Goal:
  
  A : Type
  B : Type
  C : Type
  D : Type
  R : C → D → Type
  f : A → C
  g : B → D
  a : A
  l : list A
  IHl : ∀ l' : list B,
          All2 R (map f l) (map g l')
          → All2 (λ (x : A) (y : B), R (f x) (g y)) l l'
  H : All2 R (map f (a :: l)) (map g [])
  ============================
   (All2 (λ (x : A) (y : B), R (f x) (g y)) (a :: l) [])


DEBUG:Going to execute:
fun H =>
             match goal with
             | H':_ |- _ => match H' with
                            | H => idtac
                            end
             end