Goal:
  
  G : t
  A : Type
  B : Type
  f : A -> B -> A
  g : B -> bool
  a : B
  l : list B
  acc : A
  IHl : forall acc : A,
        fold_left f (filter g l) acc =
        fold_left (fun (acc0 : A) (x : B) => if g x then f acc0 x else acc0)
          l acc
  ============================
   (fold_left f (filter g l) (f acc a) =
    fold_left (fun (acc : A) (x : B) => if g x then f acc x else acc) l
      (f acc a))


DEBUG:Going to execute:
trivial; hnf; intros; (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 ])