Theorem. (
t10_cantor_1)
∀k8_setfam_1 : set → set → set, ∀esk35_3 : set → set → set → set, ∀r1_tarski : set → set → prop, ∀k3_tarski : set → set, ∀esk6_2 : set → set → set, ∀esk34_2 : set → set → set, ∀esk4_2 : set → set → set, ∀v5_finset_1 : set → prop, ∀v4_card_3 : set → prop, ∀esk30_1 : set → set, ∀esk27_1 : set → set, ∀esk17_1 : set → set, ∀v2_funct_1 : set → prop, ∀k1_xboole_0 : set, ∀esk23_1 : set → set, ∀esk26_0 : set, ∀esk33_0 : set, ∀esk31_0 : set, ∀esk21_0 : set, ∀esk12_0 : set, ∀esk19_0 : set, ∀esk14_0 : set, ∀esk16_0 : set, ∀o_0_0_xboole_0 : set, ∀esk11_0 : set, ∀esk13_0 : set, ∀esk25_0 : set, ∀esk8_1 : set → set, ∀esk20_1 : set → set, ∀esk18_0 : set, ∀esk22_0 : set, ∀esk32_0 : set, ∀esk28_0 : set, ∀esk3_0 : set, ∀esk1_0 : set, ∀esk2_0 : set, ∀v5_card_3 : set → prop, ∀v2_finset_1 : set → prop, ∀v1_card_3 : set → prop, ∀v1_funcop_1 : set → prop, ∀v2_funcop_1 : set → prop, ∀v3_funct_1 : set → prop, ∀esk15_1 : set → set, ∀esk24_1 : set → set, ∀esk29_1 : set → set, ∀v1_finset_1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v4_funct_1 : set → prop, ∀v1_relat_1 : set → prop, ∀v1_funct_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀k5_setfam_1 : set → set → set, ∀esk7_2 : set → set → set, ∀esk9_2 : set → set → set, ∀esk5_3 : set → set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀esk10_3 : set → set → set → set, ∀k9_setfam_1 : set → set, ∀a_2_0_cantor_1 : set → set → set, ∀r2_hidden : set → set → prop, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, (∀X2 X1 X3, (v1_xboole_0 X3 → False) → (m2_subset_1 (esk10_3 X1 X2 X3) (k9_setfam_1 (k9_setfam_1 X2)) X3 → False) → r2_hidden X1 (a_2_0_cantor_1 X2 X3) → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 (k9_setfam_1 X2))) → False) → (∀X3 X1 X2, (r2_hidden X1 (k8_setfam_1 X2 X3) → False) → r2_hidden X1 X2 → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 X2)) → r2_hidden X1 (esk35_3 X2 X1 X3) → False) → (∀X2 X1 X3, ((k8_setfam_1 X2 (esk10_3 X1 X2 X3)) = X1 → False) → (v1_xboole_0 X3 → False) → r2_hidden X1 (a_2_0_cantor_1 X2 X3) → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 (k9_setfam_1 X2))) → False) → (∀X4 X2 X1 X3, (v1_xboole_0 X3 → False) → (r2_hidden X4 (a_2_0_cantor_1 X2 X3) → False) → X4 = (k8_setfam_1 X2 X1) → m2_subset_1 X1 (k9_setfam_1 (k9_setfam_1 X2)) X3 → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 (k9_setfam_1 X2))) → False) → (∀X2 X1 X3, (r2_hidden X2 (k8_setfam_1 X1 X3) → False) → (r2_hidden (esk35_3 X1 X2 X3) X3 → False) → r2_hidden X2 X1 → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 X1)) → False) → (∀X2 X1 X3, (r1_tarski (k8_setfam_1 X2 X3) (k8_setfam_1 X2 X1) → False) → r1_tarski X1 X3 → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 X2)) → m1_subset_1 X1 (k9_setfam_1 (k9_setfam_1 X2)) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → r2_hidden X4 X3 → r2_hidden X1 X2 → r2_hidden X1 (k8_setfam_1 X2 X3) → m1_subset_1 X3 (k9_setfam_1 (k9_setfam_1 X2)) → False) → (∀X3 X2 X1, (X2 = (k3_tarski X1) → False) → r2_hidden X3 X1 → r2_hidden (esk6_2 X1 X2) X3 → r2_hidden (esk6_2 X1 X2) X2 → False) → (∀X1 X2 X3, (r2_hidden (esk5_3 X1 X2 X3) X1 → False) → X2 = (k3_tarski X1) → r2_hidden X3 X2 → False) → (∀X2 X3 X1, (r2_hidden X1 (esk5_3 X2 X3 X1) → False) → X3 = (k3_tarski X2) → r2_hidden X1 X3 → 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 (k9_setfam_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 (k9_setfam_1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk9_2 