Goal:
  
  A : Type
  P : nat → A → Type
  f : nat → A → A
  n : nat
  H : ∀ (n : nat) (x : A), P n x → f n x = x
  ============================
   ([] = [])


DEBUG:Going to execute:
match reverse goal with
           | |- ?X1 => <Coq.Init.Tauto.is_unit_or_eq> flags X1; constructor 1
           | H:?X1 |- _ => <Coq.Init.Tauto.is_empty> flags X1; elim H
           | _ => Ltac.assumption
           end