Definition composeActionMap {G:gr} (X Y Z:Action G) (p:ActionMap X Y) (q:ActionMap Y Z) : ActionMap X Z. Proof. revert p q; intros [p i] [q j]. exists (funcomp p q). apply is_equivariant_comp. assumption. assumption. Defined.
Require Import UniMath.Foundations.All. Require Import UniMath.MoreFoundations.Propositions. Require Import UniMath.MoreFoundations.Notations. Require Import UniMath.MoreFoundations.Univalence. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.Algebra.Monoids. Require Import UniMath.Algebra.Groups. Require Import UniMath.OrderTheory.OrderedSets.OrderedSets. Import UniMath.MoreFoundations.PartA.