Theorem. (
t41_waybel26)
∀esk8_3 : set → set → set → set, ∀esk7_3 : set → set → set → set, ∀k9_xtuple_0 : set → set, ∀esk3_3 : set → set → set → set, ∀esk4_2 : set → set → set, ∀k6_waybel26 : set → set → set, ∀v1_funct_1 : set → prop, ∀k1_funct_1 : set → set → set, ∀esk12_3 : set → set → set → set, ∀k9_relat_1 : set → set → set, ∀v1_xboole_0 : set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀esk9_2 : set → set → set, ∀v1_subset_1 : set → set → prop, ∀v1_finset_1 : set → prop, ∀v2_finset_1 : set → prop, ∀r1_tarski : set → set → prop, ∀v5_finset_1 : set → prop, ∀esk28_1 : set → set, ∀esk25_1 : set → set, ∀esk16_1 : set → set, ∀esk24_1 : set → set, ∀esk32_0 : set, ∀esk30_0 : set, ∀esk22_0 : set, ∀esk13_1 : set → set, ∀esk15_0 : set, ∀esk17_0 : set, ∀o_0_0_xboole_0 : set, ∀esk20_0 : set, ∀esk18_0 : set, ∀esk21_1 : set → set, ∀v1_xtuple_0 : set → prop, ∀esk14_0 : set, ∀esk23_0 : set, ∀esk31_0 : set, ∀esk26_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀k1_xboole_0 : set, ∀v3_funct_1 : set → prop, ∀esk19_1 : set → set, ∀esk27_1 : set → set, ∀esk29_1 : set → set, ∀v2_funct_1 : set → prop, ∀k3_card_3 : set → set, ∀k2_card_3 : set → set, ∀k2_relat_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀v4_funct_1 : set → prop, ∀k5_waybel26 : set → set, ∀esk5_2 : set → set → set, ∀esk10_2 : set → set → set, ∀esk11_2 : set → set → set, ∀k2_tarski : set → set → set, ∀esk6_4 : set → set → set → set → set, ∀k1_tarski : set → set, ∀r2_hidden : set → set → prop, ∀v1_relat_1 : set → prop, ∀k7_relat_1 : set → set → set, (∀X2 X4 X3 X1, (r2_hidden (k2_tarski (k2_tarski (esk6_4 X1 X2 X3 X4) X4) (k1_tarski (esk6_4 X1 X2 X3 X4))) X1 → False) → X3 = (k7_relat_1 X1 X2) → v1_relat_1 X1 → r2_hidden X4 X3 → False) → (∀X3 X2 X1, (X3 = (k7_relat_1 X1 X2) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → (r2_hidden (k2_tarski (k2_tarski (esk8_3 X1 X2 X3) (esk7_3 X1 X2 X3)) (k1_tarski (esk8_3 X1 X2 X3))) X1 → False) → v1_relat_1 X1 → False) → (∀X1 X2, (X1 = X2 → False) → v1_relat_1 X2 → v1_relat_1 X1 → r2_hidden (k2_tarski (k2_tarski (esk10_2 X1 X2) (esk11_2 X1 X2)) (k1_tarski (esk10_2 X1 X2))) X2 → r2_hidden (k2_tarski (k2_tarski (esk10_2 X1 X2) (esk11_2 X1 X2)) (k1_tarski (esk10_2 X1 X2))) X1 → False) → (∀X4 X1 X2 X3, (X3 = (k7_relat_1 X1 X2) → False) → v1_relat_1 X1 → r2_hidden X4 X2 → r2_hidden (esk7_3 X1 X2 X3) X3 → r2_hidden (k2_tarski (k2_tarski X4 (esk7_3 X1 X2 X3)) (k1_tarski X4)) X1 → False) → (∀X2 X1, (X1 = X2 → False) → (r2_hidden (k2_tarski (k2_tarski (esk10_2 X1 X2) (esk11_2 X1 X2)) (k1_tarski (esk10_2 X1 X2))) X2 → False) → (r2_hidden (k2_tarski (k2_tarski (esk10_2 X1 X2) (esk11_2 X1 X2)) (k1_tarski (esk10_2 X1 X2))) X1 → False) → v1_relat_1 X2 → v1_relat_1 X1 → False) → (∀X3 X2 X1, (r2_hidden (k2_tarski (k2_tarski X1 (esk3_3 X3 X2 X1)) (k1_tarski X1)) X3 → False) → X2 = (k9_xtuple_0 X3) → r2_hidden X1 X2 → False) → (∀X2 X4 X3 X1, (r2_hidden (esk6_4 X1 X2 X3 X4) X2 → False) → X3 = (k7_relat_1 X1 X2) → v1_relat_1 X1 → r2_hidden X4 X3 → False) → (∀X3 X2 X1, (X2 = (k9_xtuple_0 X1) → False) → r2_hidden (esk4_2 X1 X2) X2 → r2_hidden (k2_tarski (k2_tarski (esk4_2 X1 X2) X3) (k1_tarski (esk4_2 X1 X2))) X1 → False) → (∀X1 X2, (X2 = (k9_xtuple_0 X1) → False) → (r2_hidden (esk4_2 X1 X2) X2 → False) → (r2_hidden (k2_tarski (k2_tarski (esk4_2 X1 X2) (esk5_2 X1 X2)) (k1_tarski (esk4_2 X1 X2))) X1 → False) → False) → (∀X2 X1 X3, (X1 = (k6_waybel26 X2 X3) → False) → (k9_xtuple_0 X1) = X3 → (k1_funct_1 X1 (esk12_3 X2 X3 X1)) = (k9_relat_1 X2 (esk12_3 X2 X3 X1)) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X3 X1, (X3 = (k7_relat_1 X1 X2) → False) → (r2_hidden (esk7_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X2 → False) → v1_relat_1 