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- we introduced the pointer_step rc in the perspective of proving
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / unfold / delift_ltpss.ma
index 02efff1fab813c8379922ee105df2389270bfedf..a0ac3cf479fbcb2c89c66dda8b8e4deb4ceaffc8 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-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.