proposition: Lemma composeActionIsoId {G:gr} {X Y:Action G} (f : ActionIso X Y) : composeActionIso (idActionIso X) f = f.
proof: Proof. apply subtypePath. { intros g. apply propproperty. } apply subtypePath. { intros g. apply isapropisweq. } reflexivity. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Notations UniMath.MoreFoundations.Univalence UniMath.MoreFoundations.Tactics UniMath.Algebra.Monoids UniMath.Algebra.Groups UniMath.Combinatorics.OrderedSets