(* *)
(**************************************************************************)
-include "basic_2/unfold/ltpss_ltpss.ma".
+include "basic_2/unfold/ltpss_sn_ltpss_sn.ma".
include "basic_2/reducibility/cpr.ma".
(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
(* Properties concerning partial unfold on local environments ***************)
-lemma ltpss_cpr_trans: ∀L1,L2,d,e. L1 ▶* [d, e] L2 →
- ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡ T2.
+lemma ltpss_sn_cpr_trans: ∀L1,L2,d,e. L1 ⊢ ▶* [d, e] L2 →
+ ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡ T2.
#L1 #L2 #d #e #HL12 #T1 #T2 *
-lapply (ltpss_weak_all … HL12)
-<(ltpss_fwd_length … HL12) -HL12 /3 width=5/
+lapply (ltpss_sn_weak_all … HL12)
+<(ltpss_sn_fwd_length … HL12) -HL12 /3 width=5/
qed.