X1 → False) → (∀X4 X3 X1 X2 X5, (r2_hidden X2 X5 → False) → X5 = (k7_relat_1 X3 X4) → v1_relat_1 X3 → r2_hidden X1 X4 → r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) X3 → False) → (∀X1 X3 X2, (r2_hidden X1 (k1_funct_1 X2 X3) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (k2_tarski (k2_tarski X3 X1) (k1_tarski X3)) (k5_waybel26 X2) → False) → (∀X3 X1 X2, (r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k5_waybel26 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden X1 (k9_xtuple_0 X2) → r2_hidden X3 (k1_funct_1 X2 X1) → False) → (∀X3 X1 X2, (r2_hidden X1 (k9_xtuple_0 X2) → False) → v1_relat_1 X2 → v1_funct_1 X2 → r2_hidden (k2_tarski (k2_tarski X1 X3) (k1_tarski X1)) (k5_waybel26 X2) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k9_xtuple_0 X3) → r2_hidden (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) X3 → False) → (∀X2 X1 X3, (X3 = (k6_waybel26 X1 X2) → False) → (r2_hidden (esk12_3 X1 X2 X3) X2 → False) → (k9_xtuple_0 X3) = X2 → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 X3 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → v1_relat_1 X1 → v1_xboole_0 (k7_relat_1 X1 X2) → m1_subset_1 X2 (k1_zfmisc_1 (k9_xtuple_0 X1)) → False) → (∀X2 X3 X1 X4, ((k1_funct_1 X3 X1) = (k9_relat_1 X4 X1) → False) → X3 = (k6_waybel26 X4 X2) → v1_relat_1 X4 → v1_relat_1 X3 → v1_funct_1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (X2 = (k1_tarski X1) → False) → (esk9_2 X1 X2) = X1 → r2_hidden (esk9_2 X1 X2) 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, 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, (X2 = (k1_tarski X1) → False) → ((esk9_2 X1 X2) = X1 → False) → (r2_hidden (esk9_2 X1 X2) X2 → False) → False) → (∀X1 X2, (v4_funct_1 (k2_tarski X1 X2) → False) → v1_relat_1 X2 → v1_relat_1 X1 → v1_funct_1 X2 → v1_funct_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, (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_finset_1 (k1_funct_1 X1 X2) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k7_relat_1 X1 X2) → False) → v1_relat_1 X1 → v1_finset_1 X2 → v1_funct_1 X1 → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X3 X1 X2, ((k9_xtuple_0 X1) = X2 → False) → X1 = (k6_waybel26 X3 X2) → v1_relat_1 X3 → v1_relat_1 X1 → v1_funct_1 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, (v5_finset_1 (k2_tarski X1 X2) → False) → v1_finset_1 X2 → v1_finset_1 X1 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 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_zfmisc_1 X2 → False) → v1_zfmisc_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, (v1_xboole_0 X2 → False) → v1_xboole_0 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 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → False) → (∀X2 X1, ((k7_relat_1 X1 (k1_tarski X2)) = (k9_relat_1 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X1, ((k2_relat_1 (k3_card_3 (k2_card_3 X1))) = (k5_waybel26 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (v1_funct_1 (k6_waybel26 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X2 X1, (v1_relat_1 (k6_waybel26 X1 X2) → False) → v1_relat_1 X1 → False) → (∀X1, (v1_relat_1 (k3_card_3 (k2_card_3 X1)) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 (k9_xtuple_0 X1) → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1 X3, (X1 = X3 → False) → X2 = (k1_tarski X3) → r2_hidden X1 X2 → False) → (∀X1, (v1_funct_1 (k2_relat_1 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k2_relat_1 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → v2_funct_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk28_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk19_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk16_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1 