Theorem. (
l26_homothet)
∀v7_struct_0 : set → prop, ∀v1_diraf : set → prop, ∀r3_aff_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀l1_analoaf : set → prop, ∀r5_aff_1 : set → set → set → prop, ∀esk17_3 : set → set → set → set, ∀v2_diraf : set → prop, ∀esk16_3 : set → set → set → set, ∀k2_aff_1 : set → set → set → set, ∀esk15_2 : set → set → set, ∀v2_struct_0 : set → prop, ∀esk13_1 : set → set, ∀l1_struct_0 : set → prop, ∀esk12_1 : set → set, ∀r1_tarski : set → set → prop, ∀k1_xboole_0 : set, ∀v8_struct_0 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀esk10_1 : set → set, ∀esk8_0 : set, ∀esk9_0 : set, ∀np__1 : set, ∀v13_struct_0 : set → set → prop, ∀esk11_1 : set → set, ∀v1_xboole_0 : set → prop, ∀esk14_2 : set → set → set, ∀esk7_2 : set → set → set, ∀esk6_2 : set → set → set, ∀k1_aff_1 : set → set → set → set, ∀v1_aff_1 : set → set → prop, ∀m1_subset_1 : set → set → prop, ∀u1_struct_0 : set → set, ∀esk1_0 : set, ∀r2_analoaf : set → set → set → set → set → prop, ∀esk3_0 : set, ∀esk2_0 : set, ∀r2_aff_1 : set → set → set → set → prop, ∀esk4_0 : set, ∀esk5_0 : set, ∀r2_hidden : set → set → prop, (∀X2 X3 X1, (r2_hidden esk5_0 esk4_0 → False) → r2_hidden X2 esk4_0 → r2_hidden X1 esk4_0 → m1_subset_1 X3 (u1_struct_0 esk1_0) → m1_subset_1 X2 (u1_struct_0 esk1_0) → m1_subset_1 X1 (u1_struct_0 esk1_0) → r2_aff_1 esk1_0 esk5_0 X3 esk4_0 → r2_analoaf esk1_0 X1 esk3_0 X2 X3 → r2_analoaf esk1_0 X1 esk2_0 X2 esk5_0 → False) → (∀X3 X4 X5 X2 X6 X7 X1, (v7_struct_0 X1 → False) → (r2_analoaf X1 X2 X3 X4 X5 → False) → v1_diraf X1 → l1_analoaf X1 → r2_hidden X5 X7 → r2_hidden X4 X7 → r2_hidden X3 X6 → r2_hidden X2 X6 → r3_aff_1 X1 X6 X7 → m1_subset_1 X5 (u1_struct_0 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 X7 (k1_zfmisc_1 (u1_struct_0 X1)) → m1_subset_1 X6 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X5 X3 X2 X4 X1, (v7_struct_0 X1 → False) → (r2_aff_1 X1 X2 X3 X5 → False) → v1_diraf X1 → l1_analoaf X1 → r2_hidden X3 X4 → r2_hidden X2 X4 → r3_aff_1 X1 X4 X5 → 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)) → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X4 X2 X3 X1, (v7_struct_0 X1 → False) → (r2_hidden X2 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r2_hidden X3 X4 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → r2_aff_1 X1 X2 X3 X4 → m1_subset_1 X4 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X4 X1, (v7_struct_0 X1 → False) → (v1_aff_1 X2 X1 → False) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X4 (u1_struct_0 X1) → m1_subset_1 X3 (u1_struct_0 X1) → r2_aff_1 X1 X3 X4 X2 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X4 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X3 X4 → r5_aff_1 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) → (∀X2 X4 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X4 X3 → r5_aff_1 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) → (∀X3 X4 X2 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X2 X4 → r5_aff_1 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) → (∀X3 X4 X2 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X3 X4 → False) → v1_diraf X1 → l1_analoaf X1 → r5_aff_1 X1 X4 X2 → r5_aff_1 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) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 X3 → False) → (m1_subset_1 (esk17_3 X1 X2 X3) (u1_struct_0 X1) → False) → v1_diraf X1 → v2_diraf X1 → l1_analoaf 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 (esk17_3 X1 X2 X3) X2 → False) → v1_diraf X1 → v2_diraf X1 → l1_analoaf 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 (esk17_3 X1 X2 X3) X3 → False) → v1_diraf X1 → v2_diraf X1 → l1_analoaf 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) → (∀X1 X2 X3 X4, (X3 = X4 → False) → (v7_struct_0 X1 → False) → v1_diraf X1 → l1_analoaf 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, (v7_struct_0 X1 → False) → (r5_aff_1 X1 X2 (esk16_3 X1 X3 X2) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X3 X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk16_3 X1 X2 X3) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X3 X1 → m1_subset_1 X2 (u1_struct_0 X1) → m1_subset_1 X3 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X3 X1, (v7_struct_0 X1 → False) → (r3_aff_1 X1 X2 X3 → False) → v1_diraf X1 → l1_analoaf 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) → v1_diraf X1 → l1_analoaf 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) → v1_diraf X1 → l1_analoaf 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) → (∀X3 X1 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (esk16_3 