x : ap object_of (composition_of_helper_helper x) = idpath := path_functor_uncurried_fst _ _ _.
Require Import Category.Core Functor.Core Functor.Pointwise.Core NaturalTransformation.Core NaturalTransformation.Paths Functor.Composition.Core Functor.Identity Functor.Paths. Require Import PathGroupoids Types.Forall HoTT.Tactics. Require Import Basics.Tactics.