Goal:
    A : Type  P : A → Prop  l : list A  p : A → bool
  ============================
   (forallb p l → (∀ x : A, p x → P x) → Forall P l)


DEBUG:Going to execute:
induction l in p |- *

Goals:
    A : Type  P : A → Prop  p : A → bool
  ============================
   (forallb p [] → (∀ x : A, p x → P x) → Forall P [])

  
  A : Type
  P : A → Prop
  a : A
  l : list A
  p : A → bool
  IHl : ∀ p : A → bool, forallb p l → (∀ x : A, p x → P x) → Forall P l
  ============================
   (forallb p (a :: l) → (∀ x : A, p x → P x) → Forall P (a :: l))


DEBUG:Going to execute:
simpl
DEBUG LTAC Evaluated term: l