proposition: Lemma trivialTorsorAuto_mult (G:gr) (g h:G) : composeActionIso (trivialTorsorAuto G g) (trivialTorsorAuto G h) = (trivialTorsorAuto G (op g h)).
proof: Proof. intros. simple refine (subtypePath _ _). { intro; apply is_equivariant_isaprop. } { simple refine (subtypePath _ _). { intro; apply isapropisweq. } { apply funextsec; intro x; simpl. exact (assocax _ x g h). } } 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