fact: Definition is_equivariant_identity {G:gr} {X Y:Action G} (p:ac_set X = ac_set Y) : p # ac_str X = ac_str Y ≃ is_equivariant (cast (maponpaths pr1hSet p)).
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