proposition: Lemma Strong_Functor_Category_Mor_eq (FF GG : actionbased_strong_functor Mon_V actn actn') (sη sη' : Strong_Functor_Category_Mor FF GG) : pr1 sη = pr1 sη' -> sη = sη'.
proof: Proof. intros H. apply subtypePath; trivial. now intros α; repeat (apply impred; intro); apply homset_property. Qed.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.SIP UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Core.Univalence UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored UniMath.Bicategories.MonoidalCategories.Actions UniMath.Bicategories.MonoidalCategories.ActionBasedStrength