Goal:
  
  A : Type
  p : A → bool
  a : A
  l : list A
  IHl : forallb p l → Forall (λ x : A, p x) l
  H : is_true (p a && forallb p l)
  ============================
   (Forall (λ x : A, p x) (a :: l))


DEBUG:Going to execute:
solve
[ do
![ solve
 [ trivial | apply : eq_sym ; trivial ]
 | discriminate
 | contradiction
 | Ltac.split ]
| case not_locked_false_eq_true; Ltac.assumption
| match goal with
  | H:¬ _ |- _ => solve [ case H; trivial ]
  end ]