Goal:
    T : Type -> Type
  ============================
   (Monad T ->
    forall (A : Type) (P : nat -> A -> Type) (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:
intro || (let H := fresh in
                     intro
                     H)
DEBUG LTAC Evaluated term: (forall (A : Type) (P : nat -> A -> Type)
                              (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 LTAC Evaluated term: Prop