Goal:
    T : Type -> Type
  ============================
   (Monad T ->
    forall (A : Type) (P Q : A -> Type),
    (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:
<coq-equations.plugin::simplify@0> $1