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


DEBUG:Going to execute:
<coq-equations.plugin::simplify@0> $1