fact: Definition functor_nat_trans_preserves (αC : associator TC) (αD : associator TD) {F : functor C D} {FF : functor_tensorunit_disp_cat TC TD IC ID F} (FF_iso : is_nat_z_iso (pr11 FF)) : UU := functor_ass_ntrans2 αC αD FF_iso = functor_ass_ntrans1 αC αD FF_iso.
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.whiskering UniMath.CategoryTheory.PrecategoryBinProduct UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.DisplayedCats.Univalence UniMath.CategoryTheory.Monoidal.AlternativeDefinitions.MonoidalCategoriesTensored