Definition post_comp_data {B : bicat} (z : B) {a b : B} (f : a --> b) : functor_data (hom z a) (hom z b). Proof. use make_functor_data. - exact (λ g, g · f). - exact (λ g₁ g₂ α, α ▹ f). Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.All. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.NaturalTransformations. Require Import UniMath.CategoryTheory.PrecategoryBinProduct.