Goal:
  
  A : Type
  P : nat → A → A → Type
  i : nat
  hd : A
  tl : list A
  tl' : list A
  h : OnOne2i P (S i) tl tl'
  i' : nat
  x : A
  y : A
  u : list A
  v : list A
  p : P i' x y × tl = u ++ x :: v ∧ tl' = u ++ y :: v
  ============================
   (P i' x y
    × hd :: tl = (hd :: u) ++ x :: v ∧ hd :: tl' = (hd :: u) ++ y :: v)


DEBUG:Going to execute:
repeat
            match goal with
            | |- ?X1 → ?X2 => intro
            | |- ¬ _ => unfold not at 1; intro
            end