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'
  ============================
   (∑ t' : A, Some t = Some t' × (t = t') + P t t')


DEBUG:Going to execute:
<coq-core.plugins.ltac::exists@1> $1