(fun x => G' o G o x o (F' o F)) = (fun x => G' o (G o x o F') o F). Proof. apply path_forall; intro x. apply composition_of_helper_helper. Defined.
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.