proposition: Proposition isaset_twosided_disp_functor {C₁ C₁' C₂ C₂' : category} (F : C₁ ⟶ C₁') (G : C₂ ⟶ C₂') (D : strict_twosided_disp_cat C₁ C₂) (D' : strict_twosided_disp_cat C₁' C₂') : isaset (twosided_disp_functor F G D D').
proof: Proof. use isaset_total2. - use isaset_total2. + repeat (use impred_isaset ; intro). apply is_strict_strict_twosided_disp_cat. + intro f ; cbn. repeat (use impred_isaset ; intro). apply isaset_disp_mor. - intro FG. use isasetaprop. apply isaprop_twosided_disp_functor_laws. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Core.Setcategories UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.DisplayedFunctor UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.CategoryTheory.TwoSidedDisplayedCats.Total