Goal:
  
  A : Type
  t' : A
  P : A → A → Type
  tl : list A
  tl' : list A
  X : OnOne2 P tl tl'
  IHX : ∀ n : nat,
          nth_error tl' n = Some t'
          → ∑ t : A, nth_error tl n = Some t × (t = t') + P t t'
  ============================
   (Some t' = Some t' × (t' = t') + P t' t')


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