proposition: Lemma fact1 (X Y:Torsor ℤ) (e : X=Y) : loop' X @ e = e @ loop' Y.
proof: Proof. induction e. apply pathscomp0rid. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Propositions UniMath.MoreFoundations.Equivalences UniMath.MoreFoundations.PathsOver UniMath.Algebra.Monoids UniMath.SyntheticHomotopyTheory.AffineLine UniMath.NumberSystems.Integers UniMath.Algebra.BinaryOperations UniMath.Algebra.GroupAction UniMath.Algebra.Groups