proposition: Proposition cod_fib_terminal_to_base_laws : is_functor cod_fib_terminal_to_base_data.
proof: Proof. split. - intro x ; cbn. apply idpath. - intro ; intros ; cbn ; unfold dom_mor. rewrite transportf_cod_disp. cbn. apply idpath. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.Limits.Terminal UniMath.CategoryTheory.Limits.Pullbacks UniMath.CategoryTheory.DisplayedCats.Core UniMath.CategoryTheory.DisplayedCats.Fibrations UniMath.CategoryTheory.DisplayedCats.Fiber UniMath.CategoryTheory.DisplayedCats.Codomain