Lemma composeActionIsoId' {G:gr} {X Y:Action G} (f : ActionIso X Y) : composeActionIso f (idActionIso Y) = f. Proof. apply subtypePath. { intros g. apply propproperty. } apply subtypePath. { intros g. apply isapropisweq. } reflexivity. 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.