Theorem. (
t17_nat_1)
∀esk4_2 : set → set → set, ∀k5_numbers : set, ∀k3_nat_1 : set → set → set, ∀k1_numbers : set, ∀v3_xxreal_0 : set → prop, ∀v1_xreal_0 : set → prop, ∀k4_xcmplx_0 : set → set, ∀r1_tarski : set → set → prop, ∀v6_ordinal1 : set → prop, ∀v1_finset_1 : set → prop, ∀esk21_1 : set → set, ∀esk30_1 : set → set, ∀esk23_1 : set → set, ∀k4_ordinal1 : set, ∀k1_xboole_0 : set, ∀esk18_1 : set → set, ∀esk17_0 : set, ∀esk13_0 : set, ∀esk14_1 : set → set, ∀esk8_0 : set, ∀v2_card_1 : set → prop, ∀esk19_0 : set, ∀esk15_0 : set, ∀esk24_0 : set, ∀esk7_0 : set, ∀o_0_0_xboole_0 : set, ∀esk22_0 : set, ∀esk5_0 : set, ∀esk10_0 : set, ∀esk11_0 : set, ∀esk25_0 : set, ∀esk16_0 : set, ∀esk20_0 : set, ∀esk12_0 : set, ∀esk3_1 : set → set, ∀esk6_0 : set, ∀esk27_0 : set, ∀np__2 : set, ∀np__0 : set, ∀v5_ordinal1 : set → prop, ∀v2_ordinal1 : set → prop, ∀v1_ordinal1 : set → prop, ∀esk26_1 : set → set, ∀v3_card_1 : set → set → prop, ∀v1_card_1 : set → prop, ∀esk9_1 : set → set, ∀esk28_1 : set → set, ∀esk29_1 : set → set, ∀v3_ordinal1 : set → prop, ∀v1_zfmisc_1 : set → prop, ∀v1_xxreal_0 : set → prop, ∀v1_subset_1 : set → set → prop, ∀r2_hidden : set → set → prop, ∀k6_xcmplx_0 : set → set → set, ∀v2_xxreal_0 : set → prop, ∀esk2_0 : set, ∀esk1_0 : set, ∀k7_xcmplx_0 : set → set → set, ∀k2_nat_1 : set → set → set, ∀v1_xcmplx_0 : set → prop, ∀m2_subset_1 : set → set → set → prop, ∀k1_zfmisc_1 : set → set, ∀m1_subset_1 : set → set → prop, ∀v1_xboole_0 : set → prop, ∀esk32_1 : set → set, ∀esk33_1 : set → set, ∀r1_xxreal_0 : set → set → prop, ∀k6_numbers : set, ∀k1_nat_1 : set → set → set, ∀esk31_1 : set → set, ∀np__1 : set, ∀v7_ordinal1 : set → prop, ∀k2_xcmplx_0 : set → set → set, ∀esk34_2 : set → set → set, ∀k3_xcmplx_0 : set → set → set, ∀esk35_2 : set → set → set, (∀X6 X5 X3 X4 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → (r1_xxreal_0 X2 X6 → False) → (r1_xxreal_0 X2 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X5) X6) = k6_numbers → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = (k1_nat_1 (esk31_1 X2) np__1) → v7_ordinal1 X6 → v7_ordinal1 X5 → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X3 X2 X5 X1 X6, (r1_xxreal_0 X1 X6 → False) → (r1_xxreal_0 X1 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X5) X6) = k6_numbers → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = (k1_nat_1 (esk31_1 X1) np__1) → v7_ordinal1 X6 → v7_ordinal1 X5 → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X3 X4 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk32_1 X2)) (esk33_1 X2)) = (esk31_1 X2) → False) → (r1_xxreal_0 X2 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X5 X3 X2 X1 X6, (r1_xxreal_0 X1 X6 → False) → (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X5) X6) = k6_numbers → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = (k1_nat_1 (esk31_1 X1) np__1) → v7_ordinal1 X6 → v7_ordinal1 X5 → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X5 X3 X2 X1 X6, (r1_xxreal_0 X1 X6 → False) → (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X5) X6) = k6_numbers → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = (k1_nat_1 (esk31_1 X1) np__1) → v7_ordinal1 X6 → v7_ordinal1 X5 → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → (r1_xxreal_0 X2 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X2 (esk33_1 X2) → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → (r1_xxreal_0 X2 X4 → False) → (v7_ordinal1 (esk33_1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → (r1_xxreal_0 X2 X4 → False) → (v7_ordinal1 (esk32_1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X2 (esk34_2 X2 X1)) (esk35_2 X2 X1)) = X1 → False) → (r1_xxreal_0 X2 X4 → False) → (v7_ordinal1 (esk31_1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X2 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X2 X3 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X1 (esk32_1 X1)) (esk33_1 X1)) = (esk31_1 X1) → False) → (r1_xxreal_0 X1 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk33_1 X1) → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X1 (esk32_1 X1)) (esk33_1 X1)) = (esk31_1 X1) → False) → (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X4 X3 X2 X1, ((k2_xcmplx_0 (k3_xcmplx_0 X1 (esk32_1 X1)) (esk33_1 X1)) = (esk31_1 X1) → False) → (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X3 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk33_1 X1) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X2 X3 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk32_1 X1) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X2 X3 