Theorem. (
t17_fintopo3)
∀k9_fin_topo : set → set → set, ∀esk6_3 : set → set → set → set, ∀esk5_3 : set → set → set → set, ∀v1_funct_1 : set → prop, ∀v1_funct_2 : set → set → set → prop, ∀k2_zfmisc_1 : set → set → set, ∀v7_ordinal1 : set → prop, ∀k3_fintopo3 : set → set → set → set, ∀v5_relat_1 : set → set → prop, ∀esk10_2 : set → set → set, ∀v1_relat_1 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀r2_hidden : set → set → prop, ∀v7_struct_0 : set → prop, ∀esk15_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk14_1 : set → set, ∀v13_struct_0 : set → set → prop, ∀esk24_1 : set → set, ∀esk13_1 : set → set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk4_0 : set, ∀esk3_0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk16_0 : set, ∀esk12_2 : set → set → set, ∀esk18_1 : set → set, ∀v2_xxreal_0 : set → prop, ∀esk20_0 : set, ∀esk7_0 : set, ∀esk8_0 : set, ∀esk11_0 : set, ∀o_0_0_xboole_0 : set, ∀esk9_1 : set → set, ∀esk17_1 : set → set, ∀esk23_0 : set, ∀esk19_1 : set → set, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀esk22_1 : set → set, ∀esk25_1 : set → set, ∀k1_xboole_0 : set, ∀v3_ordinal1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀r1_tarski : set → set → prop, ∀esk21_1 : set → set, ∀v1_subset_1 : set → set → prop, ∀v4_relat_1 : set → set → prop, ∀k2_xboole_0 : set → set → set, ∀k1_funct_1 : set → set → set, ∀v1_xboole_0 : set → prop, ∀v2_struct_0 : set → prop, ∀l1_orders_2 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k1_numbers : set, ∀m1_subset_1 : set → set → prop, ∀k2_nat_1 : set → set → set, ∀esk26_3 : set → set → set → set, ∀np__1 : set, ∀k6_numbers : set, ∀k3_funct_2 : set → set → set → set → set, ∀u1_struct_0 : set → set, ∀k1_zfmisc_1 : set → set, ∀k2_fintopo3 : set → set → set, ∀k4_subset_1 : set → set → set → set, ∀k5_numbers : set, (∀X2 X3 X4 X1, ((k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) X4) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) X4)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) X4) → False) → (v2_struct_0 X1 → False) → (k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) k6_numbers) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) k6_numbers)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) k6_numbers) → (k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) (k2_nat_1 (esk26_3 X1 X2 X3) np__1)) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) (k2_nat_1 (esk26_3 X1 X2 X3) np__1))) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) (k2_nat_1 (esk26_3 X1 X2 X3) np__1)) → l1_orders_2 X1 → m2_subset_1 X4 k1_numbers k5_numbers → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X3 X2 X1, ((k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) X4) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) X4)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) X4) → False) → ((k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) (esk26_3 X1 X2 X3)) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) (esk26_3 X1 X2 X3))) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) (esk26_3 X1 X2 X3)) → False) → (v2_struct_0 X1 → False) → (k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) k6_numbers) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) k6_numbers)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) k6_numbers) → l1_orders_2 X1 → m2_subset_1 X4 k1_numbers k5_numbers → 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, ((k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) X4) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) X4)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) X4) → False) → (v2_struct_0 X1 → False) → (m2_subset_1 (esk26_3 X1 X2 X3) k1_numbers k5_numbers → False) → (k4_subset_1 (u1_struct_0 X1) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X2) k6_numbers) (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 X3) k6_numbers)) = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) (k2_fintopo3 X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) k6_numbers) → l1_orders_2 X1 → m2_subset_1 X4 k1_numbers k5_numbers → 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 X1, (X2 = (k2_fintopo3 X1 X3) → False) → (v2_struct_0 X1 → False) → (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X2 k6_numbers) = X3 → (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X2 (k2_nat_1 (esk5_3 X1 X3 X2) np__1)) = (k9_fin_topo X1 (esk6_3 X1 X3 X2)) → l1_orders_2 X1 → v1_funct_1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → v1_funct_2 X2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)))) → False) → (∀X2 X3 X1, (X3 = (k2_fintopo3 X1 X2) → False) → ((k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X3 (esk5_3 X1 X2 X3)) = (esk6_3 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X3 k6_numbers) = X2 → l1_orders_2 X1 → v1_funct_1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → v1_funct_2 X3 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)))) → False) → (∀X5 X1 X4 X2 X3, ((k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X3)) X4 (k2_nat_1 X1 np__1)) = (k9_fin_topo X3 X2) → False) → (v2_struct_0 X3 → False) → X4 = (k2_fintopo3 X3 X5) → X2 = (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X3)) X4 X1) → l1_orders_2 X3 → v1_funct_1 X4 → m1_subset_1 X1 k5_numbers → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X3)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X3)) → v1_funct_2 X4 k5_numbers (k1_zfmisc_1 (u1_struct_0 X3)) → m1_subset_1 X4 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X3)))) → False) → (∀X2 X3 X1, (X3 = (k2_fintopo3 X1 X2) → False) → (v2_struct_0 X1 → False) → (m1_subset_1 (esk6_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X3 k6_numbers) = X2 → l1_orders_2 X1 → v1_funct_1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → v1_funct_2 X3 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)))) → False) → (∀X2 X3 X1, (X3 = (k2_fintopo3 X1 X2) → False) → (v2_struct_0 X1 → False) → (m1_subset_1 (esk5_3 X1 X2 X3) k5_numbers → False) → (k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X3 k6_numbers) = X2 → l1_orders_2 X1 → v1_funct_1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → v1_funct_2 X3 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)))) → False) → (∀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) → (∀X3 X2 