Theorem. (
t38_irrat_1)
∀k3_xcmplx_0 : set → set → set, ∀esk5_2 : set → set → set, ∀k1_nat_1 : set → set → set, ∀k7_xcmplx_0 : set → set → set, ∀k5_xcmplx_0 : set → set, ∀v3_xxreal_0 : set → prop, ∀k6_xcmplx_0 : set → set → set, ∀r2_hidden : set → set → prop, ∀k2_numbers : set, ∀v1_int_1 : set → prop, ∀v5_membered : set → prop, ∀v3_membered : set → prop, ∀v1_membered : set → prop, ∀v6_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀v1_finseq_1 : set → prop, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v5_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀np__2 : set, ∀np__0 : set, ∀esk25_0 : set, ∀esk16_0 : set, ∀esk14_0 : set, ∀esk7_0 : set, ∀esk6_0 : set, ∀esk18_0 : set, ∀esk21_0 : set, ∀esk8_0 : set, ∀esk24_0 : set, ∀esk9_0 : set, ∀esk22_0 : set, ∀esk11_0 : set, ∀esk10_0 : set, ∀esk12_0 : set, ∀esk23_0 : set, ∀esk20_0 : set, ∀esk17_0 : set, ∀esk4_1 : set → set, ∀esk13_0 : set, ∀esk15_0 : set, ∀esk19_0 : set, ∀esk26_0 : set, ∀v1_finset_1 : set → prop, ∀esk1_0 : set, ∀esk2_0 : set, ∀esk3_0 : set, ∀v7_membered : set → prop, ∀v4_funct_1 : set → prop, ∀k4_ordinal1 : set, ∀v1_rat_1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀v3_finseq_1 : set → prop, ∀v6_membered : set → prop, ∀v2_membered : set → prop, ∀v4_membered : set → prop, ∀k1_newton : set → set → set, ∀r1_tarski : set → set → prop, ∀k4_xcmplx_0 : set → set, ∀v2_xxreal_0 : set → prop, ∀k3_newton : set → set, ∀k8_real_1 : set → set → set, ∀k4_nat_1 : set → set → set, ∀v7_ordinal1 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀k6_numbers : set, ∀esk27_2 : set → set → set, ∀k1_numbers : set, ∀k5_numbers : set, ∀m2_subset_1 : set → set → set → prop, ∀np__1 : set, ∀k2_nat_1 : set → set → set, ∀k3_power : set → set → set, ∀k9_newton : set → set, ∀k13_complex1 : set → set → set, ∀r1_xxreal_0 : set → set → prop, (∀X3 X1 X2, (r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 X3) np__1))) (k3_power X2 (k2_nat_1 X3 np__1)) → False) → v1_xreal_0 X2 → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X1 k1_numbers k5_numbers → r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 k6_numbers) np__1))) (k3_power X2 (k2_nat_1 k6_numbers np__1)) → r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 (k2_nat_1 (esk27_2 X1 X2) np__1)) np__1))) (k3_power X2 (k2_nat_1 (k2_nat_1 (esk27_2 X1 X2) np__1) np__1)) → False) → (∀X3 X2 X1, (r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 X3) np__1))) (k3_power X2 (k2_nat_1 X3 np__1)) → False) → (r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 (esk27_2 X1 X2)) np__1))) (k3_power X2 (k2_nat_1 (esk27_2 X1 X2) np__1)) → False) → v1_xreal_0 X2 → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X1 k1_numbers k5_numbers → r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 k6_numbers) np__1))) (k3_power X2 (k2_nat_1 k6_numbers np__1)) → False) → (∀X3 X2 X1, (m2_subset_1 (esk27_2 X1 X2) k1_numbers k5_numbers → False) → (r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 X3) np__1))) (k3_power X2 (k2_nat_1 X3 np__1)) → False) → v1_xreal_0 X2 → m2_subset_1 X3 k1_numbers k5_numbers → m2_subset_1 X1 k1_numbers k5_numbers → r1_xxreal_0 (k13_complex1 (k9_newton X1) (k9_newton (k2_nat_1 (k2_nat_1 X1 k6_numbers) np__1))) (k3_power X2 (k2_nat_1 k6_numbers np__1)) → False) → (∀X3 X1 X2 X4, (r1_xxreal_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X4) → False) → v1_xreal_0 X4 → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X3 X4 → r1_xxreal_0 X1 X2 → r1_xxreal_0 k6_numbers X3 → r1_xxreal_0 k6_numbers 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, ((k3_xcmplx_0 (k3_power X1 X2) (k3_power X1 X3)) = (k3_power X1 (k2_xcmplx_0 X2 X3)) → False) → (r1_xxreal_0 X1 k6_numbers → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1 X3, (r1_xxreal_0 X1 X3 → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 (k2_xcmplx_0 X1 X2) (k2_xcmplx_0 X3 X2) → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk5_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → 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) → (∀X2 X1 X3, (r1_xxreal_0 (k2_xcmplx_0 X1 X3) (k2_xcmplx_0 X2 X3) → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (m2_subset_1 (k4_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, (m2_subset_1 (k1_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → 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, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1, ((k8_real_1 (k3_newton X1) (k1_nat_1 X1 np__1)) = (k3_newton (k1_nat_1 X1 np__1)) → False) → v7_ordinal1 X1 → False) → (∀X2 X1, (r1_xxreal_0 X1 k6_numbers → False) → (r1_xxreal_0 (k5_xcmplx_0 X2) (k5_xcmplx_0 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X2 X1) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X2 X1, ((k3_xcmplx_0 (k5_xcmplx_0 X1) (k5_xcmplx_0 X2)) = (k5_xcmplx_0 (k3_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 (k5_xcmplx_0 X1) (k5_xcmplx_0 X2)) = (k5_xcmplx_0 (k3_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_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, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X2 X1) → False) → (∀X2 X1, (m1_subset_1 (k8_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X1, (m2_subset_1 (k9_newton X1) k1_numbers k5_numbers → False) → v7_ordinal1 X1 → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k8_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k8_real_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k4_nat_1 X1 X2) = (k4_nat_1 X2 X1) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, ((k4_nat_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k1_nat_1 X2 X1) → False) → v7_ordinal1 X1 → m1_subset_1 X2 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) → (∀X2 X1, ((k7_xcmplx_0 (k5_xcmplx_0 X1) (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (m1_subset_1 (k13_complex1 X1 X2) k2_numbers → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 (k5_xcmplx_0 X2)) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_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) → (∀X2 X1, (v7_ordinal1 (k1_newton X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v1_int_1 (k6_xcmplx_0 X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X2 X1, (v1_int_1 (k3_xcmplx_0 X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X2 X1, (v1_int_1 (k2_xcmplx_0 X1 X2) → False) → v1_int_1 X2 → v1_int_1 X1 → False) → (∀X1 X2, (v1_xcmplx_0 (k1_newton X1 X2) → False) → v1_xcmplx_0 X1 → v7_ordinal1 X2 → False) → (∀X1 X2, (v1_xreal_0 (k1_newton X1 X2) → False) → v1_xreal_0 X1 → v7_ordinal1 X2 → False) → (∀X2 X1, (v1_xreal_0 (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k3_power X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v5_membered X2 → False) → v5_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v4_membered X2 → False) → v4_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_membered X2 → False) → v3_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_membered X2 → False) → v2_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_membered X2 → False) → v1_membered X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v6_membered X2 → False) → v6_membered 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) → (∀X1 X2, (v3_finseq_1 X2 → False) → v3_finseq_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (X1 = k6_numbers → False) → (X2 = (k5_xcmplx_0 X1) → False) → (k3_xcmplx_0 X1 X2) = np__1 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → False) → (∀X1 X2, ((k1_newton X1 X2) = (k3_power X1 X2) → False) → v1_xreal_0 X1 → v7_ordinal1 X2 → False) → (∀X2 X1, ((k13_complex1 X1 X2) = (k7_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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) → (∀X1 X2, (X2 = k6_numbers → False) → ((k3_xcmplx_0 X2 X1) = np__1 → False) → X1 = (k5_xcmplx_0 X2) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v7_ordinal1 X2 → False) → v6_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_int_1 X2 → False) → v5_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_rat_1 X2 → False) → v4_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xxreal_0 X2 → False) → v2_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xcmplx_0 X2 → False) → v1_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_finseq_1 X2 → False) → v3_finseq_1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_xreal_0 X2 → False) → v3_membered X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v3_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k1_numbers) → False) → (∀X1, (v1_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k2_numbers) → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 (k1_zfmisc_1 k5_numbers) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k5_xcmplx_0 X1) → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k5_xcmplx_0 X1) → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, (X1 = k6_numbers → False) → X2 = k6_numbers → X1 = (k5_xcmplx_0 X2) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1, (m1_subset_1 (k3_newton X1) k1_numbers → False) → v7_ordinal1 X1 → False) → (∀X1, (v2_xxreal_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, (v3_xxreal_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v6_membered X1 → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (X1 = (k5_xcmplx_0 X2) → False) → X2 = k6_numbers → X1 = k6_numbers → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 np__1 X1) = (k5_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xcmplx_0 (k5_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v3_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v3_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v1_xboole_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_xxreal_0 X1 → False) → (v2_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k6_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_power X1 np__1) = X1 → False) → v1_xreal_0 X1 → False) → (∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k5_xcmplx_0 (