X1 X2) X1 X2 → False) → m1_subset_1 X2 (k9_setfam_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 (k9_setfam_1 X3) → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → (r2_hidden (esk6_2 X1 X2) (esk7_2 X1 X2) → False) → False) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk34_2 X3 X2) → False) → (∀X2 X1, (m1_subset_1 (k5_setfam_1 X2 X1) (k9_setfam_1 X2) → False) → m1_subset_1 X1 (k9_setfam_1 (k9_setfam_1 X2)) → False) → (∀X2 X1, (m1_subset_1 (k8_setfam_1 X2 X1) (k9_setfam_1 X2) → False) → m1_subset_1 X1 (k9_setfam_1 (k9_setfam_1 X2)) → False) → (∀X1 X2, (X2 = (k3_tarski X1) → False) → (r2_hidden (esk6_2 X1 X2) X2 → False) → (r2_hidden (esk7_2 X1 X2) X1 → False) → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X2 X1, ((k5_setfam_1 X2 X1) = (k3_tarski X1) → False) → m1_subset_1 X1 (k9_setfam_1 (k9_setfam_1 X2)) → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k9_setfam_1 X3) → False) → (∀X3 X2 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_tarski X3) → r2_hidden X2 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r2_hidden (esk34_2 X1 X2) X2 → False) → r2_hidden X1 X2 → False) → (∀X2 X1, v1_xboole_0 X1 → v1_subset_1 X2 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1 X3, v1_xboole_0 X3 → r2_hidden X1 X2 → m1_subset_1 X2 (k9_setfam_1 X3) → False) → (∀X1 X3 X2, (r2_hidden X3 X2 → False) → r2_hidden X3 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v1_subset_1 X2 X1 → False) → v1_xboole_0 X2 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk4_2 X1 X2) X1 → False) → False) → (∀X1 X2, (v1_funct_1 X2 → False) → v1_relat_1 X1 → v1_funct_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (X1 = X2 → False) → r1_tarski X2 X1 → r1_tarski X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → m1_subset_1 X1 (k9_setfam_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v4_funct_1 X2 → False) → v4_funct_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_zfmisc_1 X2 → False) → v1_zfmisc_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v4_card_3 X2 → False) → v4_card_3 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v1_xboole_0 X1 → m1_subset_1 X2 (k9_setfam_1 X1) → False) → (∀X2 X1, (r1_tarski X1 (k3_tarski X2) → False) → r2_hidden X1 X2 → False) → (∀X2 X1, (m1_subset_1 X1 (k9_setfam_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 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 X1 → False) → (∀X2 X1, (v1_funct_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X2 X1, (v1_relat_1 X1 → False) → v4_funct_1 X2 → m1_subset_1 X1 X2 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk30_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk29_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk27_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk24_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk17_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk15_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 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_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funct_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v2_funcop_1 X1 → False) → v1_relat_1 X1 → v1_funct_1 X1 → v1_funcop_1 X1 → False) → (∀X1, (v1_funcop_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_card_3 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → v1_funct_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk24_1 X1) X1 → False) → False) → (∀X1, (v1_finset_1 (k3_tarski X1) → False) → v1_finset_1 X1 → v5_finset_1 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk30_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk29_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 (esk17_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk15_1 X1) → False) → (∀X1, (v2_finset_1 X1 → False) → v1_xboole_0 X1 → v1_relat_1 X1 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → X1 = X2 → False) → (∀X1, (v5_finset_1 (k9_setfam_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k9_setfam_1 X1) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (v5_card_3 X1 → False) → v4_card_3 X1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (v1_finset_1 (esk30_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 (esk17_1 X1) → False) → False) → (∀X1, v1_finset_1 X1 → v5_card_3 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v5_card_3 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v1_finset_1 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_funct_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k8_setfam_1 esk1_0 (k5_setfam_1 (k9_setfam_1 esk1_0) esk2_0)) = (k8_setfam_1 esk1_0 esk3_0) → False) → (∀X1, v1_subset_1 (esk23_1 X1) X1 → False) → (∀X1, v1_xboole_0 (k9_setfam_1 X1) → False) → (v3_funct_1 esk26_0 → False) → (v1_finset_1 esk28_0 → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk32_0 → False) → (v1_xboole_0 esk31_0 → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk12_0 → False) → (v1_xboole_0 esk2_0 → False) → ((m1_subset_1 esk2_0 (k9_setfam_1 (k9_setfam_1 (k9_setfam_1 esk1_0))) → False) → False) → (∀X1, (m1_subset_1 (k9_setfam_1 X1) (k9_setfam_1 (k9_setfam_1 X1)) → False) → False) → (∀X1, (m1_subset_1 (esk23_1 X1) (k9_setfam_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk20_1 X1) (k9_setfam_1 X1) → False) → False) → ((m1_subset_1 esk3_0 (k9_setfam_1 (k9_setfam_1 esk1_0)) → False) → False) → (∀X1, (m1_subset_1 (esk8_1 X1) X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (((a_2_0_cantor_1 esk1_0 esk2_0) = esk3_0 → False) → False) → (∀X1, (v1_xboole_0 (esk20_1 X1) → False) → False) → ((v2_finset_1 esk33_0 → False) → False) → ((v4_funct_1 esk31_0 → False) → False) → ((v5_finset_1 esk32_0 → False) → False) → ((v3_funct_1 esk18_0 → False) → False) → ((v5_card_3 esk25_0 → False) → False) → ((v2_funct_1 esk19_0 → False) → False) → ((v1_funcop_1 esk13_0 → False) → False) → ((v1_finset_1 esk32_0 → False) → False) → ((v1_finset_1 esk22_0 → False) → False) → ((v1_finset_1 esk12_0 → False) → False) → ((v1_card_3 esk11_0 → False) → False) → ((v1_funct_1 esk33_0 → False) → False) → ((v1_funct_1 esk28_0 → False) → False) → ((v1_funct_1 esk26_0 → False) → False) → ((v1_funct_1 esk22_0 → False) → False) → ((v1_funct_1 esk19_0 → False) → False) → ((v1_funct_1 esk18_0 → False) → False) → ((v1_funct_1 esk14_0 → False) → False) → ((v1_funct_1 esk13_0 → False) → False) → ((v1_funct_1 esk11_0 → False) → False) → ((v1_relat_1 esk33_0 → False) → False) → ((v1_relat_1 esk28_0 → False) → False) → ((v1_relat_1 esk26_0 → False) → False) → ((v1_relat_1 esk22_0 → False) → False) → ((v1_relat_1 esk19_0 → False) → False) → ((v1_relat_1 esk18_0 → False) → False) → ((v1_relat_1 esk14_0 → False) → False) → ((v1_relat_1 esk13_0 → False) → False) → ((v1_relat_1 esk11_0 → False) → False) → ((v1_xboole_0 esk16_0 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((v1_xboole_0 k1_xboole_0 → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False