(* *)
(**************************************************************************)
-include "basic_2/unfold/ltpss_ltpss.ma".
+include "basic_2/unfold/ltpss_sn_alt.ma".
include "basic_2/unfold/delift.ma".
(* INVERSE BASIC TERM RELOCATION *******************************************)
-(* Properties on partial unfold on local environments ***********************)
+(* Properties on sn partial unfold on local environments ********************)
-lemma delift_ltpss_conf_eq: ∀L,T1,T2,d,e. L ⊢ T1 [d, e] ≡ T2 →
- ∀K. L [d, e] ▶* K → K ⊢ T1 [d, e] ≡ T2.
+lemma delift_ltpss_sn_conf_eq: ∀L,T1,T2,d,e. L ⊢ ▼*[d, e] T1 ≡ T2 →
+ ∀K. L ⊢ ▶* [d, e] K → K ⊢ ▼*[d, e] T1 ≡ T2.
#L #T1 #T2 #d #e * #T #HT1 #HT2 #K #HLK
-elim (ltpss_tpss_conf … HT1 … HLK) -L #T0 #HT10 #HT0
+elim (ltpss_sn_tpss_conf … HT1 … HLK) -HT1 -HLK #T0 #HT10 #HT0
lapply (tpss_inv_lift1_eq … HT0 … HT2) -HT0 #H destruct /2 width=3/
qed.
-lemma ltpss_delift_trans_eq: ∀L,K,d,e. L [d, e] ▶* K →
- ∀T1,T2. K ⊢ T1 [d, e] ≡ T2 → L ⊢ T1 [d, e] ≡ T2.
+lemma ltpss_sn_delift_trans_eq: ∀L,K,d,e. L ⊢ ▶* [d, e] K →
+ ∀T1,T2. K ⊢ ▼*[d, e] T1 ≡ T2 → L ⊢ ▼*[d, e] T1 ≡ T2.
#L #K #d #e #HLK #T1 #T2 * #T #HT1 #HT2
-lapply (ltpss_tpss_trans_eq … HT1 … HLK) -K /2 width=3/
+lapply (ltpss_sn_tpss_trans_eq … HT1 … HLK) -K /2 width=3/
qed.