X3, (r2_hidden X1 X3 → False) → X1 = X2 → X3 = (k1_tarski X2) → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_zfmisc_1 X1 → False) → (∀X1, (v3_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk25_1 X1) X1 → False) → False) → (∀X1, (v4_funct_1 (k1_tarski X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_funct_1 (k2_card_3 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_finset_1 (k9_xtuple_0 X1) → False) → v1_relat_1 X1 → v1_finset_1 X1 → False) → (∀X1, (v1_relat_1 (k2_card_3 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_relat_1 (k5_waybel26 X1) → False) → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk29_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk28_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk27_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk19_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk16_1 X1) → False) → (∀X1, (v2_finset_1 X1 → False) → v1_relat_1 X1 → v1_xboole_0 X1 → False) → (∀X1, ((k2_relat_1 (k2_relat_1 X1)) = X1 → False) → v1_relat_1 X1 → False) → (∀X1, (v5_finset_1 (k1_tarski X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v5_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_xboole_0 (k9_xtuple_0 X1) → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_relat_1 (k2_relat_1 X1) → False) → v1_relat_1 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 (esk29_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk27_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk19_1 X1) → False) → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_funct_1 X1 → False) → v1_xboole_0 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, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1 X2, v1_xboole_0 (k2_tarski X1 X2) → False) → ((k5_waybel26 (k6_waybel26 esk1_0 esk2_0)) = esk1_0 → False) → (∀X1, v1_subset_1 (esk24_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k1_tarski X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v3_funct_1 esk26_0 → False) → (v1_xboole_0 esk32_0 → False) → (v1_xboole_0 esk31_0 → False) → (v1_xboole_0 esk30_0 → False) → (v1_xboole_0 esk23_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk14_0 → False) → (∀X1 X2, (v1_funct_1 (k1_tarski (k2_tarski (k2_tarski X1 X2) (k1_tarski X1))) → False) → False) → (∀X2 X1, (v1_xtuple_0 (k2_tarski (k2_tarski X1 X2) (k1_tarski X1)) → False) → False) → (∀X1 X2, (v1_finset_1 (k2_tarski X1 X2) → False) → False) → (∀X2 X1, ((k2_tarski X1 X2) = (k2_tarski X2 X1) → False) → False) → (∀X1, (m1_subset_1 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk13_1 X1) X1 → False) → False) → ((r1_tarski (k9_xtuple_0 esk1_0) esk2_0 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, (v1_finset_1 (k1_tarski X1) → False) → False) → (∀X1, (v1_xboole_0 (esk21_1 X1) → False) → False) → ((v1_xtuple_0 esk18_0 → False) → False) → ((v2_finset_1 esk32_0 → False) → False) → ((v4_funct_1 esk30_0 → False) → False) → ((v5_finset_1 esk31_0 → False) → False) → ((v2_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk32_0 → False) → False) → ((v1_funct_1 esk26_0 → False) → False) → ((v1_funct_1 esk23_0 → False) → False) → ((v1_funct_1 esk20_0 → False) → False) → ((v1_funct_1 esk15_0 → False) → False) → ((v1_finset_1 esk31_0 → False) → False) → ((v1_finset_1 esk23_0 → False) → False) → ((v1_finset_1 esk14_0 → False) → False) → ((v1_xboole_0 esk17_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((v1_relat_1 esk32_0 → False) → False) → ((v1_relat_1 esk26_0 → False) → False) → ((v1_relat_1 esk23_0 → False) → False) → ((v1_relat_1 esk20_0 → False) → False) → ((v1_relat_1 esk15_0 → False) → False) → ((v1_relat_1 esk1_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False