proposition: Lemma conjMg x y z : (x * y) ^ z = x ^ z * y ^ z.
proof: Proof. by rewrite !conjgE !mulgA mulgK. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype div path tuple bigop prime finset)