proposition: Lemma lift_permV : forall n i j s, (@lift_perm n i j s)^-1%g = lift_perm j i s^-1.
proof: Proof. by move=> n i j s; apply/eqP; rewrite eq_invg_mul lift_permM mulgV lift_perm1. Qed.
imports: ssreflect ssrbool ssrfun eqtype ssrnat seq choice fintype finfun bigops ssralg groups perm zmodp morphisms Ring RingClass bigopsClass Setoid Morphisms