proposition: Fact dual_le_anti : antisymmetric (@ge _ T).
proof: Proof. by move=> x y /andP [xy yx]; apply/le_anti/andP; split. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)