Theorem. (t29_metric_6)
∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, ∀v2_struct_0 : set → prop, ∀k6_numbers : set, ∀k1_numbers : set, ∀r1_tarski : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v8_metric_1 : set → prop, ∀v6_tbsp_1 : set → set → prop, ∀esk4_2 : set → set → set, ∀esk5_2 : set → set → set, ∀k4_metric_1 : set → set → set → set, ∀v6_metric_1 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀v1_xcmplx_0 : set → prop, ∀v1_xxreal_0 : set → prop, ∀esk22_1 : set → set, ∀v7_struct_0 : set → prop, ∀esk16_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk18_1 : set → set, ∀v3_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v5_ordinal1 : set → prop, ∀esk19_0 : set, ∀esk23_0 : set, ∀esk20_0 : set, ∀esk28_0 : set, ∀esk14_0 : set, ∀esk25_0 : set, ∀esk7_0 : set, ∀esk8_0 : set, ∀esk11_0 : set, ∀esk13_0 : set, ∀esk12_0 : set, ∀esk27_0 : set, ∀esk21_0 : set, ∀esk24_0 : set, ∀esk9_1 : set → set, ∀k5_numbers : set, ∀esk17_0 : set, ∀esk29_0 : set, ∀np__2 : set, ∀np__0 : set, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀v7_ordinal1 : set → prop, ∀v8_struct_0 : set → prop, ∀k1_xboole_0 : set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀v6_ordinal1 : set → prop, ∀esk15_1 : set → set, ∀esk26_1 : set → set, ∀k4_xcmplx_0 : set → set, ∀k6_xcmplx_0 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀k7_xcmplx_0 : set → set → set, ∀v3_xxreal_0 : set → prop, ∀esk6_2 : set → set → set, ∀v1_finset_1 : set → prop, ∀esk10_2 : set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀v1_xboole_0 : set → prop, ∀esk3_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀v1_xreal_0 : set → prop, ∀k9_metric_1 : set → set → set → set, ∀r2_hidden : set → set → prop, ∀l1_metric_1 : set → prop, ∀r1_xxreal_0 : set → set → prop, ∀esk31_1 : set → set, ∀k7_real_1 : set → set → set, ∀esk30_1 : set → set, ∀esk32_1 : set → set, ∀k2_metric_1 : set → set → set → set, ∀v9_metric_1 : set → prop, (∀X1, (v9_metric_1 X1 → False) → l1_metric_1 X1 → r1_xxreal_0 (k2_metric_1 X1 (esk30_1 X1) (esk32_1 X1)) (k7_real_1 (k2_metric_1 X1 (esk30_1 X1) (esk31_1 X1)) (k2_metric_1 X1 (esk31_1 X1) (esk32_1 X1))) → False) → (∀X2 X3 X4 X1, (r1_xxreal_0 (k2_metric_1 X1 X2 X4) (k7_real_1 (k2_metric_1 X1 X2 X3) (k2_metric_1 X1 X3 X4)) → False) → v9_metric_1 X1 → l1_metric_1 X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X3 X4 X2, l1_metric_1 X2 → v1_xreal_0 X1 → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (u1_struct_0 X2) → r1_xxreal_0 X1 (k2_metric_1 X2 X3 X4) → r2_hidden X4 (k9_metric_1 X2 X3 X1) → False) → (∀X4 X2 X1 X3, (v2_struct_0 X3 → False) → (v6_tbsp_1 X4 X3 → False) → (r1_xxreal_0 X1 k6_numbers → False) → v8_metric_1 X3 → v9_metric_1 X3 → l1_metric_1 X3 → m1_subset_1 X1 k1_numbers → m1_subset_1 X2 (u1_struct_0 X3) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X3)) → r1_tarski X4 (k9_metric_1 X3 X2 X1) → False) → (∀X3 X4 X2 X1, (v2_struct_0 X1 → False) → (r1_xxreal_0 X2 (k2_metric_1 X1 X3 X4) → False) → (r2_hidden X4 (k9_metric_1 X1 X3 X2) → False) → l1_metric_1 X1 → v1_xreal_0 X2 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (r1_tarski X1 (k9_metric_1 X2 (esk5_2 X2 X1) (esk4_2 X2 X1)) → False) → v8_metric_1 X2 → v9_metric_1 X2 → l1_metric_1 X2 → v6_tbsp_1 X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X3 X2 X4 X1, v2_struct_0 X1 → l1_metric_1 X1 → v1_xreal_0 X4 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_hidden X2 (k9_metric_1 X1 X3 X4) → False) → (∀X3 X2 X1, (r1_xxreal_0 k6_numbers (k4_metric_1 X1 X2 X3) → False) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1, (r1_xxreal_0 X1 k6_numbers → False) → m1_subset_1 X1 k1_numbers → r1_tarski esk2_0 (k9_metric_1 esk1_0 esk3_0 X1) → False) → (∀X3 X2 X1, (m1_subset_1 (k4_metric_1 X1 X2 X3) k1_numbers → False) → v8_metric_1 X1 → l1_metric_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (v2_struct_0 X1 → False) → (v6_tbsp_1 (k9_metric_1 X1 X2 X3) X1 → False) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v1_xreal_0 X3 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (m1_subset_1 (k2_metric_1 X1 X2 X3) k1_numbers → False) → l1_metric_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k4_metric_1 X1 X2 X3) = (k2_metric_1 X1 X2 X3) → False) → v8_metric_1 X1 → l1_metric_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, ((k4_metric_1 X1 X2 X3) = (k4_metric_1 X1 X3 X2) → False) → v8_metric_1 X1 → l1_metric_1 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X2 X1, (m1_subset_1 (k9_metric_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_metric_1 X1 → v1_xreal_0 X3 → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X4 X3 X2 X1, (r1_xxreal_0 X2 X1 → 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 (k2_xcmplx_0 X2 X4) (k2_xcmplx_0 X1 X3) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v6_tbsp_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → r1_xxreal_0 (esk4_2 X1 X2) k6_numbers → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk5_2 X1 X2) (u1_struct_0 X1) → False) → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v6_tbsp_1 X2 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 X1 X2 X4, (r1_xxreal_0 (k2_xcmplx_0 X1 X3) (k2_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 → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk4_2 X1 X2) k1_numbers → False) → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v6_tbsp_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 