Theorem. (
t34_topgen_4)
∀esk8_3 : set → set → set → set, ∀esk4_2 : set → set → set, ∀esk5_2 : set → set → set, ∀v1_xboole_0 : set → prop, ∀m1_subset_1 : set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m2_subset_1 : set → set → set → prop, ∀esk15_2 : set → set → set, ∀r1_tarski : set → set → prop, ∀esk7_2 : set → set → set, ∀v5_finset_1 : set → prop, ∀v4_card_3 : set → prop, ∀esk32_1 : set → set, ∀esk31_1 : set → set, ∀esk26_1 : set → set, ∀esk18_1 : set → set, ∀np__1 : set, ∀esk6_1 : set → set, ∀v7_ordinal1 : set → prop, ∀v3_ordinal1 : set → prop, ∀v5_card_3 : set → prop, ∀esk24_1 : set → set, ∀k1_numbers : set, ∀esk19_0 : set, ∀esk33_0 : set, ∀esk17_0 : set, ∀esk21_1 : set → set, ∀v2_card_1 : set → prop, ∀esk28_0 : set, ∀esk16_0 : set, ∀o_0_0_xboole_0 : set, ∀v2_xxreal_0 : set → prop, ∀esk14_1 : set → set, ∀k5_numbers : set, ∀esk22_0 : set, ∀esk23_1 : set → set, ∀esk2_0 : set, ∀esk1_0 : set, ∀k4_ordinal1 : set, ∀esk27_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀esk20_1 : set → set, ∀esk29_1 : set → set, ∀esk30_1 : set → set, ∀esk25_1 : set → set, ∀v1_zfmisc_1 : set → prop, ∀v1_finset_1 : set → prop, ∀v1_subset_1 : set → set → prop, ∀esk3_3 : set → set → set → set, ∀k1_setfam_1 : set → set, ∀k1_xboole_0 : set, ∀esk11_3 : set → set → set → set, ∀esk12_3 : set → set → set → set, ∀esk13_3 : set → set → set → set, ∀esk10_4 : set → set → set → set → set, ∀esk9_4 : set → set → set → set → set, ∀k3_xboole_0 : set → set → set, ∀k3_setfam_1 : set → set → set, ∀r2_hidden : set → set → prop, (∀X3 X2 X4 X1, ((k3_xboole_0 (esk9_4 X2 X3 X4 X1) (esk10_4 X2 X3 X4 X1)) = X1 → False) → X4 = (k3_setfam_1 X2 X3) → r2_hidden X1 X4 → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → r2_hidden (esk8_3 X1 X2 X3) X3 → r2_hidden (esk8_3 X1 X2 X3) X2 → r2_hidden (esk8_3 X1 X2 X3) X1 → False) → (∀X2 X1 X3 X4, (r2_hidden (esk10_4 X1 X2 X3 X4) X2 → False) → X3 = (k3_setfam_1 X1 X2) → r2_hidden X4 X3 → False) → (∀X2 X1 X3 X4, (r2_hidden (esk9_4 X1 X2 X3 X4) X1 → False) → X3 = (k3_setfam_1 X1 X2) → r2_hidden X4 X3 → False) → (∀X3 X2 X1, (X3 = (k3_setfam_1 X1 X2) → False) → ((k3_xboole_0 (esk12_3 X1 X2 X3) (esk13_3 X1 X2 X3)) = (esk11_3 X1 X2 X3) → False) → (r2_hidden (esk11_3 X1 X2 X3) X3 → False) → False) → (∀X5 X4 X1 X2 X3, (X3 = (k3_setfam_1 X1 X2) → False) → (esk11_3 X1 X2 X3) = (k3_xboole_0 X4 X5) → r2_hidden X5 X2 → r2_hidden X4 X1 → r2_hidden (esk11_3 X1 X2 X3) X3 → False) → (∀X2 X3 X1, (X3 = (k3_setfam_1 X1 X2) → False) → (r2_hidden (esk11_3 X1 X2 X3) X3 → False) → (r2_hidden (esk13_3 X1 X2 X3) X2 → False) → False) → (∀X1 X3 X2, (X3 = (k3_setfam_1 X1 X2) → False) → (r2_hidden (esk11_3 X1 X2 X3) X3 → False) → (r2_hidden (esk12_3 X1 X2 X3) X1 → False) → False) → (∀X1 X3 X2, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X1 → False) → False) → (∀X2 X3 X1, (X3 = (k3_xboole_0 X1 X2) → False) → (r2_hidden (esk8_3 X1 X2 X3) X3 → False) → (r2_hidden (esk8_3 X1 X2 X3) X2 → False) → False) → (∀X3 X1 X2, (X2 = k1_xboole_0 → False) → (r2_hidden X1 X3 → False) → X3 = (k1_setfam_1 X2) → r2_hidden X1 (esk3_3 X2 X3 X1) → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → r2_hidden (esk4_2 X1 X2) X2 → r2_hidden (esk4_2 X1 X2) (esk5_2 X1 X2) → False) → (∀X2 X3 X1, (X1 = k1_xboole_0 → False) → (r2_hidden X3 X2 → False) → (r2_hidden (esk3_3 X1 X2 X3) X1 → False) → X2 = (k1_setfam_1 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, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk15_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, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → (r2_hidden (esk5_2 X1 X2) X1 → False) → r2_hidden (esk4_2 X1 X2) X2 → False) → (∀X2 X3 X1, (X1 = k1_xboole_0 → False) → (X2 = (k1_setfam_1 X1) → False) → (r2_hidden (esk4_2 X1 X2) X3 → False) → (r2_hidden (esk4_2 X1 X2) X2 → False) → r2_hidden X3 X1 → False) → (∀X4 X2 X1 X3 X5 X6, (r2_hidden X5 X6 → False) → X6 = (k3_setfam_1 X2 X4) → X5 = (k3_xboole_0 X1 X3) → r2_hidden X3 X4 → r2_hidden X1 X2 → False) → (∀X2 X3 X1 X4, (r2_hidden X1 X4 → False) → X4 = (k3_xboole_0 X2 X3) → r2_hidden X1 X3 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_tarski X1 X2 → False) → r2_hidden (esk7_2 X1 X2) X2 → False) → (∀X3 X1 X2 X4, (X4 = k1_xboole_0 → False) → (r2_hidden X1 X3 → False) → X2 = (k1_setfam_1 X4) → r2_hidden X3 X4 → r2_hidden X1 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) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X2 X4) → r2_hidden X1 X3 → False) → (∀X3 X4 X1 X2, (r2_hidden X1 X2 → False) → X3 = (k3_xboole_0 X4 X2) → r2_hidden X1 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 (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) → (∀X1 X2, (r1_tarski X1 X2 → False) → (r2_hidden (esk7_2 X1 X2) X1 → False) → 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 (k1_zfmisc_1 X2) → False) → (∀X2 X1, r2_hidden X2 X1 → r2_hidden X1 X2 → False) → (∀X1 X2, (v5_finset_1 X2 → False) → v5_finset_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, (v4_card_3 X2 → False) → v4_card_3 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_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, (v1_finset_1 (k3_xboole_0 X1 X2) → False) → v1_finset_1 X1 → False) → (∀X2 X1, (v1_finset_1 (k3_xboole_0 X2 X1) → False) → v1_finset_1 X1 → 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) → (∀X1, (v1_finset_1 X1 → False) → (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk32_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk31_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk20_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk18_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X2 X1, v1_xboole_0 X1 → r2_hidden X2 X1 → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X1, (v3_card_1 (esk27_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, v1_xboole_0 X1 → v3_card_1 X1 np__1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk26_1 X1) X1 → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (r2_hidden (esk6_1 X1) X1 → False) → False) → (∀X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v3_card_1 X1 np__1 → False) → (∀X1, (v1_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 X1 np__1 → False) → v1_zfmisc_1 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v3_card_1 (esk31_1 X1) np__1 → False) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (esk25_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k1_zfmisc_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk32_1 X1) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v1_zfmisc_1 (esk30_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk29_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk20_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk18_1 X1) → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → v1_finset_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 (k1_zfmisc_1 X1) → False) → v1_finset_1 X1 → False) → (∀X1, (v1_finset_1 (k1_zfmisc_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 (esk32_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_finset_1 (esk20_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk29_1 X1) → False) → False) → (∀X1, v1_finset_1 X1 → v5_card_3 X1 → False) → (∀X2 X1, (X1 = k1_xboole_0 → False) → X2 = k1_xboole_0 → X1 = (k1_setfam_1 X2) → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 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_zfmisc_1 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_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, (v4_card_3 X1 → False) → v1_finset_1 X1 → False) → (∀X1, (v4_card_3 X1 → False) → v1_xboole_0 X1 → False) → (∀X2 X1, (X1 = (k1_setfam_1 X2) → False) → X2 = k1_xboole_0 → X1 = k1_xboole_0 → False) → (∀X1, (X1 = k1_xboole_0 → False) → v1_xboole_0 X1 → False) → ((k1_setfam_1 (k3_setfam_1 esk1_0 esk2_0)) = (k3_xboole_0 (k1_setfam_1 esk1_0) (k1_setfam_1 esk2_0)) → False) → (∀X1, v1_subset_1 (esk24_1 X1) X1 → False) → (∀X1, v1_xboole_0 (esk23_1 X1) → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_finset_1 esk22_0 → False) → (v1_finset_1 k1_numbers → False) → (v1_finset_1 k4_ordinal1 → False) → (v4_card_3 esk19_0 → False) → (v4_card_3 k1_numbers → False) → (v1_xboole_0 esk33_0 → False) → (v1_xboole_0 esk19_0 → False) → (v1_xboole_0 esk17_0 → False) → (v1_xboole_0 k1_numbers → False) → (v1_xboole_0 np__1 → False) → (esk2_0 = k1_xboole_0 → False) → (esk1_0 = k1_xboole_0 → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1, (m1_subset_1 (esk23_1 X1) (k1_zfmisc_1 (k1_zfmisc_1 X1)) → False) → False) → (∀X2 X1, ((k3_setfam_1 X1 X2) = (k3_setfam_1 X2 X1) → False) → False) → (∀X2 X1, ((k3_xboole_0 X1 X2) = (k3_xboole_0 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 (esk14_1 X1) X1 → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, ((k3_xboole_0 X1 X1) = X1 → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → (∀X1, ((k3_xboole_0 X1 k1_xboole_0) = k1_xboole_0 → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (∀X1, (v4_card_3 (esk23_1 X1) → False) → False) → (∀X1, (v1_xboole_0 (esk21_1 X1) → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v2_card_1 k4_ordinal1 → False) → False) → ((v5_finset_1 esk33_0 → False) → False) → ((v5_card_3 esk28_0 → False) → False) → ((v5_card_3 k4_ordinal1 → False) → False) → ((v1_finset_1 esk33_0 → False) → False) → ((v1_finset_1 esk17_0 → False) → False) → ((v1_card_1 esk16_0 → False) → False) → ((v1_card_1 k4_ordinal1 → False) → False) → ((v1_xboole_0 o_0_0_xboole_0 → False) → False) → ((k4_ordinal1 = k5_numbers → False) → False) → ((o_0_0_xboole_0 = k1_xboole_0 → False) → False) → False