proposition: Proposition FF_disp_functor_ff_inv {C₁ C₂ : category} {F : C₁ ⟶ C₂} {D₁ : disp_cat C₁} {D₂ : disp_cat C₂} {FF : disp_functor F D₁ D₂} (HFF : disp_functor_ff FF) {x y : C₁} {f : x --> y} {xx : D₁ x} {yy : D₁ y} (ff : FF x xx -->[ (#F f) ] FF y yy) : ♯FF (disp_functor_ff_inv FF HFF ff) = ff.
proof: Proof. apply (homotweqinvweq ((disp_functor_ff_weq FF HFF xx yy f))). Qed.
imports: UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.Core.Functors UniMath.CategoryTheory.Core.Isos UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Isos