- update in basic_2 and ground_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpds_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds_lift.ma
index 1dd32f7a044ad27f1b633f2e72e9f7dda803e96d..ad37046ed5223b594d72e6c07bdcacc448bbca6a 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/cpds_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/cpds_lift.ma
@@ -12,7 +12,8 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/unfold/sstas_lift.ma".
+include "basic_2/static/da_lift.ma".
+include "basic_2/unfold/lstas_lift.ma".
 include "basic_2/computation/cprs_lift.ma".
 include "basic_2/computation/cpds.ma".
 
@@ -20,17 +21,16 @@ include "basic_2/computation/cpds.ma".
 
 (* Relocation properties ****************************************************)
 
-lemma cpds_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K → ∀T1,U1. ⇧[d, e] T1 ≡ U1 →
-                 ∀h,g,T2. ⦃h, K⦄ ⊢ T1 •*➡*[g] T2 → ∀U2. ⇧[d, e] T2 ≡ U2 →
-                 ⦃h, L⦄ ⊢ U1 •*➡*[g] U2.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #T2 * #T
-elim (lift_total T d e) /3 width=11/
+lemma cpds_lift: ∀h,g,G,l. l_liftable (cpds h g l G).
+#h #g #G #l2 #K #T1 #T2 * #T #l1 #Hl21 #Hl1 #HT1 #HT2 #L #s #d #e
+elim (lift_total T d e)
+/3 width=15 by cprs_lift, da_lift, lstas_lift, ex4_2_intro/
 qed.
 
-lemma cpds_inv_lift1: ∀L,K,d,e. ⇩[d, e] L ≡ K →
-                      ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀h,g,U2. ⦃h, L⦄ ⊢ U1 •*➡*[g] U2 →
-                      ∃∃T2. ⇧[d, e] T2 ≡ U2 & ⦃h, K⦄ ⊢ T1 •*➡*[g] T2.
-#L #K #d #e #HLK #T1 #U1 #HTU1 #h #g #U2 * #U #HU1 #HU2
-elim (sstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HT1 #HTU
-elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L /3 width=5/
+lemma cpds_inv_lift1: ∀h,g,G,l. l_deliftable_sn (cpds h g l G).
+#h #g #G #l2 #L #U1 #U2 * #U #l1 #Hl21 #Hl1 #HU1 #HU2 #K #s #d #e #HLK #T1 #HTU1
+lapply (da_inv_lift … Hl1 … HLK … HTU1) -Hl1 #Hl1
+elim (lstas_inv_lift1 … HU1 … HLK … HTU1) -U1 #T #HTU #HT1
+elim (cprs_inv_lift1 … HU2 … HLK … HTU) -U -L
+/3 width=8 by ex4_2_intro, ex2_intro/
 qed-.