Definition transportf_functor_isotoid {C₁ C₂ : category} (HC₁ : is_univalent C₁) (F : C₁ ⟶ C₂) {y : C₂} {x₁ x₂ : C₁} (i : z_iso x₁ x₂) (f : F x₁ --> y) : transportf (λ z, F z --> y) (isotoid _ HC₁ i) f = #F (inv_from_z_iso i) · 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.