Goal:
  
  A : Type
  B : Type
  C : Type
  R : A → C → Type
  g : A → B → C
  x : A
  xs : list A
  ih : ∀ l' : list B,
         All2 (λ (x : A) (y : B), R x (g x y)) xs l'
         → All2 R xs (map2 g xs l')
  y : B
  ys : list B
  r : R x (g x y)
  z : All2 (λ (x : A) (y : B), R x (g x y)) xs ys
  ============================
   (All2 R xs (map2 g xs ys))


DEBUG:Going to execute:
case not_locked_false_eq_true