proposition: Corollary lawvere_to_morph_iso_functorial {a b} (f : F a ~{C}~> b) {a' b'} (i : a' ~> a) (j : b ~> b') : to lawvere_morph_iso (j ∘ f ∘ fmap[F] i) ≈ fmap[G] j ∘ to lawvere_morph_iso f ∘ i.
proof: Proof. now apply lawvere_to_functorial. Qed.
imports: Category.Lib Category.Theory.Category Category.Theory.Isomorphism Category.Theory.Functor Category.Theory.Natural.Transformation Category.Theory.Adjunction Category.Adjunction.Natural.Transformation Category.Adjunction.Natural.Transformation.Universal Category.Construction.Comma Category.Construction.Product Category.Instance.Cat Category.Instance.Fun Category.Instance.Sets