Theorem. (
t37_fintopo2)
∀v2_struct_0 : set → prop, ∀esk8_4 : set → set → set → set → set, ∀k6_fintopo2 : set → set → set, ∀l1_fintopo2 : set → prop, ∀u1_struct_0 : set → set, ∀r2_hidden : set → set → prop, ∀a_2_2_fintopo2 : set → set → set, ∀r1_xboole_0 : set → set → prop, ∀k4_xboole_0 : set → set → set, ∀esk3_3 : set → set → set → set, ∀a_2_3_fintopo2 : set → set → set, ∀esk10_3 : set → set → set → set, ∀esk9_3 : set → set → set → set, ∀esk24_3 : set → set → set → set, ∀r1_tarski : set → set → prop, ∀k3_subset_1 : set → set → set, ∀k9_subset_1 : set → set → set → set, ∀k7_subset_1 : set → set → set → set, ∀esk23_2 : set → set → set, ∀v4_relat_1 : set → set → prop, ∀v1_relat_1 : set → prop, ∀esk26_2 : set → set → set, ∀k3_xboole_0 : set → set → set, ∀v7_struct_0 : set → prop, ∀esk15_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk14_1 : set → set, ∀esk21_1 : set → set, ∀esk12_1 : set → set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀esk18_1 : set → set, ∀esk17_0 : set, ∀esk16_1 : set → set, ∀esk6_1 : set → set, ∀o_0_0_xboole_0 : set, ∀esk5_0 : set, ∀esk4_0 : set, ∀esk13_0 : set, ∀esk11_2 : set → set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk20_1 : set → set, ∀esk22_1 : set → set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀k1_xboole_0 : set, ∀v1_zfmisc_1 : set → prop, ∀esk19_1 : set → set, ∀v1_subset_1 : set → set → prop, ∀v5_relat_1 : set → set → prop, ∀k9_fintopo2 : set → set → set, ∀esk25_3 : set → set → set → set, ∀k10_fintopo2 : set → set → set, ∀u1_fintopo2 : set → set, ∀k1_funct_1 : set → set → set, ∀esk7_3 : set → set → set → set, ∀k3_funct_2 : set → set → set → set → set, ∀m1_subset_1 : set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀v1_funct_2 : set → set → set → prop, ∀v1_funct_1 : set → prop, ∀v1_xboole_0 : set → prop, (∀X2 X3 X4 X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (k3_funct_2 X1 X3 X2 X4) X3 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (a_2_2_fintopo2 X2 X3) → False) → (r2_hidden (esk8_4 X1 X2 X3 X4) (k6_fintopo2 X2 X4) → False) → X1 = X4 → l1_fintopo2 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (a_2_2_fintopo2 X2 X3) → False) → (m1_subset_1 (esk8_4 X1 X2 X3 X4) (k1_zfmisc_1 (u1_struct_0 X2)) → False) → X1 = X4 → l1_fintopo2 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X4 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (a_2_2_fintopo2 X2 X3) → False) → (r1_xboole_0 (esk8_4 X1 X2 X3 X4) X3 → False) → X1 = X4 → l1_fintopo2 X2 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X1 X4 X2, (v2_struct_0 X2 → False) → l1_fintopo2 X2 → r1_xboole_0 X1 X4 → r2_hidden X3 (a_2_2_fintopo2 X2 X4) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → r2_hidden X1 (k6_fintopo2 X2 (esk7_3 X3 X2 X4)) → False) → (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk3_3 X1 X2 X3) X2 → False) → r2_hidden (esk3_3 X1 X2 X3) X3 → r2_hidden (esk3_3 X1 X2 X3) X1 → False) → (∀X2 X3 X4 X1, ((k3_funct_2 X1 X3 X2 X4) = (k1_funct_1 X2 X4) → False) → (v1_xboole_0 X1 → False) → v1_funct_1 X2 → m1_subset_1 X4 X1 → v1_funct_2 X2 X1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (r2_hidden (esk10_3 X1 X2 X3) (k6_fintopo2 X2 (esk9_3 X1 X2 X3)) → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_3_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X1, ((k3_funct_2 (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) (u1_fintopo2 X1) X2) = (k6_fintopo2 X1 X2) → False) → (v2_struct_0 X1 → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk3_3 X1 X2 X3) X3 → False) → r2_hidden (esk3_3 X1 X2 X3) X2 → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r2_hidden (esk25_3 X1 X2 X3) (k6_fintopo2 X1 X2) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X2 (k10_fintopo2 X1 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk25_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X2 (k10_fintopo2 X1 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X4 X3 X2, (v2_struct_0 X2 → False) → l1_fintopo2 X2 → r1_xboole_0 X4 X3 → m1_subset_1 X1 (u1_struct_0 X2) → r2_hidden X4 (k6_fintopo2 X2 X1) → r2_hidden X1 (k9_fintopo2 X2 X3) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r2_hidden X2 (k9_fintopo2 X1 X3) → False) → (r2_hidden (esk24_3 X1 X2 X3) (k6_fintopo2 X1 X2) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1, (m1_subset_1 (u1_fintopo2 X1) (k1_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))))) → False) → l1_fintopo2 X1 → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (r1_tarski (esk25_3 X1 X2 X3) X3 → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X2 (k10_fintopo2 X1 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X5 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (a_2_3_fintopo2 X2 X5) → False) → X1 = X3 → l1_fintopo2 X2 → r1_tarski X4 X5 → m1_subset_1 X1 (u1_struct_0 X2) → r2_hidden X4 (k6_fintopo2 X2 X1) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r2_hidden X2 (k9_fintopo2 X1 X3) → False) → (m1_subset_1 (esk24_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X4 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X3 (k10_fintopo2 X2 X4) → False) → l1_fintopo2 X2 → r1_tarski X1 X4 → m1_subset_1 X3 (u1_struct_0 X2) → r2_hidden X1 (k6_fintopo2 X2 X3) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk10_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X2)) → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_3_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X2, (X3 = (k4_xboole_0 X1 X2) → False) → (r2_hidden (esk3_3 X1 X2 X3) X3 → False) → (r2_hidden (esk3_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r2_hidden X2 (k9_fintopo2 X1 X3) → False) → (r1_xboole_0 (esk24_3 X1 X2 X3) X3 → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk9_3 X1 X2 X3) (u1_struct_0 X2) → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_3_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (m1_subset_1 (esk7_3 X1 X2 X3) (u1_struct_0 X2) → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_2_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X2, (v2_struct_0 X2 → False) → (r1_tarski (esk10_3 X1 X2 X3) X3 → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_3_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X1 (k3_subset_1 X2 X3)) = (k7_subset_1 X2 X1 X3) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X3 X2, ((esk9_3 X1 X2 X3) = X1 → False) → (v2_struct_0 X2 → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_3_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X2, ((esk7_3 X1 X2 X3) = X1 → False) → (v2_struct_0 X2 → False) → l1_fintopo2 X2 → r2_hidden X1 (a_2_2_fintopo2 X2 X3) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X2 X1, (m1_subset_1 (k7_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, (m1_subset_1 (k9_subset_1 X2 X3 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X1 X3) = (k9_subset_1 X2 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, (X1 = X2 → False) → r2_hidden (esk23_2 X1 X2) X2 → r2_hidden (esk23_2 X1 X2) X1 → False) → (∀X3 X1 X2, (v5_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X3 X2)) → False) → (∀X3 X1 X2, (v4_relat_1 X1 X2 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k6_fintopo2 X1 X2) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X1 X3)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 X3 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k10_fintopo2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k9_fintopo2 X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_fintopo2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X1, (v1_funct_2 (u1_fintopo2 X1) (u1_struct_0 X1) (k1_zfmisc_1 (k1_zfmisc_1 (u1_struct_0 X1))) → False) → l1_fintopo2 X1 → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk26_2 X3 X2) → False) → (∀X3 X2 X1, ((k7_subset_1 X2 X1 X3) = (k4_xboole_0 X1 X3) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X1) = (k3_xboole_0 X3 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1, ((k10_fintopo2 X1 X2) = (a_2_3_fintopo2 X1 X2) → False) → (v2_struct_0 X1 → False) → l1_fintopo2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, ((k9_fintopo2 X1 X2) = (a_2_2_fintopo2 X1 X2) → False) → (v2_struct_0 X1 → False) → l1_fintopo2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, ((k9_subset_1 X2 X3 X3) = X3 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2, (X1 = X2 → False) → (r2_hidden (esk23_2 X1 X2) X2 → False) → (r2_hidden (esk23_2 X1 X2) X1 → False) → False) → (∀X2 X1, (m1_subset_1 (k3_subset_1 X2 X1) (k1_zfmisc_1 X2) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X1 X2 X3, (v5_relat_1 (k4_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v5_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v4_relat_1 (k4_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v4_relat_1 (k3_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X1 X2 → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → (r2_hidden X1 X3 → False) → X4 = (k4_xboole_0 X2 X3) → r2_hidden X1 X2 → False) → (∀X2 X1, ((k3_subset_1 X2 (k3_subset_1 X2 X1)) = X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X4 X3 X2 X1, X3 = (k4_xboole_0 X4 X2) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r2_hidden (esk26_2 X1 X2) X2 → False) → r2_hidden X1 X2 → 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) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k4_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X2 X1, ((k3_subset_1 X2 X1) = (k4_xboole_0 X2 X1) → False) → m1_subset_1 X1 (k1_zfmisc_1 X2) → 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 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk14_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) → (∀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) → (∀X2 X1, (r1_xboole_0 X2 X1 → False) → r1_xboole_0 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (k4_xboole_0 X1 X2) = k1_xboole_0 → False) → (∀X1 X2, (r1_xboole_0 X1 X2 → False) → (k3_xboole_0 X1 X2) = k1_xboole_0 → False) → (∀X2 X1, ((k4_xboole_0 X1 X2) = k1_xboole_0 → False) → r1_tarski X1 X2 → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = k1_xboole_0 → False) → r1_xboole_0 X1 X2 → 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 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk21_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 (esk12_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 (esk15_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 (esk19_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk14_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 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 (esk20_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 (esk14_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk22_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk21_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk12_1 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) → (∀X1, (v1_funct_1 (u1_fintopo2 X1) → False) → l1_fintopo2 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 (esk21_1 X1) → False) → False) → (∀X1, (l1_struct_0 X1 → False) → l1_fintopo2 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k3_subset_1 (u1_struct_0 esk1_0) (k9_fintopo2 esk1_0 (k3_subset_1 (u1_struct_0 esk1_0) esk2_0))) = (k10_fintopo2 esk1_0 esk2_0) → False) → (∀X1, v1_subset_1 (esk18_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk1_0 → False) → (∀X2 X1, (m1_subset_1 (esk11_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → (∀X2 X1, (v5_relat_1 (esk11_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk11_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 (esk11_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk11_2 X1 X2) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk6_1 X1) X1 → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k4_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → (∀X1, ((k4_xboole_0 k1_xboole_0 X1) = k1_xboole_0 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → (∀X1, (v1_xboole_0 (esk16_1 X1) → False) → False) → ((v1_xboole_0 esk13_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((l1_struct_0 esk5_0 → False) → False) → ((l1_fintopo2 esk4_0 → False) → False) → ((l1_fintopo2 esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False