Definition Mbind2 {A B C:Type} (mab:monad (A*B)) (f:A→B→monad C) :=
  (λ st, let (st',ab):= Meval mab st in let m':=f (fst ab) (snd ab) in m' st'):monad C.Infix ">>==" := Mbind2 (at level 15, left associativity) : monad_scope.

Lemma all_lt_lm_to_ml_le {A:Type} (lm:list (monad A)): (Forall Mlt lm) → Mle (lm_to_ml lm).