Theorem. (
t17_euclmetr)
∀v2_struct_0 : set → prop, ∀l1_analmetr : set → prop, ∀r2_hidden : set → set → prop, ∀r10_analmetr : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀v2_analmetr : set → prop, ∀v3_analmetr : set → prop, ∀r5_analmetr : set → set → set → set → prop, ∀g1_analoaf : set → set → set, ∀v1_analoaf : set → prop, ∀k3_analmetr : set → set, ∀r5_aff_1 : set → set → set → prop, ∀r8_analmetr : set → set → set → prop, ∀r9_analmetr : set → set → set → prop, ∀k4_analmetr : set → set → set → set, ∀k2_aff_1 : set → set → set → set, ∀esk25_3 : set → set → set → set, ∀r3_aff_1 : set → set → set → prop, ∀v1_xboole_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀esk12_2 : set → set → set, ∀esk22_1 : set → set, ∀r1_tarski : set → set → prop, ∀v6_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀k1_xboole_0 : set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_xreal_0 : set → prop, ∀k1_numbers : set, ∀v1_xxreal_0 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀esk24_0 : set, ∀esk18_0 : set, ∀k5_numbers : set, ∀esk14_0 : set, ∀v2_xxreal_0 : set → prop, ∀esk20_0 : set, ∀esk15_0 : set, ∀esk9_0 : set, ∀esk8_0 : set, ∀esk10_0 : set, ∀esk13_0 : set, ∀esk21_0 : set, ∀esk23_0 : set, ∀esk11_1 : set → set, ∀esk19_0 : set, ∀v5_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀v7_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀esk16_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk17_1 : set → set, ∀esk7_2 : set → set → set, ∀esk6_2 : set → set → set, ∀k1_aff_1 : set → set → set → set, ∀r7_analmetr : set → set → set → prop, ∀v2_diraf : set → prop, ∀v1_aff_1 : set → set → prop, ∀v1_diraf : set → prop, ∀esk26_3 : set → set → set → set, ∀v7_struct_0 : set → prop, ∀k2_zfmisc_1 : set → set → set, ∀u1_analoaf : set → set, ∀l1_analoaf : set → prop, ∀v4_analmetr : set → set → prop, ∀r6_analmetr : set → set → set → set → prop, ∀r4_analmetr : set → set → set → set → set → prop, ∀esk2_0 : set, ∀esk5_0 : set, ∀esk3_0 : set, ∀esk4_0 : set, ∀esk1_0 : set, ∀u1_struct_0 : set → set, ∀m1_subset_1 : set → set → prop, (∀X1, m1_subset_1 X1 (u1_struct_0 esk1_0) → r4_analmetr esk1_0 esk2_0 esk5_0 esk2_0 X1 → r4_analmetr esk1_0 esk3_0 esk5_0 esk4_0 X1 → False) → (∀X5 X6 X7 X4 X2 X3 X1, (v2_struct_0 X1 → False) → (r4_analmetr X1 X4 X5 X6 X7 → False) → l1_analmetr X1 → v2_analmetr X1 → r2_hidden X7 X3 → r2_hidden X6 X3 → r2_hidden X5 X2 → r2_hidden X4 X2 → r10_analmetr X1 X2 X3 → m1_subset_1 X7 (u1_struct_0 X1) → m1_subset_1 X6 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 X1) → m1_subset_1 X4 (u1_struct_0 X1) → 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 X5 X2 X1, (v2_struct_0 X1 → False) → (v4_analmetr X4 X1 → False) → l1_analmetr X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r6_analmetr X1 X2 X3 X4 → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X3 X2 X5 X1, (v2_struct_0 X1 → False) → (r5_analmetr X1 X2 X3 X4 → False) → v3_analmetr X1 → l1_analmetr X1 → r2_hidden X4 X5 → r2_hidden X3 X5 → r2_hidden X2 X5 → v4_analmetr X5 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) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1, (m1_subset_1 (u1_analoaf X1) (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)) (k2_zfmisc_1 (u1_struct_0 X1) (u1_struct_0 X1)))) → False) → l1_analoaf X1 → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g1_analoaf X1 X3) = (g1_analoaf X2 X4) → m1_subset_1 X3 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X3 X4 X1 X2, (X1 = X2 → False) → (g1_analoaf X3 X1) = (g1_analoaf X4 X2) → m1_subset_1 X1 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X3 X3) (k2_zfmisc_1 X3 X3))) → False) → (∀X1 X2, (v1_analoaf (g1_analoaf X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X1 X2, (l1_analoaf (g1_analoaf X1 X2) → False) → m1_subset_1 X2 (k1_zfmisc_1 (k2_zfmisc_1 (k2_zfmisc_1 X1 X1) (k2_zfmisc_1 X1 X1))) → False) → (∀X4 X5 X2 X3 X1, (v2_struct_0 X1 → False) → (r8_analmetr X1 X4 X5 → False) → X3 = X5 → X2 = X4 → l1_analmetr X1 → v2_analmetr X1 → r5_aff_1 (k3_analmetr X1) X2 X3 → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X1))) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X1))) → False) → (∀X4 X5 X2 X3 X1, (v2_struct_0 X1 → False) → (r5_aff_1 (k3_analmetr X1) X4 X5 → False) → X3 = X5 → X2 = X4 → l1_analmetr X1 → v2_analmetr X1 → r8_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X5 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X1))) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X1))) → False) → (∀X2 X4 X3 X1, (v2_struct_0 X1 → False) → (r9_analmetr X1 X2 X4 → False) → v3_analmetr X1 → l1_analmetr X1 → r10_analmetr X1 X4 X3 → r10_analmetr X1 X2 X3 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → 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, (v2_struct_0 X1 → False) → (r10_analmetr X1 X4 X3 → False) → l1_analmetr X1 → v2_analmetr X1 → r10_analmetr X1 X2 X3 → r9_analmetr X1 X2 X4 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 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 X4 X3, (v2_struct_0 X3 → False) → (r5_analmetr X3 X1 X2 X4 → False) → X1 = X2 → l1_analmetr X3 → v2_analmetr X3 → m1_subset_1 X4 (u1_struct_0 X3) → m1_subset_1 X2 (u1_struct_0 X3) → m1_subset_1 X1 (u1_struct_0 X3) → False) → (∀X2 X1 X4 X3, (v2_struct_0 X3 → False) → (r5_analmetr X3 X1 X4 X2 → False) → X1 = X2 → l1_analmetr X3 → v2_analmetr X3 → m1_subset_1 X4 (u1_struct_0 X3) → m1_subset_1 X2 (u1_struct_0 X3) → m1_subset_1 X1 (u1_struct_0 X3) → False) → (∀X2 X1 X4 X3, (v2_struct_0 X3 → False) → (r5_analmetr X3 X4 X1 X2 → False) → X1 = X2 → l1_analmetr X3 → v2_analmetr X3 → m1_subset_1 X4 (u1_struct_0 X3) → m1_subset_1 X2 (u1_struct_0 X3) → m1_subset_1 X1 (u1_struct_0 X3) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (m1_subset_1 (esk26_3 X1 X2 X3) (u1_struct_0 X1) → False) → l1_analoaf X1 → v1_diraf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 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 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (r2_hidden (esk26_3 X1 X2 X3) X2 → False) → l1_analoaf X1 → v1_diraf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 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 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (r2_hidden (esk26_3 X1 X2 X3) X3 → False) → l1_analoaf X1 → v1_diraf X1 → v2_diraf X1 → v1_aff_1 X3 X1 → v1_aff_1 X2 X1 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X5 X3 X2 X4 X1, ((k4_analmetr X1 X2 X3) = (k2_aff_1 (k3_analmetr X1) X4 X5) → False) → (v2_struct_0 X1 → False) → X3 = X5 → X2 = X4 → l1_analmetr X1 → v2_analmetr X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X5 (u1_struct_0 (k3_analmetr X1)) → m1_subset_1 X4 (u1_struct_0 (k3_analmetr X1)) → False) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (v7_struct_0 X1 → False) → l1_analoaf X1 → v1_diraf X1 → r2_hidden X2 X4 → r2_hidden X2 X3 → r5_aff_1 X1 X3 X4 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r10_analmetr X1 X2 (esk25_3 X1 X2 X3) → False) → v3_analmetr X1 → l1_analmetr X1 → v4_analmetr X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X1 X3 X4 X5 X2, (v2_struct_0 X2 → False) → (v4_analmetr X1 X2 → False) → l1_analmetr X2 → r7_analmetr X2 X1 X3 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X1 X3 X4 X5 X2, (v2_struct_0 X2 → False) → (v4_analmetr X1 X2 → False) → l1_analmetr X2 → r7_analmetr X2 X3 X1 → m1_subset_1 X5 (u1_struct_0 X2) → m1_subset_1 X4 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk25_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v3_analmetr X1 → l1_analmetr X1 → v4_analmetr X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_aff_1 X1 X2 X3 → False) → l1_analoaf X1 → v1_diraf X1 → r5_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → l1_analoaf X1 → v1_diraf X1 → r3_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X2 → False) → l1_analoaf X1 → v1_diraf X1 → r5_aff_1 X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r8_analmetr X1 X2 X3 → False) → l1_analmetr X1 → v2_analmetr X1 → r9_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r9_analmetr X1 X2 X3 → False) → l1_analmetr X1 → v2_analmetr X1 → r8_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r9_analmetr X1 X3 X2 → False) → l1_analmetr X1 → v2_analmetr X1 → r9_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r7_analmetr X1 X2 X3 → False) → l1_analmetr X1 → v2_analmetr X1 → r10_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r10_analmetr X1 X2 X3 → False) → l1_analmetr X1 → v2_analmetr X1 → r7_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → (r10_analmetr X1 X3 X2 → False) → l1_analmetr X1 → v2_analmetr X1 → r10_analmetr X1 X2 X3 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (r2_hidden X1 (esk25_3 X2 X3 X1) → False) → v3_analmetr X2 → l1_analmetr X2 → v4_analmetr X3 X2 → m1_subset_1 X1 (u1_struct_0 X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X4 X1 X3, (X1 = X3 → False) → (v2_struct_0 X2 → False) → (v4_analmetr X4 X2 → False) → X4 = (k4_analmetr X2 X1 X3) → l1_analmetr X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k1_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_analoaf X1 → v1_diraf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (k2_aff_1 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_analoaf X1 → v1_diraf 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) → (m1_subset_1 (k4_analmetr X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_analmetr X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (v4_analmetr X3 X2 → False) → X1 = X3 → l1_analmetr X2 → v2_analmetr X2 → v1_aff_1 X1 (k3_analmetr X2) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2))) → False) → (∀X2 X3 X1, (v2_struct_0 X1 → False) → l1_analmetr X1 → v2_analmetr X1 → r10_analmetr X1 X2 X2 → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X1 X2, (v2_struct_0 X2 → False) → (v1_aff_1 X3 (k3_analmetr X2) → False) → X1 = X3 → l1_analmetr X2 → v2_analmetr X2 → v4_analmetr X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2))) → False) → (∀X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (k2_aff_1 X2 X1 X3) → False) → l1_analoaf X2 → v1_diraf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X3 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (k2_aff_1 X2 X3 X1) → False) → l1_analoaf X2 → v1_diraf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X2, ((k4_analmetr X2 (esk6_2 X2 X1) (esk7_2 X2 X1)) = X1 → False) → (v2_struct_0 X2 → False) → l1_analmetr X2 → v4_analmetr X1 X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → (∀X2 X3 X1, ((k1_aff_1 X1 X2 X3) = (k2_aff_1 X1 X2 X3) → False) → (v7_struct_0 X1 → False) → l1_analoaf X1 → v1_diraf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X3 X1, ((k2_aff_1 X1 X2 X3) = (k2_aff_1 X1 X3 X2) → False) → (v7_struct_0 X1 → False) → l1_analoaf X1 → v1_diraf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (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) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 X2)) → False) → l1_analmetr X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2))) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk7_2 X1 X2) (u1_struct_0 X1) → False) → l1_analmetr X1 → v4_analmetr X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 X1) → False) → l1_analmetr X1 → v4_analmetr X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v2_struct_0 X1 → False) → (esk7_2 X1 X2) = (esk6_2 X1 X2) → l1_analmetr X1 → v4_analmetr 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 (esk12_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 (k3_analmetr X2))) → False) → l1_analmetr X2 → m1_subset_1 X1 (k1_zfmisc_1 (u1_struct_0 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) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (u1_struct_0 X2) → False) → l1_analmetr X2 → m1_subset_1 X1 (u1_struct_0 (k3_analmetr X2)) → False) → (∀X1 X2, (v2_struct_0 X2 → False) → (m1_subset_1 X1 (u1_struct_0 (k3_analmetr X2)) → False) → l1_analmetr X2 → m1_subset_1 X1 (u1_struct_0 X2) → 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 