proposition: Lemma underlyingIso_injectivity {G:gr} {X Y:Action G} (e f:ActionIso X Y) : (e = f) ≃ (underlyingIso e = underlyingIso f).
proof: Proof. intros. apply weqonpathsincl. apply underlyingIso_incl. 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