proposition: Lemma underlyingAction_injectivity {G:gr} {X Y:Torsor G} : (X = Y) ≃ (underlyingAction X = underlyingAction Y).
proof: Proof. intros. apply weqonpathsincl. apply underlyingAction_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