proposition: Lemma order_gt1 x : (#[x] > 1) = (x != 1).
proof: Proof. by rewrite ltnNge -trivg_card_le1 cycle_eq1. Qed.
imports: HB(structures) mathcomp(ssreflect ssrbool ssrfun eqtype ssrnat seq choice) mathcomp(fintype div path tuple bigop prime finset)