X2 X1 X3) → False) → v1_diraf X2 → l1_analoaf X2 → v1_aff_1 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) → (v7_struct_0 X2 → False) → (v1_aff_1 X4 X2 → False) → X4 = (k2_aff_1 X2 X1 X3) → v1_diraf X2 → l1_analoaf 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) → v1_diraf X1 → l1_analoaf 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) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X1 X3 X2, (v7_struct_0 X2 → False) → (v1_aff_1 X1 X2 → False) → v1_diraf X2 → l1_analoaf X2 → r3_aff_1 X2 X1 X3 → 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 X2, (v7_struct_0 X2 → False) → (v1_aff_1 X1 X2 → False) → v1_diraf X2 → l1_analoaf X2 → r3_aff_1 X2 X3 X1 → 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 X2, (v7_struct_0 X2 → False) → (r2_hidden X1 (k2_aff_1 X2 X1 X3) → False) → v1_diraf X2 → l1_analoaf 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) → v1_diraf X2 → l1_analoaf X2 → m1_subset_1 X3 (u1_struct_0 X2) → m1_subset_1 X1 (u1_struct_0 X2) → False) → (∀X1 X2, ((k2_aff_1 X2 (esk6_2 X2 X1) (esk7_2 X2 X1)) = X1 → False) → (v7_struct_0 X2 → False) → v1_diraf X2 → l1_analoaf X2 → v1_aff_1 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) → v1_diraf X1 → l1_analoaf 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) → v1_diraf X1 → l1_analoaf X1 → m1_subset_1 X3 (u1_struct_0 X1) → m1_subset_1 X2 (u1_struct_0 X1) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk15_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk14_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk7_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk6_2 X1 X2) (u1_struct_0 X1) → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (esk15_2 X1 X2) = (esk14_2 X1 X2) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (esk7_2 X1 X2) = (esk6_2 X1 X2) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (r2_hidden (esk15_2 X1 X2) X2 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1, (v7_struct_0 X1 → False) → (r2_hidden (esk14_2 X1 X2) X2 → False) → v1_diraf X1 → l1_analoaf X1 → v1_aff_1 X2 X1 → m1_subset_1 X2 (k1_zfmisc_1 (u1_struct_0 X1)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (m1_subset_1 (esk11_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → (m1_subset_1 (esk12_1 X1) (k1_zfmisc_1 (u1_struct_0 X1)) → False) → l1_struct_0 X1 → False) → (∀X1, esk5_0 = X1 → r2_hidden esk5_0 esk4_0 → m1_subset_1 X1 (u1_struct_0 esk1_0) → 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, (m1_subset_1 X1 (k1_zfmisc_1 X2) → False) → r1_tarski X1 X2 → 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, l1_struct_0 X1 → v2_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, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v13_struct_0 X1 np__1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v13_struct_0 X1 np__1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v1_finset_1 (u1_struct_0 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk13_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (esk11_1 X1) → False) → (∀X1, (v2_struct_0 X1 → False) → l1_struct_0 X1 → v1_xboole_0 (u1_struct_0 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (esk12_1 X1) → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v1_zfmisc_1 (u1_struct_0 X1) → False) → (∀X1, (v13_struct_0 X1 k1_xboole_0 → False) → l1_struct_0 X1 → v2_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) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v1_xboole_0 (u1_struct_0 X1) → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v2_struct_0 X1 → False) → (v1_zfmisc_1 (esk11_1 X1) → False) → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v8_struct_0 X1 → False) → v7_struct_0 X1 → l1_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X1, (v7_struct_0 X1 → False) → l1_struct_0 X1 → v2_struct_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (l1_struct_0 X1 → False) → l1_analoaf X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (r2_hidden esk2_0 esk4_0 → False) → (v1_xboole_0 np__1 → False) → (v7_struct_0 esk1_0 → False) → ((r2_aff_1 esk1_0 esk2_0 esk3_0 esk4_0 → False) → False) → ((m1_subset_1 esk4_0 (k1_zfmisc_1 (u1_struct_0 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk10_1 X1) X1 → False) → False) → ((m1_subset_1 esk5_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) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((l1_struct_0 esk9_0 → False) → False) → ((l1_analoaf esk8_0 → False) → False) → ((l1_analoaf esk1_0 → False) → False) → ((v2_diraf esk1_0 → False) → False) → ((v1_diraf esk1_0 → False) → False) → False