Goal:
    A : Type  R : ReflectEq A  x : A  y : A  Heq_anonymous : false = (x == y)
  ============================
   (x <> y)


DEBUG:Going to execute:
intros; CoreTactics.destruct_all_rec_calls; simpl in *;
            try progress (CoreTactics.reverse; simplify_equalities)