proposition: Lemma transportf_functor_isotoid' {C₁ C₂ : category} (HC₁ : is_univalent C₁) (F : C₁ ⟶ C₂) {y : C₂} {x₁ x₂ : C₁} (i : z_iso x₁ x₂) (f : y --> F x₁) : transportf (λ z, y --> F z) (isotoid _ HC₁ i) f = f · #F i.
proof: Proof. rewrite <- idtoiso_functor_precompose'. rewrite maponpaths_idtoiso. rewrite idtoiso_isotoid. apply idpath. Qed.
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.TransportMorphisms UniMath.CategoryTheory.Core.Univalence