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