proposition: Fact le_total : total le.
proof: Proof. by move=> x y; rewrite !le_def; case: eqVneq => //; exact: lt_total. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)