Goal:
  
  A : Type
  B : Type
  x : A
  xs : list A
  ih : ∀ l' : list B, map2 (λ (x : A) (_ : B), x) xs l' = firstn #|l'| xs
  y : B
  ys : list B
  ============================
   (x :: map2 (λ (x : A) (_ : B), x) xs ys = x :: firstn #|ys| xs)


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 ]