| ∀ x0 : ι → ο . ∀ x1 : ι → ι → ι → ο . ∀ x2 : ι → ι . ∀ x3 : ι → ι → ι → ι → ι → ι . MetaCat x0 x1 x2 x3 ⟶ ∀ x4 x5 : ι → ι → ι → ι → ι . ∀ x6 : ι → ι → ι → ι → ι → ι → ι . MetaCat_equalizer_struct_p x0 x1 x2 x3 x4 x5 x6 ⟶ ∀ x7 x8 x9 : ι → ι → ι . ∀ x10 : ι → ι → ι → ι → ι → ι . MetaCat_product_constr_p x0 x1 x2 x3 x7 x8 x9 x10 ⟶ MetaCat_pullback_struct_p x0 x1 x2 x3 (λ x11 x12 x13 x14 x15 . x4 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12))) (λ x11 x12 x13 x14 x15 . x3 (x4 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12))) (x7 x11 x12) x11 (x8 x11 x12) (x5 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12)))) (λ x11 x12 x13 x14 x15 . x3 (x4 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12))) (x7 x11 x12) x12 (x9 x11 x12) (x5 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12)))) (λ x11 x12 x13 x14 x15 x16 x17 x18 . x6 (x7 x11 x12) x13 (x3 (x7 x11 x12) x11 x13 x14 (x8 x11 x12)) (x3 (x7 x11 x12) x12 x13 x15 (x9 x11 x12)) x16 (x10 x11 x12 x16 x17 x18)) |
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