Definition path_functor_mor {C₁ C₂ : category} {F G : C₁ ⟶ C₂} (p : F = G) {x y : C₁} (f : x --> y) : #F f · idtoiso (path_functor_ob p y) = idtoiso (path_functor_ob p x) · #G f.
Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets. Require Import UniMath.MoreFoundations.PartA. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.TransportMorphisms. Require Import UniMath.CategoryTheory.Core.Univalence.