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 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, (v2_struct_0 X1 → False) → (v6_tbsp_1 X2 X1 → False) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v1_finset_1 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_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) → (∀X2 X1, (v2_struct_0 X1 → False) → (v6_tbsp_1 X2 X1 → False) → l1_metric_1 X1 → v1_xboole_0 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1 X3, (r1_xxreal_0 X1 X3 → False) → v1_xxreal_0 X3 → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r1_xxreal_0 X2 X3 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk6_2 X1 X2) X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 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 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_xcmplx_0 X2 X1) → 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 → v2_xxreal_0 (k2_xcmplx_0 X1 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) → (∀X2 X1, (m1_subset_1 (k7_real_1 X1 X2) k1_numbers → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r1_tarski X1 X2 → r2_hidden X3 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) → (∀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, (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, (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) → (∀X2 X1, ((k7_real_1 X1 X2) = (k7_real_1 X2 X1) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X2 X1, ((k7_real_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → m1_subset_1 X1 k1_numbers → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk6_2 X1 X2) X1 → False) → 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) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk26_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_metric_1 X1 → False) → (∀X1, (v2_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) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_1 X1 → v1_xboole_0 (esk22_1 X1) → 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) → (∀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, ((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 (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 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_finset_1 (esk22_1 X1) → False) → v6_metric_1 X1 → v8_metric_1 X1 → v9_metric_1 X1 → l1_metric_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, ((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, (v9_metric_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (u1_struct_0 X1) → False) → l1_metric_1 X1 → False) → (∀X1, (v9_metric_1 X1 → False) → (m1_subset_1 (esk31_1 X1) (u1_struct_0 X1) → False) → l1_metric_1 X1 → False) → (∀X1, (v9_metric_1 X1 → False) → (m1_subset_1 (esk30_1 X1) (u1_struct_0 X1) → False) → l1_metric_1 X1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → 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, 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, (v2_struct_0 X1 → False) → (v6_tbsp_1 (esk18_1 X1) X1 → False) → l1_metric_1 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 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, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk16_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 (esk26_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk15_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_zfmisc_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v7_struct_0 X1 → False) → (∀X1, (v1_finset_1 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v8_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, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v3_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 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk15_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v3_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 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_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, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → 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) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 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_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → 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) → v7_ordinal1 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 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, (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_metric_1 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__0 → False) → (r1_xxreal_0 np__2 (k7_xcmplx_0 np__1 np__2) → False) → (r1_xxreal_0 np__1 (k7_xcmplx_0 np__1 np__2) → False) → (r1_xxreal_0 np__2 (k4_xcmplx_0 np__1) → 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__2 np__0 → False) → (r1_xxreal_0 np__2 np__1 → False) → (r1_xxreal_0 np__1 np__0 → False) → (v1_finset_1 k1_numbers → False) → (v1_xboole_0 esk29_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 np__2 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k1_numbers → False) → (v2_struct_0 esk1_0 → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k7_xcmplx_0 np__1 np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__1 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) (k4_xcmplx_0 np__1)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__0 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 np__1 