Theorem. (l1_euler_1)
∀k3_xcmplx_0 : set → set → set, ∀k6_numbers : set, ∀esk4_2 : set → set → set, ∀k7_xcmplx_0 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀k6_xcmplx_0 : set → set → set, ∀r1_tarski : set → set → prop, ∀v1_int_1 : set → prop, ∀v1_finset_1 : set → prop, ∀v3_finseq_1 : set → prop, ∀v3_ordinal1 : set → prop, ∀esk26_1 : set → set, ∀esk34_1 : set → set, ∀esk33_1 : set → set, ∀esk14_1 : set → set, ∀np__1 : set, ∀k4_ordinal1 : set, ∀k1_xboole_0 : set, ∀k1_int_1 : set → set, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v4_funct_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk23_1 : set → set, ∀esk37_0 : set, ∀esk22_0 : set, ∀esk16_0 : set, ∀esk6_0 : set, ∀esk3_1 : set → set, ∀v2_card_1 : set → prop, ∀esk20_0 : set, ∀esk24_0 : set, ∀esk12_0 : set, ∀esk13_0 : set, ∀esk15_0 : set, ∀esk27_0 : set, ∀o_0_0_xboole_0 : set, ∀esk5_0 : set, ∀esk9_0 : set, ∀esk11_0 : set, ∀esk25_0 : set, ∀esk30_0 : set, ∀esk29_0 : set, ∀esk19_0 : set, ∀esk7_0 : set, ∀esk18_1 : set → set, ∀esk8_0 : set, ∀esk17_0 : set, ∀esk32_0 : set, ∀esk38_0 : set, ∀esk21_0 : set, ∀np__0 : set, ∀esk2_0 : set, ∀esk1_0 : set, ∀esk31_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀esk10_1 : set → set, ∀esk28_1 : set → set, ∀esk35_1 : set → set, ∀esk36_1 : set → set, ∀v1_finseq_1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v6_ordinal1 : set → prop, ∀v5_finset_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀k4_xcmplx_0 : set → set, ∀v2_xxreal_0 : set → prop, ∀k1_numbers : set, ∀k4_nat_1 : set → set → set, ∀k5_numbers : set, ∀v7_ordinal1 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, (∀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) → (∀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) → (∀X2 X1 X3, (r1_xxreal_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3) → False) → v1_xreal_0 X3 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → r1_xxreal_0 k6_numbers X3 → 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 (esk4_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 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, ((k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) = (k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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 (k3_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) → (∀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 → 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 → 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 (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) → (∀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, (r1_xxreal_0 X2 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2) → 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) → (∀X1 X2, (r1_xxreal_0 (k4_xcmplx_0 X2) (k4_xcmplx_0 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 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) → (∀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) → (∀X2 X1, (X1 = k6_numbers → False) → ((k3_xcmplx_0 (k7_xcmplx_0 X2 X1) X1) = X2 → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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, ((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) → (∀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, (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, ((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, (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 (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 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) → (∀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) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 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) → (∀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, (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) → (∀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, (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, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 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, (v1_finset_1 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk36_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk34_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk35_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk33_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk14_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk10_1 X1) (k1_zfmisc_1 X1) → False) → 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 → 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, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_card_1 (esk31_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, v3_xxreal_0 X1 → m1_subset_1 X1 k5_numbers → False) → (∀X1, v1_xboole_0 X1 → v3_card_1 X1 np__1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk28_1 X1) X1 → False) → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v3_card_1 X1 np__1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v7_ordinal1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 X1 np__1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 (esk35_1 X1) np__1 → False) → False) → (∀X1, (v2_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 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, ((k1_int_1 (k1_int_1 X1)) = (k1_int_1 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v3_xxreal_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v3_xxreal_0 X1 → v1_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v3_xxreal_0 X1 → v1_xxreal_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (esk26_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k1_zfmisc_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk36_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk34_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk33_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk14_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk10_1 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, ((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, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_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, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → v1_finset_1 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_int_1 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_int_1 (k4_xcmplx_0 X1) → False) → v1_int_1 X1 → False) → (∀X1, (v1_int_1 (k1_int_1 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk36_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk14_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk33_1 X1) → False) → False) → (∀X1, v7_ordinal1 X1 → v3_xxreal_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v3_finseq_1 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v1_int_1 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_finseq_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_int_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_xxreal_0 (k6_xcmplx_0 esk2_0 (k3_xcmplx_0 (k1_int_1 (k7_xcmplx_0 esk2_0 esk1_0)) esk1_0)) esk1_0 → False) → (∀X1, v1_subset_1 (esk23_1 X1) X1 → False) → (r1_xxreal_0 np__0 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__1 (k4_xcmplx_0 np__1) → False) → (r1_xxreal_0 np__1 np__0 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_finset_1 esk21_0 → False) → (v1_finset_1 k4_ordinal1 → False) → (v1_xboole_0 esk38_0 → False) → (v1_xboole_0 esk37_0 → False) → (v1_xboole_0 esk32_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 esk16_0 → False) → (v1_xboole_0 esk8_0 → False) → (v1_xboole_0 esk6_0 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__1 → False) → (esk1_0 = k6_numbers → False) → ((r1_xxreal_0 (k7_xcmplx_0 esk2_0 esk1_0) (k2_xcmplx_0 (k1_int_1 (k7_xcmplx_0 esk2_0 esk1_0)) np__1) → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (∀X1, (m1_subset_1 (esk3_1 X1) X1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) np__0 → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) np__1 → False) → False) → ((m1_subset_1 esk16_0 (k1_zfmisc_1 k1_numbers) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = np__0 → False) → False) → (((k6_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → (((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__0 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1) → False) → False) → ((m1_subset_1 esk22_0 k5_numbers → False) → False) → ((m1_subset_1 esk7_0 k1_numbers → False) → False) → ((m1_subset_1 np__0 k5_numbers → False) → False) → ((m1_subset_1 np__0 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((r1_xxreal_0 np__0 np__0 → False) → False) → ((r1_xxreal_0 np__0 np__1 → False) → False) → ((r1_xxreal_0 np__1 np__1 → False) → False) → (((k6_xcmplx_0 np__1 np__0) = np__1 → False) → False) → (((k6_xcmplx_0 np__1 np__1) = np__0 → False) → False) → (((k3_xcmplx_0 np__0 np__0) = np__0 → False) → False) → (((k3_xcmplx_0 np__0 np__1) = np__0 → False) → False) → (((k3_xcmplx_0 np__1 np__0) = np__0 → False) → False) → (((k3_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k2_xcmplx_0 np__0 np__0) = np__0 → False) → False) → (((k2_xcmplx_0 np__0 np__1) = np__1 → False) → False) → (((k2_xcmplx_0 np__1 np__0) = np__1 → False) → False) → (((k7_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (∀X1, (v1_xboole_0 (esk18_1 X1) → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → ((v2_card_1 k4_ordinal1 → False) → False) → ((v5_finset_1 esk38_0 → False) → False) → ((v2_xxreal_0 esk20_0 → False) → False) → ((v2_xxreal_0 esk19_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xcmplx_0 esk29_0 → False) → False) → ((v1_xcmplx_0 esk24_0 → False) → False) → ((v1_xcmplx_0 esk22_0 → False) → False) → ((v1_xcmplx_0 esk19_0 → False) → False) → ((v1_xcmplx_0 esk8_0 → False) → False) → ((v1_xcmplx_0 esk7_0 → False) → False) → ((v1_xxreal_0 esk30_0 → False) → False) → ((v1_xxreal_0 esk29_0 → False) → False) → ((v1_xxreal_0 esk25_0 → False) → False) → ((v1_xxreal_0 esk24_0 → False) → False) → ((v1_xxreal_0 esk22_0 → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk19_0 → False) → False) → ((v1_xxreal_0 esk12_0 → False) → False) → ((v1_xxreal_0 esk8_0 → False) → False) → ((v1_xxreal_0 esk7_0 → False) → False) → ((v3_xxreal_0 esk25_0 → False) → False) → ((v3_xxreal_0 esk24_0 → False) → False) → ((v1_xreal_0 esk29_0 → False) → False) → ((v1_xreal_0 esk24_0 → False) → False) → ((v1_xreal_0 esk22_0 → False) → False) → ((v1_xreal_0 esk19_0 → False) → False) → ((v1_xreal_0 esk11_0 → False) → False) → ((v1_xreal_0 esk8_0 → False) → False) → ((v1_xreal_0 esk7_0 → False) → False) → ((v2_ordinal1 esk22_0 → False) → False) → ((v2_ordinal1 esk17_0 → False) → False) → ((v2_ordinal1 esk13_0 → False) → False) → ((v2_ordinal1 esk8_0 → False) → False) → ((v1_ordinal1 esk22_0 → False) → False) → ((v1_ordinal1 esk17_0 → False) → False) → ((v1_ordinal1 esk13_0 → False) → False) → ((v1_ordinal1 esk8_0 → False) → False) → ((v1_finset_1 esk38_0 → False) → False) → ((v1_finset_1 esk22_0 → False) → False) → ((v1_finset_1 esk13_0 → False) → False) → ((v1_finset_1 esk8_0 → False) → False) → ((v1_finset_1 esk6_0 → False) → False) → ((v3_ordinal1 esk22_0 → False) → False) → ((v3_ordinal1 esk17_0 → False) → False) → ((v3_ordinal1 esk16_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 esk9_0 → False) → False) → ((v3_ordinal1 esk8_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((v1_card_1 esk22_0 → False) → False) → ((v1_card_1 esk13_0 → False) → False) → ((v1_card_1 esk8_0 → False) → False) → ((v1_card_1 esk5_0 → False) → False) → ((v1_card_1 k4_ordinal1 → False) → False) → ((v3_finseq_1 esk37_0 → False) → False) → ((v1_xboole_0 esk30_0 → False) → False) → ((v1_xboole_0 esk29_0 → False) → False) → ((v1_xboole_0 np__0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_int_1 esk15_0 → False) → False) → ((v1_int_1 esk7_0 → False) → False) → ((v1_int_1 esk2_0 → False) → False) → ((v7_ordinal1 esk32_0 → False) → False) → ((v7_ordinal1 esk27_0 → False) → False) → ((v7_ordinal1 esk22_0 → False) → False) → ((v7_ordinal1 esk8_0 → False) → False) → ((v7_ordinal1 esk1_0 → False) → False) → (((k4_xcmplx_0 np__0) = np__0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → ((k6_numbers = k1_xboole_0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → False
In Proofgold the corresponding term root is c0b902... and proposition id is 9ce6ff...
Proof:
The rest of the proof is missing.