proposition: Lemma real_ltNge : {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)