Goal:
  
  A : Type
  P : nat → A → A → Type
  i : nat
  hd : A
  hd' : A
  tl : list A
  p : P i hd hd'
  ============================
   (P i hd hd' × hd :: tl = [] ++ hd :: tl ∧ hd' :: tl = [] ++ hd' :: tl)


DEBUG:Going to execute:
fun => <coq-core.plugins.tauto::reduction_not_iff@0>