proposition: Proposition isaprop_double_functor_runitor {C₁ C₂ : category} {F : C₁ ⟶ C₂} {D₁ : twosided_disp_cat C₁ C₁} {D₂ : twosided_disp_cat C₂ C₂} {I₁ : hor_id D₁} {Cm₁ : hor_comp D₁} {I₂ : hor_id D₂} {Cm₂ : hor_comp D₂} (r₁ : double_cat_runitor I₁ Cm₁) (r₂ : double_cat_runitor I₂ Cm₂) {FF : twosided_disp_functor F F D₁ D₂} (FI : double_functor_hor_id FF I₁ I₂) (FC : double_functor_hor_comp FF Cm₁ Cm₂) : isaprop (double_functor_runitor r₁ r₂ FI FC).
proof: Proof. repeat (use impred ; intro). apply isaset_disp_mor. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics