Goal:
  
  A : Type
  B : Type
  C : Type
  R : A → C → Type
  g : A → B → C
  x : A
  xs : list A
  ih : ∀ l' : list B,
         #|xs| = #|l'|
         → All2 R xs (map2 g xs l')
           → All2 (λ (x : A) (y : B), R x (g x y)) xs l'
  ============================
   (S #|xs| = 0
    → All2 R (x :: xs) []
      → All2 (λ (x : A) (y : B), R x (g x y)) (x :: xs) [])


DEBUG:Going to execute:
trivial; hnf; intros