proposition: Lemma expand_ψ_φ {a b} (f : F a ~> b) : ψ E (φ E ((a, b); f)) ≈ ψ E ((fst `1 (φ E ((a, b); f)), snd `1 (φ E ((a, b); f))); `2 (φ E ((a, b); f))).
proof: Proof. now rewrite surjective_tripleG. 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