fact: Definition opp_MorphismPairIsomorphism {M:precategory} {P Q: @MorphismPair M} : MorphismPairIsomorphism P Q -> MorphismPairIsomorphism (MorphismPair_opp Q) (MorphismPair_opp P) := λ f, opp_z_iso (pr122 f),, opp_z_iso (pr12 f),, opp_z_iso (pr1 f),, (pr22 (pr222 f),,pr12 (pr222 f)),, (pr21 (pr222 f),,pr11 (pr222 f)).
imports: UniMath.Foundations.PartD UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.Notations UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Limits.Zero UniMath.CategoryTheory.Limits.Opp