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)
  v : A
  H : hd = v
  ============================
   ((Some hd = Some v) + (Some hd = None ∧ v = d))%type


DEBUG:Going to execute:
do
![ solve
 [ trivial | apply : eq_sym ; trivial ]
 | discriminate
 | contradiction
 | Ltac.split ]