fact: Definition catiso_inv_mor {y₁ y₂ : D} (f : y₁ --> y₂) : catiso_inv_ob y₁ --> catiso_inv_ob y₂ := fully_faithful_inv_hom catiso_to_fully_faithful _ _ (idtoiso (catiso_catiso_inv_ob y₁) · f · idtoiso (!(catiso_catiso_inv_ob y₂))).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.Foundations.UnivalenceAxiom UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.whiskering UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Equivalences.FullyFaithful