lemma ltprs_refl: reflexive … ltprs.
/2 width=1/ qed.
+lemma ltprs_strap1: ∀L1,L,L2. L1 ➡* L → L ➡ L2 → L1 ➡* L2.
+/2 width=3/ qed.
+
+lemma ltprs_strap2: ∀L1,L,L2. L1 ➡ L → L ➡* L2 → L1 ➡* L2.
+/2 width=3/ qed.
+
(* Basic inversion lemmas ***************************************************)
lemma ltprs_inv_atom1: ∀L2. ⋆ ➡* L2 → L2 = ⋆.