Theorem. (
t22_cqc_the1)
∀esk34_2 : set → set → set, ∀r1_xxreal_0 : set → set → prop, ∀k5_numbers : set, ∀a_1_1_cqc_the1 : set → set, ∀v1_subset_1 : set → set → prop, ∀a_0_1_cqc_the1 : set, ∀np__9 : set, ∀v5_finset_1 : set → prop, ∀v3_finseq_1 : set → prop, ∀v1_finset_1 : set → prop, ∀esk30_1 : set → set, ∀v3_ordinal1 : set → prop, ∀esk29_1 : set → set, ∀esk27_1 : set → set, ∀esk23_1 : set → set, ∀esk15_1 : set → set, ∀np__1 : set, ∀v7_ordinal1 : set → prop, ∀k4_ordinal1 : set, ∀k1_xboole_0 : set, ∀v1_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v4_funct_1 : set → prop, ∀v1_xcmplx_0 : set → prop, ∀esk22_0 : set, ∀esk20_0 : set, ∀esk3_0 : set, ∀k2_cqc_the1 : set, ∀esk25_1 : set → set, ∀esk31_1 : set → set, ∀v2_card_1 : set → prop, ∀esk8_0 : set, ∀esk4_0 : set, ∀esk9_0 : set, ∀esk12_0 : set, ∀esk10_0 : set, ∀o_0_0_xboole_0 : set, ∀esk16_0 : set, ∀esk5_0 : set, ∀esk7_0 : set, ∀esk2_0 : set, ∀esk6_0 : set, ∀esk11_0 : set, ∀esk14_0 : set, ∀esk32_0 : set, ∀esk18_0 : set, ∀esk21_0 : set, ∀esk13_1 : set → set, ∀v5_ordinal1 : set → prop, ∀k1_numbers : set, ∀esk17_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀esk26_1 : set → set, ∀esk19_1 : set → set, ∀esk24_1 : set → set, ∀esk28_1 : set → set, ∀v1_finseq_1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀v6_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀r1_tarski : set → set → prop, ∀v2_xxreal_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀v3_xxreal_0 : set → prop, ∀esk33_2 : set → set → set, ∀r2_hidden : set → set → prop, ∀esk1_2 : set → set → set, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, (∀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 (esk1_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) → (∀X1 X3 X2, r2_hidden X3 X2 → r2_hidden X1 X2 → r2_hidden X1 (esk33_2 X3 X2) → False) → (∀X1 X2, (r1_xxreal_0 (esk34_2 X1 X2) X2 → False) → m1_subset_1 X2 k5_numbers → r2_hidden X1 (a_1_1_cqc_the1 X2) → False) → (∀X1 X2, (m1_subset_1 (esk34_2 X1 X2) k5_numbers → False) → m1_subset_1 X2 k5_numbers → r2_hidden X1 (a_1_1_cqc_the1 X2) → False) → (∀X1 X2 X3, (r2_hidden X2 (a_1_1_cqc_the1 X3) → False) → X1 = X2 → r1_xxreal_0 X1 X3 → m1_subset_1 X3 k5_numbers → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1 X3, (m1_subset_1 X1 X3 → False) → r2_hidden X1 X2 → m1_subset_1 X2 (k1_zfmisc_1 X3) → False) → (∀X1 X2, ((esk34_2 X1 X2) = X1 → False) → m1_subset_1 X2 k5_numbers → r2_hidden X1 (a_1_1_cqc_the1 X2) → False) → (∀X2 X1, (r2_hidden (esk33_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 (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, (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, (r2_hidden X2 a_0_1_cqc_the1 → False) → X1 = X2 → m1_subset_1 X1 k5_numbers → r1_xxreal_0 X1 np__9 → False) → (∀X2 X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v3_xxreal_0 X2 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v3_xxreal_0 X2 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v2_xxreal_0 X1 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v2_xxreal_0 X1 → v1_xreal_0 X2 → v1_xreal_0 X1 → r1_xxreal_0 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, (v1_zfmisc_1 X2 → False) → v1_zfmisc_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, (v6_ordinal1 X2 → False) → v6_ordinal1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X1 X2, (v3_finseq_1 X2 → False) → v3_finseq_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) → (∀X1 X2, (v1_finset_1 X2 → False) → v1_finset_1 X1 → m1_subset_1 X2 (k1_zfmisc_1 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 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) → (∀X1, (r1_xxreal_0 (esk30_1 X1) np__9 → False) → r2_hidden X1 a_0_1_cqc_the1 → False) → (∀X1, (m1_subset_1 (esk30_1 X1) k5_numbers → False) → r2_hidden X1 a_0_1_cqc_the1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → (r1_xxreal_0 X1 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (m1_subset_1 X1 X2 → False) → r2_hidden X1 X2 → False) → (∀X1 X2, (v1_finseq_1 X2 → False) → v3_finseq_1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1 X2, (v1_finset_1 X2 → False) → v5_finset_1 X1 → m1_subset_1 X2 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 (esk24_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk23_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 (esk15_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_finset_1 X1 → False) → (m1_subset_1 (esk26_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_finset_1 (a_1_1_cqc_the1 X1) → False) → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, v1_xboole_0 X2 → r2_hidden X1 X2 → False) → (∀X2 X1, (r1_xxreal_0 X1 X1 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → False) → (∀X1, (v3_card_1 (esk17_1 X1) X1 → False) → v1_card_1 X1 → False) → (∀X1, v1_xboole_0 X1 → v3_card_1 X1 np__1 → False) → (∀X1, ((esk30_1 X1) = X1 → False) → r2_hidden X1 a_0_1_cqc_the1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_subset_1 (esk15_1 X1) X1 → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → v3_card_1 X1 np__1 → 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_xboole_0 X1 → False) → v3_card_1 X1 k1_xboole_0 → False) → (∀X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → 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 (esk19_1 X1) np__1 → False) → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xxreal_0 X1 → v2_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1, v1_xboole_0 X1 → v1_xxreal_0 X1 → v2_xxreal_0 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 (esk24_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk23_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (esk26_1 X1) → False) → (∀X1, (v1_finset_1 X1 → False) → v1_finset_1 (k1_zfmisc_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X1 → False) → v1_xxreal_0 X1 → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_finset_1 X1 → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 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) → (∀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 (esk24_1 X1) → False) → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v4_funct_1 X1 → False) → v3_finseq_1 X1 → False) → (∀X1, (v5_finset_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v6_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_finseq_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_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) → v7_ordinal1 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, v1_subset_1 (esk13_1 X1) X1 → False) → (r1_xxreal_0 np__9 np__1 → False) → (∀X1, v1_xboole_0 (k1_zfmisc_1 X1) → False) → (v1_xboole_0 esk22_0 → False) → (v1_xboole_0 esk21_0 → False) → (v1_xboole_0 esk20_0 → False) → (v1_xboole_0 esk18_0 → False) → (v1_xboole_0 esk3_0 → False) → (v1_xboole_0 k4_ordinal1 → False) → (v1_xboole_0 np__9 → False) → (v1_xboole_0 np__1 → False) → (v1_xboole_0 k2_cqc_the1 → False) → (v1_finset_1 esk32_0 → False) → (v1_finset_1 k4_ordinal1 → False) → (v1_finset_1 k2_cqc_the1 → False) → ((m2_subset_1 np__9 k1_numbers k5_numbers → False) → False) → ((m2_subset_1 np__1 k1_numbers k5_numbers → False) → False) → (∀X1, (m1_subset_1 (esk25_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk13_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (m1_subset_1 (esk31_1 X1) X1 → False) → False) → ((m1_subset_1 k5_numbers (k1_zfmisc_1 k1_numbers) → False) → False) → (∀X1, (r1_tarski X1 X1 → False) → False) → ((r1_xxreal_0 np__9 np__9 → False) → False) → ((r1_xxreal_0 np__1 np__9 → False) → False) → ((r1_xxreal_0 np__1 np__1 → False) → False) → ((m1_subset_1 np__9 k5_numbers → False) → False) → ((m1_subset_1 np__9 k1_numbers → False) → False) → ((m1_subset_1 np__1 k5_numbers → False) → False) → ((m1_subset_1 np__1 k1_numbers → False) → False) → ((m1_subset_1 k1_xboole_0 k4_ordinal1 → False) → False) → (∀X1, (v1_xboole_0 (esk25_1 X1) → False) → False) → ((v2_card_1 k4_ordinal1 → False) → False) → ((v5_finset_1 esk21_0 → False) → False) → ((v7_ordinal1 esk18_0 → False) → False) → ((v7_ordinal1 esk14_0 → False) → False) → ((v3_finseq_1 esk20_0 → False) → False) → ((v1_xreal_0 esk11_0 → False) → False) → ((v1_xreal_0 esk8_0 → False) → False) → ((v1_xreal_0 esk6_0 → False) → False) → ((v1_xreal_0 esk4_0 → False) → False) → ((v1_xcmplx_0 esk8_0 → False) → False) → ((v1_xcmplx_0 esk6_0 → False) → False) → ((v1_xcmplx_0 esk4_0 → False) → False) → ((v1_card_1 esk9_0 → False) → False) → ((v1_card_1 esk2_0 → False) → False) → ((v1_card_1 k4_ordinal1 → False) → False) → ((v3_xxreal_0 esk7_0 → False) → False) → ((v3_xxreal_0 esk6_0 → False) → False) → ((v2_xxreal_0 esk5_0 → False) → False) → ((v2_xxreal_0 esk4_0 → False) → False) → ((v2_xxreal_0 np__9 → False) → False) → ((v2_xxreal_0 np__1 → False) → False) → ((v1_xxreal_0 esk16_0 → False) → False) → ((v1_xxreal_0 esk12_0 → False) → False) → ((v1_xxreal_0 esk8_0 → False) → False) → ((v1_xxreal_0 esk7_0 → False) → False) → ((v1_xxreal_0 esk6_0 → False) → False) → ((v1_xxreal_0 esk5_0 → False) → False) → ((v1_xxreal_0 esk4_0 → False) → False) → ((v3_ordinal1 esk10_0 → False) → False) → ((v3_ordinal1 esk3_0 → False) → False) → ((v3_ordinal1 esk2_0 → False) → False) → ((