np__2) (k7_xcmplx_0 np__1 np__2)) = np__1 → False) → False) → (((k2_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) np__1) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k2_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → ((m2_subset_1 np__2 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__0 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 k6_numbers k1_numbers k5_numbers → False) → False) → (((k6_xcmplx_0 (k7_xcmplx_0 np__1 np__2) np__1) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k6_xcmplx_0 np__0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → (((k7_xcmplx_0 np__1 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k4_xcmplx_0 np__2) → False) → False) → (((k4_xcmplx_0 (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k6_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k4_xcmplx_0 (k7_xcmplx_0 np__1 np__2)) = (k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__2 → False) → False) → ((r1_xxreal_0 (k7_xcmplx_0 np__1 np__2) np__1 → False) → False) → ((r1_xxreal_0 np__0 (k7_xcmplx_0 np__1 np__2) → False) → False) → (((k7_xcmplx_0 np__1 (k7_xcmplx_0 np__1 np__2)) = np__2 → False) → False) → (((k7_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = (k7_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) → False) → False) → ((m1_subset_1 esk2_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__2) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__2) (k4_xcmplx_0 np__2)) = np__0 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) (k4_xcmplx_0 np__2)) = 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 (esk9_1 X1) X1 → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 (k4_xcmplx_0 np__1) np__1) = (k4_xcmplx_0 np__2) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__2) np__1) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__0) = (k4_xcmplx_0 np__1) → False) → False) → (((k7_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 np__0 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 np__1) → False) → False) → (((k2_xcmplx_0 np__1 (k4_xcmplx_0 np__2)) = (k4_xcmplx_0 np__1) → False) → False) → ((r1_xxreal_0 (k4_xcmplx_0 np__1) np__2 → 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 esk3_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__2) np__2) = np__0 → False) → False) → (((k2_xcmplx_0 (k4_xcmplx_0 np__1) np__2) = np__1 → 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) → (((k6_xcmplx_0 np__1 (k4_xcmplx_0 np__1)) = np__2 → False) → False) → (((k2_xcmplx_0 np__2 (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__2) = (k4_xcmplx_0 np__2) → False) → False) → (((k6_xcmplx_0 np__0 np__1) = (k4_xcmplx_0 np__1) → False) → False) → (((k6_xcmplx_0 np__1 np__2) = (k4_xcmplx_0 np__1) → False) → False) → ((r1_xxreal_0 np__2 np__2 → False) → False) → ((r1_xxreal_0 np__0 np__2 → 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__2 → False) → False) → ((r1_xxreal_0 np__1 np__1 → False) → False) → ((m1_subset_1 np__2 k5_numbers → False) → False) → ((m1_subset_1 np__2 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) → ((v6_tbsp_1 esk2_0 esk1_0 → False) → False) → (((k7_xcmplx_0 np__1 np__1) = np__1 → False) → False) → (((k6_xcmplx_0 np__2 np__2) = np__0 → False) → False) → (((k6_xcmplx_0 np__2 np__0) = np__2 → False) → False) → (((k6_xcmplx_0 np__2 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) → (((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) → (((k2_xcmplx_0 np__1 np__1) = np__2 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__2)) = np__2 → False) → False) → (((k4_xcmplx_0 (k4_xcmplx_0 np__1)) = np__1 → False) → False) → ((v3_xxreal_0 esk24_0 → False) → False) → ((v3_xxreal_0 esk23_0 → False) → False) → ((v2_xxreal_0 esk21_0 → False) → False) → ((v2_xxreal_0 esk20_0 → False) → False) → ((v2_xxreal_0 np__2 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xcmplx_0 esk27_0 → False) → False) → ((v1_xcmplx_0 esk23_0 → False) → False) → ((v1_xcmplx_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk28_0 → False) → False) → ((v1_xxreal_0 esk27_0 → False) → False) → ((v1_xxreal_0 esk24_0 → False) → False) → ((v1_xxreal_0 esk23_0 → False) → False) → ((v1_xxreal_0 esk21_0 → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk14_0 → False) → False) → ((v7_ordinal1 esk29_0 → False) → False) → ((v7_ordinal1 esk25_0 → False) → False) → ((v1_xboole_0 esk28_0 → False) → False) → ((v1_xboole_0 esk27_0 → False) → False) → ((v1_xboole_0 esk12_0 → False) → False) → ((v1_xboole_0 np__0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_xreal_0 esk27_0 → False) → False) → ((v1_xreal_0 esk23_0 → False) → False) → ((v1_xreal_0 esk20_0 → False) → False) → ((v1_xreal_0 esk13_0 → False) → False) → ((v2_ordinal1 esk17_0 → False) → False) → ((v1_ordinal1 esk17_0 → False) → False) → ((v3_ordinal1 esk17_0 → False) → False) → ((v3_ordinal1 esk11_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((l1_struct_0 esk8_0 → False) → False) → ((l1_metric_1 esk7_0 → False) → False) → ((l1_metric_1 esk1_0 → False) → False) → ((v9_metric_1 esk1_0 → False) → False) → ((v8_metric_1 esk1_0 → False) → False) → ((v6_metric_1 esk1_0 → False) → False) → (((k4_xcmplx_0 np__0) = np__0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → ((k1_xboole_0 = k6_numbers → False) → False) → False
In Proofgold the corresponding term root is 142c3e... and proposition id is be9880...
Proof:
The rest of the proof is missing.