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk31_1 X1) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk35_2 X1 X2) → False) → (∀X2 X3 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk33_1 X1) → False) → (∀X2 X3 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 (esk33_1 X1) → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk33_1 X1) → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk33_1 X1) → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk32_1 X1) → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk32_1 X1) → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk31_1 X1) → False) → (v7_ordinal1 (esk35_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X3 X2 X1 X4, (r1_xxreal_0 X1 X4 → False) → (v7_ordinal1 (esk31_1 X1) → False) → (v7_ordinal1 (esk34_2 X1 X2) → False) → (k2_xcmplx_0 (k3_xcmplx_0 X1 X3) X4) = k6_numbers → v7_ordinal1 X4 → v7_ordinal1 X3 → v7_ordinal1 X2 → v7_ordinal1 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 X3, ((k2_xcmplx_0 (k3_xcmplx_0 X1 X3) (k3_xcmplx_0 X2 X3)) = (k3_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (v1_xboole_0 X1 → False) → (m2_subset_1 (esk4_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 X2, (m2_subset_1 (k3_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, (m2_subset_1 (k2_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, (m2_subset_1 (k1_nat_1 X1 X2) k1_numbers k5_numbers → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X1 X2 X3, ((k2_xcmplx_0 (k2_xcmplx_0 X1 X2) X3) = (k2_xcmplx_0 X1 (k2_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k3_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k3_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2 X3, ((k7_xcmplx_0 (k3_xcmplx_0 X1 X2) X3) = (k3_xcmplx_0 X1 (k7_xcmplx_0 X2 X3)) → False) → v1_xcmplx_0 X3 → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, v7_ordinal1 X2 → v7_ordinal1 X1 → r1_xxreal_0 X1 X2 → r1_xxreal_0 (k1_nat_1 X2 np__1) X1 → False) → (∀X1 X2, (r1_xxreal_0 esk1_0 X2 → False) → (k2_xcmplx_0 (k3_xcmplx_0 esk1_0 X1) X2) = esk2_0 → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X2 X1, (v2_xxreal_0 X1 → False) → (v3_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k3_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k7_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k7_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 (k3_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → (∀X2 X1, ((k2_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k4_xcmplx_0 (k2_xcmplx_0 X1 X2)) → False) → v1_xcmplx_0 X2 → v1_xcmplx_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) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X1 X2) → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → v1_xboole_0 (k2_xcmplx_0 X2 X1) → False) → (∀X2 X1, (r1_xxreal_0 X2 X1 → False) → (r1_xxreal_0 (k1_nat_1 X1 np__1) X2 → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → 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) → (∀X1 X2, (X1 = X2 → False) → v1_xxreal_0 X2 → v1_xxreal_0 X1 → r1_xxreal_0 X2 X1 → r1_xxreal_0 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, (v3_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v3_xxreal_0 X2 → False) → (v2_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k6_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v3_xxreal_0 (k2_xcmplx_0 X2 X1) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X1 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → (v2_xxreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → False) → (∀X1 X2, ((k3_nat_1 X1 X2) = (k3_nat_1 X2 X1) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X1 X2, ((k3_nat_1 X1 X2) = (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_nat_1 X2 X1) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X2 X1, ((k2_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → m1_subset_1 X1 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k1_nat_1 X2 X1) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X1 X2, ((k1_nat_1 X1 X2) = (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X1 → m1_subset_1 X2 k5_numbers → False) → (∀X2 X1, ((k6_xcmplx_0 (k4_xcmplx_0 X1) (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → 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) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, (v3_xxreal_0 X1 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v3_xxreal_0 X2 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X1 X2, (v2_xxreal_0 X2 → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → v2_xxreal_0 X1 → r1_xxreal_0 X1 X2 → False) → (∀X2 X1, ((k2_xcmplx_0 X1 (k4_xcmplx_0 X2)) = (k6_xcmplx_0 X1 X2) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 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, (v1_xreal_0 (k7_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k6_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k2_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v1_xreal_0 (k3_xcmplx_0 X1 X2) → False) → v1_xreal_0 X2 → v1_xreal_0 X1 → False) → (∀X2 X1, (v7_ordinal1 (k2_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X2 X1, (v7_ordinal1 (k3_xcmplx_0 X1 X2) → False) → v7_ordinal1 X2 → v7_ordinal1 X1 → False) → (∀X1 X2, (v6_ordinal1 X2 → False) → v6_ordinal1 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, (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) → (∀X2 X1, ((k2_xcmplx_0 X1 X2) = (k2_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X2 X1, ((k3_xcmplx_0 X1 X2) = (k3_xcmplx_0 X2 X1) → False) → v1_xcmplx_0 X2 → v1_xcmplx_0 X1 → False) → (∀X1 X2, (v1_xboole_0 X2 → False) → (r2_hidden X1 X2 → False) → m1_subset_1 X1 X2 → 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, (v3_ordinal1 X2 → False) → v3_ordinal1 X1 → m1_subset_1 X2 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → (m1_subset_1 (esk21_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_zfmisc_1 X1 → False) → (m1_subset_1 (esk29_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk30_1 X1) (k1_zfmisc_1 X1) → False) → False) → (∀X1, (v1_xboole_0 X1 → False) → (m1_subset_1 (esk28_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 (esk9_1 X1) (k1_zfmisc_1 X1) → False) → 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_xxreal_0 X1 → False) → v1_xreal_0 X1 → v2_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, (v2_xxreal_0 X1 → False) → v1_xreal_0 X1 → v3_xxreal_0 (k4_xcmplx_0 X1) → False) → (∀X1, ((k3_xcmplx_0 X1 (k4_xcmplx_0 np__1)) = (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_card_1 (esk26_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 (esk23_1 X1) X1 → False) → False) → (∀X1, (v1_finset_1 X1 → False) → m1_subset_1 X1 k4_ordinal1 → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → False) → (∀X1, (v1_xreal_0 X1 → False) → m1_subset_1 X1 k1_numbers → 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, (v7_ordinal1 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 (esk30_1 X1) np__1 → False) → False) → (∀X1, (v3_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v2_xxreal_0 X1 → False) → (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → 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_finset_1 X1 → False) → v1_finset_1 (esk21_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 (esk29_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk28_1 X1) → False) → (∀X1, (v1_xboole_0 X1 → False) → v1_xboole_0 (esk9_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, ((k3_xcmplx_0 np__1 X1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k7_xcmplx_0 X1 np__1) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k6_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k2_xcmplx_0 X1 k6_numbers) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_card_1 X1 k1_xboole_0 → False) → v1_xboole_0 X1 → False) → (∀X1, ((k7_xcmplx_0 k6_numbers X1) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, ((k3_xcmplx_0 X1 k6_numbers) = k6_numbers → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_ordinal1 X1 → v2_ordinal1 X1 → False) → (∀X1, (v7_ordinal1 X1 → False) → v3_ordinal1 X1 → v1_finset_1 X1 → False) → (∀X1, ((k4_xcmplx_0 (k4_xcmplx_0 X1)) = X1 → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xcmplx_0 X1 → False) → (∀X1, (v1_xcmplx_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xreal_0 (k4_xcmplx_0 X1) → False) → v1_xreal_0 X1 → False) → (∀X2 X1, (X1 = X2 → False) → v1_xboole_0 X2 → v1_xboole_0 X1 → False) → (∀X1, (v1_xboole_0 X1 → False) → (v1_zfmisc_1 (esk28_1 X1) → False) → False) → (∀X1, (v5_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_finset_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xcmplx_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v1_xreal_0 X1 → False) → (∀X1, (v1_xxreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_xreal_0 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v2_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v1_ordinal1 X1 → False) → v3_ordinal1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_card_1 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v3_ordinal1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v1_xboole_0 X1 → False) → (∀X1, (v1_card_1 X1 → False) → v7_ordinal1 X1 → False) → (∀X1, (