Goal:
  
  T : Type -> Type
  M : Monad T
  A : Type
  P : A -> Type
  Q : A -> Type
  f : forall x : A, ∥ Q x ∥ -> T (∥ P x ∥)
  ============================
   (list A ->
    forall (a : A) (l : list A),
    ∥ All Q (a :: l) ∥ -> ∥ P a ∥ -> ∥ All P l ∥ -> ∥ All P (a :: l) ∥)


DEBUG:Going to execute:
simpl; intros; Tactics.destruct_all_rec_calls;
            repeat (Tactics.destruct_conjs; simpl proj1_sig in *); subst *;
            Tactics.autoinjections; try Tactics.discriminates;
            try (solve
             [ red; intros; Tactics.destruct_conjs; Tactics.autoinjections;
                Tactics.discriminates ])