Theorem. (
t52_tdlat_3)
∀v2_struct_0 : set → prop, ∀v6_tops_1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀a_1_9_tdlat_3 : set → set, ∀v1_xboole_0 : set → prop, ∀v3_pre_topc : set → set → prop, ∀esk5_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀esk25_1 : set → set, ∀esk17_1 : set → set, ∀esk22_1 : set → set, ∀esk9_1 : set → set, ∀esk18_1 : set → set, ∀r1_tarski : set → set → prop, ∀v13_struct_0 : set → set → prop, ∀np__1 : set, ∀k1_xboole_0 : set, ∀esk23_1 : set → set, ∀esk19_1 : set → set, ∀esk13_1 : set → set, ∀esk10_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀o_0_0_xboole_0 : set, ∀esk4_1 : set → set, ∀esk1_0 : set, ∀esk15_0 : set, ∀esk16_1 : set → set, ∀v6_pre_topc : set → prop, ∀v1_finset_1 : set → prop, ∀v8_struct_0 : set → prop, ∀esk8_1 : set → set, ∀esk20_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀esk21_1 : set → set, ∀esk11_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk12_1 : set → set, ∀v7_struct_0 : set → prop, ∀esk7_1 : set → set, ∀esk14_1 : set → set, ∀esk26_1 : set → set, ∀esk24_1 : set → set, ∀esk28_1 : set → set, ∀esk27_2 : set → set → set, ∀esk6_2 : set → set → set, ∀v4_tdlat_3 : set → prop, ∀a_1_10_tdlat_3 : set → set, ∀v5_tops_1 : set → set → prop, ∀v2_pre_topc : set → prop, ∀v4_pre_topc : set → set → prop, ∀u1_struct_0 : set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v2_tops_1 : set → set → prop, ∀l1_pre_topc : set → prop, ∀v3_tops_1 : set → set → prop, (∀X2 X1, (v3_tops_1 X2 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v4_pre_topc X2 X1 → v2_tops_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_1_9_tdlat_3 X2) → False) → X1 = X3 → v2_pre_topc X2 → l1_pre_topc X2 → v6_tops_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_1_10_tdlat_3 X2) → False) → X1 = X3 → v2_pre_topc X2 → l1_pre_topc X2 → v5_tops_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v3_pre_topc X2 X1 → v3_tops_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v6_tops_1 X1 X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → v4_tdlat_3 X2 → v5_tops_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v5_tops_1 X1 X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → v4_tdlat_3 X2 → v6_tops_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk6_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X2)) → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_9_tdlat_3 X2) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk5_2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X2)) → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_10_tdlat_3 X2) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk27_2 X3 X2) → False) → (∀X2 X1, (v2_tops_1 X2 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v3_tops_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v6_tops_1 (esk6_2 X1 X2) X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_9_tdlat_3 X2) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (v5_tops_1 (esk5_2 X1 X2) X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_10_tdlat_3 X2) → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_tdlat_3 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v5_tops_1 (esk28_1 X1) X1 → v6_tops_1 (esk28_1 X1) X1 → False) → (∀X2 X1, (v3_tops_1 X2 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v4_pre_topc X2 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v3_pre_topc X2 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_tops_1 X2 X1 → False) → l1_pre_topc X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, ((esk6_2 X1 X2) = X1 → False) → (v2_struct_0 X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_9_tdlat_3 X2) → False) → (∀X1 X2, ((esk5_2 X1 X2) = X1 → False) → (v2_struct_0 X2 → False) → v2_pre_topc X2 → l1_pre_topc X2 → r2_hidden X1 (a_1_10_tdlat_3 X2) → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_tdlat_3 X1 → False) → (v5_tops_1 (esk28_1 X1) X1 → False) → (v6_tops_1 (esk28_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X2 X1, (r2_hidden (esk27_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_tdlat_3 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (m1_subset_1 (esk9_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (m1_subset_1 (esk7_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v2_struct_0 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v2_tops_1 (esk24_1 X1) X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk12_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1, (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_pre_topc X1 → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_pre_topc (esk25_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v4_pre_topc (esk17_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v3_pre_topc (esk17_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 (esk25_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → v1_xboole_0 (esk17_1 X1) → False) → (∀X1, (v3_tops_1 (esk26_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v4_pre_topc (esk22_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v4_pre_topc (esk14_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v3_pre_topc (esk14_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v3_pre_topc (esk9_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, (v3_pre_topc (esk7_1 X1) X1 → False) → v2_pre_topc X1 → l1_pre_topc X1 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 k1_xboole_0 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk8_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk12_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk18_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk11_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v2_tops_1 (esk21_1 X1) X1 → False) → l1_pre_topc X1 → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk19_1 X1) X1 → False) → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk11_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk23_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk20_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk8_1 X1) → False) → (∀X1, (v6_pre_topc X1 → False) → v2_struct_0 X1 → l1_pre_topc X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → v2_struct_0 X1 → l1_struct_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk20_1 X1) → False) → False) → (∀X1, (l1_struct_0 X1 → False) → l1_pre_topc X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, v1_subset_1 (esk16_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk15_0 → False) → (v1_xboole_0 np__1 → False) → (v4_tdlat_3 esk1_0 → False) → (v2_struct_0 esk1_0 → False) → (∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk4_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (v1_xboole_0 (esk13_1 X1) → False) → False) → ((v1_xboole_0 esk10_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_struct_0 esk3_0 → False) → False) → ((l1_pre_topc esk2_0 → False) → False) → ((l1_pre_topc esk1_0 → False) → False) → ((v2_pre_topc esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False