proposition: Proposition make_is_left_lifting {h : z --> y} (τ : f ==> h · g) (F : ∏ (k : z --> y) (θ : f ==> k · g), h ==> k) (HF₁ : ∏ (k : z --> y) (θ : h ==> k), F k (τ • (θ ▹ g)) = θ) (HF₂ : ∏ (k : z --> y) (θ : f ==> k · g), τ • (F k θ ▹ g) = θ) : is_left_lifting τ.
proof: Proof. intros k. use isweq_iso. - exact (F k). - exact (HF₁ k). - exact (HF₂ k). Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.OpMorBicat UniMath.Bicategories.Core.Examples.OpCellBicat