X1, ((k3_funct_2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) X2 k6_numbers) = X3 → False) → (v2_struct_0 X1 → False) → X2 = (k2_fintopo3 X1 X3) → l1_orders_2 X1 → v1_funct_1 X2 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → v1_funct_2 X2 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 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) → (∀X3 X2 X1, ((k4_subset_1 (u1_struct_0 X1) (k9_fin_topo X1 X2) (k9_fin_topo X1 X3)) = (k9_fin_topo X1 (k4_subset_1 (u1_struct_0 X1) X2 X3)) → False) → (v2_struct_0 X1 → False) → l1_orders_2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k2_fintopo3 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)))) → False) → l1_orders_2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k3_fintopo3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → v7_ordinal1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (m1_subset_1 (k4_subset_1 X2 X1 X3) (k1_zfmisc_1 X2) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k4_subset_1 X2 X3 X1) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X3 X1, ((k1_funct_1 (k2_fintopo3 X1 X2) X3) = (k3_fintopo3 X1 X2 X3) → False) → (v2_struct_0 X1 → False) → l1_orders_2 X1 → v7_ordinal1 X3 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v1_funct_2 (k2_fintopo3 X1 X2) k5_numbers (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X3 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m1_subset_1 X3 X1 → False) → m2_subset_1 X3 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m1_subset_1 X1 X3 → False) → m2_subset_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 X2) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X3) = (k2_xboole_0 X1 X3) → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → 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) → (∀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) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk10_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (k9_fin_topo X1 X2) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_orders_2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, ((k4_subset_1 X2 X1 X1) = X1 → False) → m1_subset_1 X3 (k1_zfmisc_1 X2) → m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (v1_xboole_0 X2 → False) → (m2_subset_1 X1 X3 X2 → False) → m1_subset_1 X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X3 X2 X1, (v1_relat_1 X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 X2 X3)) → False) → (∀X2 X1, (m2_subset_1 (k2_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, (v5_relat_1 (k2_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v5_relat_1 X3 X2 → v5_relat_1 X1 X2 → False) → (∀X1 X2 X3, (v4_relat_1 (k2_xboole_0 X1 X3) X2 → False) → v1_relat_1 X3 → v1_relat_1 X1 → v4_relat_1 X3 X2 → v4_relat_1 X1 X2 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (v1_funct_1 (k2_fintopo3 X1 X2) → False) → l1_orders_2 X1 → 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) → (∀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 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_xboole_0 (k2_zfmisc_1 X1 X2) → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_nat_1 X2 X1) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → 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 (esk21_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) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 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) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, v2_struct_0 X1 → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → 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 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk13_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 (esk21_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 (esk22_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, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → 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 (esk25_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk13_1 X1) → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 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, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 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 (esk24_1 X1) → False) → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_orders_2 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k4_subset_1 (u1_struct_0 esk1_0) (k3_fintopo3 esk1_0 esk2_0 esk4_0) (k3_fintopo3 esk1_0 esk3_0 esk4_0)) = (k3_fintopo3 esk1_0 (k4_subset_1 (u1_struct_0 esk1_0) esk2_0 esk3_0) esk4_0) → False) → (∀X1, v1_subset_1 (esk19_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk1_0 → False) → (∀X2 X1, (m1_subset_1 (esk12_2 X1 X2) (k1_zfmisc_1 (k2_zfmisc_1 X1 X2)) → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X2 X1, (v5_relat_1 (esk12_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_relat_1 (esk12_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_xboole_0 (esk12_2 X1 X2) → False) → False) → (∀X1 X2, (v1_relat_1 (esk12_2 X1 X2) → False) → False) → (∀X2 X1, ((k2_xboole_0 X1 X2) = (k2_xboole_0 X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 X1) → 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, (v5_relat_1 (esk18_1 X1) X1 → False) → False) → (∀X1, (m1_subset_1 (esk9_1 X1) X1 → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, ((k2_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k2_xboole_0 X1 k1_xboole_0) = X1 → False) → False) → ((m1_subset_1 esk4_0 k5_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → (∀X1, (v1_funct_1 (esk18_1 X1) → False) → False) → (∀X1, (v5_ordinal1 (esk18_1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk17_1 X1) → False) → False) → (∀X1, (v1_relat_1 (esk18_1 X1) → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v7_ordinal1 esk23_0 → False) → False) → ((v7_ordinal1 esk20_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v2_ordinal1 esk16_0 → False) → False) → ((v1_ordinal1 esk16_0 → False) → False) → ((v3_ordinal1 esk16_0 → False) → False) → ((v3_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((l1_struct_0 esk8_0 → False) → False) → ((l1_orders_2 esk7_0 → False) → False) → ((l1_orders_2 esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → ((k1_xboole_0 = k6_numbers → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False