proposition: Proposition make_pstrans_from_cat_laws : is_pstrans make_pstrans_from_cat_data.
proof: Proof. repeat split. - cbn ; intros x y f g p. induction p. etrans. { apply maponpaths_2. apply maponpaths. refine (_ @ psfunctor_id2 G f). apply maponpaths. apply homset_property. } rewrite lwhisker_id2. rewrite id2_left. refine (!_). etrans. { do 2 apply maponpaths. refine (_ @ psfunctor_id2 F f). apply maponpaths. apply homset_property. } rewrite id2_rwhisker. rewrite id2_right. apply idpath. - exact τid. - exact τc. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.OppositeCategory.Core UniMath.CategoryTheory.IndexedCategories.IndexedCategory UniMath.CategoryTheory.IndexedCategories.IndexedFunctor UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Discreteness UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Examples.BicatOfUnivCats UniMath.Bicategories.Core.Examples.DiscreteBicat UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.PseudoFunctorsIntoCat UniMath.Bicategories.Transformations.PseudoTransformation