proposition: Lemma total_pstrans_laws (αα : disp_pstrans) : is_pstrans (total_pstrans_data αα).
proof: Proof. repeat apply make_dirprod; intro; intros. - use total2_paths_b; [apply (psnaturality_natural α) | apply αα]. - use total2_paths_b; [apply (pstrans_id α) | apply αα]. - use total2_paths_b. 2: apply αα. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Examples.Initial UniMath.Bicategories.Core.Examples.Final UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.Univalence UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.DisplayedBicats.DispInvertibles UniMath.Bicategories.DisplayedBicats.DispAdjunctions UniMath.Bicategories.DisplayedBicats.DispUnivalence UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Examples.Identity UniMath.Bicategories.PseudoFunctors.Examples.Composition UniMath.Bicategories.Transformations.PseudoTransformation UniMath.Bicategories.Transformations.Examples.Whiskering UniMath.Bicategories.Transformations.Examples.Unitality UniMath.Bicategories.Transformations.Examples.Associativity UniMath.Bicategories.DisplayedBicats.DispPseudofunctor