Goal:
  
  A : Type
  B : Type
  C : Type
  f : A → B → C
  a : A
  l0 : list A
  l0' : list A
  l1' : list B
  IHl0 : ∀ (l0' : list A) (l1 l1' : list B),
           #|l0| = #|l1|
           → #|l0'| = #|l1'|
             → map2 f (l0 ++ l0') (l1 ++ l1') =
               map2 f l0 l1 ++ map2 f l0' l1'
  ============================
   (S #|l0| = 0
    → #|l0'| = #|l1'|
      → match l1' with
        | [] => []
        | hd' :: tl' => f a hd' :: map2 f (l0 ++ l0') tl'
        end = map2 f l0' l1')


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 ])