proposition: Fact meet_def_le x y : meet x y = if lt x y then x else y.
proof: Proof. by rewrite meet_def lt_def; case: eqP. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat choice seq) mathcomp(path fintype tuple bigop finset div prime finfun) mathcomp(finset)