proposition: Lemma eq_isotoid {C : univalent_category} {X Y : C} (f : z_iso X Y) (p : X = Y) : f = idtoiso p → isotoid C (pr2 C) f = p.
proof: Proof. intro H. rewrite H. apply isotoid_idtoiso. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Groupoids UniMath.CategoryTheory.Categories.StandardCategories UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.Invertible_2cells UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.PseudoFunctors.Display.PseudoFunctorBicat UniMath.Bicategories.PseudoFunctors.Display.Base UniMath.Bicategories.PseudoFunctors.Display.Map1Cells UniMath.Bicategories.PseudoFunctors.Display.Map2Cells UniMath.Bicategories.PseudoFunctors.Display.StrictIdentitor UniMath.Bicategories.PseudoFunctors.Display.StrictCompositor UniMath.Bicategories.PseudoFunctors.PseudoFunctor UniMath.Bicategories.PseudoFunctors.Biequivalence UniMath.Bicategories.PseudoFunctors.Examples.Identity UniMath.Bicategories.PseudoFunctors.Examples.Composition UniMath.Bicategories.PseudoFunctors.Biadjunction UniMath.Bicategories.Transformations.PseudoTransformation UniMath.Bicategories.Transformations.Examples.Whiskering UniMath.Bicategories.Transformations.Examples.Unitality UniMath.Bicategories.Transformations.Examples.Associativity UniMath.Bicategories.Modifications.Modification UniMath.Bicategories.Core.Examples.OneTypes UniMath.Bicategories.Core.Examples.Groupoids UniMath.Bicategories.Core.Examples.BicatOfUnivCats