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


DEBUG:Going to execute:
induction 1

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

  
  A : Type
  P : A → Prop
  p : A → bool
  Hp : ∀ x : A, reflect (P x) (p x)
  x : A
  l : list A
  H : P x
  H0 : Forall P l
  IHForall : is_true (forallb p l)
  ============================
   (is_true (forallb p (x :: l)))


DEBUG:Going to execute:
rewrite /= // IHForall // andb_true_r