Goal:
  
  A : Type
  d : A
  hd : A
  tl : list A
  IH : ∀ (i : nat) (v : A),
         nth i tl d = v
         → (nth_error tl i = Some v) + (nth_error tl i = None ∧ v = d)
  ============================
   (Some hd = Some hd)


DEBUG:Going to execute:
solve
[ trivial
with eq_true
| reflexivity
| symmetry; trivial
| contradiction
| congruence ]