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk22_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk16_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, (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) → (∀X1, ((g1_analoaf (u1_struct_0 X1) (u1_analoaf X1)) = X1 → False) → l1_analoaf X1 → v1_analoaf 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 → False) → l1_analmetr X1 → v2_analmetr X1 → v7_struct_0 (k3_analmetr X1) → False) → (∀X1, (v2_struct_0 X1 → False) → v3_analmetr X1 → l1_analmetr X1 → v7_struct_0 (k3_analmetr X1) → 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 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_diraf (k3_analmetr X1) → False) → v3_analmetr X1 → l1_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_diraf (k3_analmetr X1) → False) → l1_analmetr X1 → v2_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_diraf (k3_analmetr X1) → False) → v3_analmetr X1 → l1_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_analoaf (k3_analmetr X1) → False) → l1_analmetr X1 → v2_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_analoaf (k3_analmetr X1) → False) → v3_analmetr X1 → l1_analmetr X1 → 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 (esk17_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 (esk22_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk16_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_analmetr X1 → v2_struct_0 (k3_analmetr X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → v2_struct_0 X1 → l1_struct_0 X1 → 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, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v2_struct_0 X1 → False) → (v2_analmetr X1 → False) → v3_analmetr X1 → l1_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk16_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_analoaf (k3_analmetr X1) → False) → l1_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_analoaf (k3_analmetr X1) → False) → l1_analmetr X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (l1_analoaf (k3_analmetr X1) → False) → l1_analmetr 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_xxreal_0 X1 → False) → v1_xreal_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, (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) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_analoaf X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (l1_analoaf X1 → False) → l1_analmetr X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r5_analmetr esk1_0 esk2_0 esk3_0 esk5_0 → False) → (v1_xboole_0 esk24_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__1 → False) → (v2_struct_0 esk18_0 → False) → (v2_struct_0 esk1_0 → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1, (m1_subset_1 (esk11_1 X1) X1 → False) → False) → ((m1_subset_1 esk5_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk4_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk3_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 esk2_0 (u1_struct_0 esk1_0) → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((m1_subset_1 esk14_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) → ((v2_xxreal_0 esk20_0 → False) → False) → ((v2_xxreal_0 esk14_0 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xxreal_0 esk23_0 → False) → False) → ((v1_xxreal_0 esk20_0 → False) → False) → ((v1_xxreal_0 esk14_0 → False) → False) → ((v1_xcmplx_0 esk23_0 → False) → False) → ((v1_xcmplx_0 esk20_0 → False) → False) → ((v1_xcmplx_0 esk14_0 → False) → False) → ((v1_xboole_0 esk23_0 → False) → False) → ((v7_ordinal1 esk24_0 → False) → False) → ((v7_ordinal1 esk21_0 → False) → False) → ((v1_xreal_0 esk23_0 → False) → False) → ((v1_xreal_0 esk20_0 → False) → False) → ((v1_xreal_0 esk15_0 → False) → False) → ((v1_xreal_0 esk14_0 → False) → False) → ((v2_ordinal1 esk19_0 → False) → False) → ((v1_ordinal1 esk19_0 → False) → False) → ((v3_ordinal1 esk19_0 → False) → False) → ((v3_ordinal1 esk13_0 → False) → False) → ((v3_ordinal1 k4_ordinal1 → False) → False) → ((