(* *)
(**************************************************************************)
-include "basic_2/unfold/ltpsss_ltpsss.ma".
+include "basic_2/unfold/ltpss_ltpss.ma".
include "basic_2/reducibility/cpr.ma".
include "basic_2/reducibility/lcpr.ma".
lemma lcpr_pair: ∀L1,L2. L1 ⊢ ➡ L2 → ∀V1,V2. L2 ⊢ V1 ➡ V2 →
∀I. L1. ⓑ{I} V1 ⊢ ➡ L2. ⓑ{I} V2.
#L1 #L2 * #L #HL1 #HL2 #V1 #V2 *
-<(ltpsss_fwd_length … HL2) /4 width=5/
+<(ltpss_fwd_length … HL2) /4 width=5/
qed.
+
+lemma ltpss_lcpr: ∀L1,L2,d,e. L1 ▶* [d, e] L2 → L1 ⊢ ➡ L2.
+#L1 #L2 #d #e #H elim H -L1 -L2 -d -e // /3 width=3/
+qed.