proposition: Lemma disp_actionbicat_disp_mor_eq {a0 a0' : B} {FA : V ⟶ category_from_bicat_and_ob a0} {FAm : fmonoidal Mon_V (monoidal_from_bicat_and_ob a0) FA} {FA' : V ⟶ category_from_bicat_and_ob a0'} {FA'm : fmonoidal Mon_V (monoidal_from_bicat_and_ob a0') FA'} {G : B ⟦ a0, a0' ⟧} (pm1 pm2: disp_actionbicat_disp_mor FAm FA'm G): pr1 pm1 = pr1 pm2 -> pm1 = pm2.
proof: Proof. intro Hyp. apply subtypePath. - intro δ. apply isapropdirprod. + apply isaprop_param_distr_bicat_triangle_eq. + apply isaprop_param_distr_bicat_pentagon_eq. - exact Hyp. Qed.
imports: UniMath.Foundations.PartD UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.Core.NaturalTransformations UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Total UniMath.CategoryTheory.DisplayedCats.Constructions UniMath.CategoryTheory.Monoidal.Categories UniMath.CategoryTheory.Monoidal.WhiskeredBifunctors UniMath.CategoryTheory.Monoidal.Functors UniMath.CategoryTheory.Monoidal.Displayed.WhiskeredDisplayedBifunctors UniMath.CategoryTheory.Monoidal.Displayed.Monoidal UniMath.CategoryTheory.Monoidal.Displayed.TotalMonoidal UniMath.Bicategories.MonoidalCategories.EndofunctorsWhiskeredMonoidal UniMath.Bicategories.MonoidalCategories.WhiskeredMonoidalFromBicategory UniMath.Bicategories.MonoidalCategories.ActionBasedStrongFunctorsWhiskeredMonoidal UniMath.Bicategories.Core.Bicat UniMath.Bicategories.Core.BicategoryLaws UniMath.Bicategories.Core.Unitors UniMath.Bicategories.DisplayedBicats.DispBicat UniMath.Bicategories.Core.Invertible_2cells