proposition: Lemma rootC_gt1 n x : (n > 0)%N -> (n.-root x > 1) = (x > 1).
proof: Proof. by move=> n_gt0; rewrite !lt_def rootC_eq1 ?rootC_ge1. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)