proposition: Lemma real_leNgt : {in real &, forall x y, (x <= y) = ~~ (y < x)}.
proof: Proof. by move=> x y xR yR /=; case: real_leP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(ssrAC div fintype path bigop order finset fingroup) mathcomp(ssralg poly)