(∀X1, (m1_eqrel_1 (esk18_1 X1) X1False)False)(∀X1, (m1_eqrel_1 (k10_eqrel_1 X1) X1False)False)(∀X1, (m1_subset_1 (esk19_1 X1) X1False)False)(∀X1, (m1_subset_1 (o_1_0_bvfunc_2 X1) X1False)False)(∀X1, ((k3_xboole_0 X1 X1) = X1False)False)(∀X1, (r1_tarski X1 X1False)False)(∀X1, (r1_setfam_1 X1 X1False)False)(∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0False)False)((r2_hidden esk3_0 esk2_0False)False)((m1_eqrel_1 esk3_0 esk1_0False)False)(∀X1, (v1_xboole_0 (esk24_1 X1)False)False)((v1_xboole_0 esk22_0False)False)((v1_xboole_0 o_0_0_xboole_0False)False)((v1_xboole_0 k1_xboole_0False)False)((o_0_0_xboole_0 = k1_xboole_0False)False)False
Proof:
The rest of the proof is missing.