proposition: Lemma postcomp_transportf (C : two_cat) {x y : pr1 C} {f g h: x --> y} (p : f = g) (α : two_cat_cells _ g h) : TwoCategories.vcomp2 (transportf (two_cat_cells _ f) p (TwoCategories.id2 f)) α = transportb (λ z, two_cat_cells _ z h) p α.
proof: Proof. induction p. cbn. unfold idfun. rewrite TwoCategories.id2_left. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.TwoCategories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Categories.HSET.All UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Unitors UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Morphisms.Adjunctions UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.TransportLaws