Definition Par_strict_tagged A B C D := Par_strict A B C D.

(* Specifications: *)
Lemma Par_strict_Par_strict_tagged : forall A B C D, Par_strict A B C D -> Par_strict_tagged A B C D.
Lemma Par_strict_tagged_Par_strict : forall A B C D, Par_strict_tagged A B C D -> Par_strict A B C D.