proposition: Proposition transportf_disp_mor2_idpath {D : twosided_disp_cat} {x₁ x₂ : C₁} {y₁ y₂ : C₂} {xy₁ : D x₁ y₁} {xy₂ : D x₂ y₂} {f : x₁ --> x₂} (p : f = f) {g : y₁ --> y₂} (q : g = g) (fg : xy₁ -->[ f ][ g ] xy₂) : transportf_disp_mor2 p q fg = fg.
proof: Proof. assert (p = idpath _) as h₁. { apply homset_property. } assert (q = idpath _) as h₂. { apply homset_property. } rewrite h₁, h₂ ; cbn. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Categories UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.PrecategoryBinProduct