Functor sig_obj A := Build_Functor sig_obj A (@pr1_type _ _) (fun s d m => m) (fun _ _ _ _ _ => idpath) (fun _ => idpath).
Require Import HoTT.Basics HoTT.Types. Require Import Category.Core Functor.Core Category.Sigma.Core. Require Import Functor.Paths. Import Functor.Identity.FunctorIdentityNotations. Import Functor.Composition.Core.FunctorCompositionCoreNotations.