milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma
index ab7046fd1719b2ae2c96081b9d7a8d0e1f19c02b..faad2323aacbb97c37ef93c852bf34cc6b4041e1 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma
@@ -15,28 +15,28 @@
 include "static_2/syntax/term_vector.ma".
 include "basic_2/rt_computation/csx.ma".
 
-(* STRONGLY NORMALIZING TERMS VECTORS FOR UNBOUND PARALLEL RT-TRANSITION ****)
+(* STRONGLY NORMALIZING TERMS VECTORS FOR EXTENDED PARALLEL RT-TRANSITION ***)
 
-definition csxv (h) (G) (L): predicate (list term) ≝
-           all … (csx h G L).
+definition csxv (G) (L): predicate (list term) ≝
+           all … (csx G L).
 
 interpretation
-   "strong normalization for unbound context-sensitive parallel rt-transition (term vector)"
-   'PRedTyStrong h G L Ts = (csxv h G L Ts).
+  "strong normalization for extended context-sensitive parallel rt-transition (term vector)"
+  'PRedTyStrong G L Ts = (csxv G L Ts).
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma csxv_inv_cons (h) (G) (L):
-      ∀T,Ts. ❪G,L❫ ⊢ ⬈*𝐒[h] T⨮Ts →
-      ∧∧ ❪G,L❫ ⊢ ⬈*𝐒[h] T & ❪G,L❫ ⊢ ⬈*𝐒[h] Ts.
+lemma csxv_inv_cons (G) (L):
+      ∀T,Ts. ❪G,L❫ ⊢ ⬈*𝐒 T⨮Ts →
+      ∧∧ ❪G,L❫ ⊢ ⬈*𝐒 T & ❪G,L❫ ⊢ ⬈*𝐒 Ts.
 normalize // qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma csx_fwd_applv (h) (G) (L):
-      ∀T,Vs. ❪G,L❫ ⊢ ⬈*𝐒[h] ⒶVs.T →
-      ∧∧ ❪G,L❫ ⊢ ⬈*𝐒[h] Vs & ❪G,L❫ ⊢ ⬈*𝐒[h] T.
-#h #G #L #T #Vs elim Vs -Vs /2 width=1 by conj/
+lemma csx_fwd_applv (G) (L):
+      ∀T,Vs. ❪G,L❫ ⊢ ⬈*𝐒 ⒶVs.T →
+      ∧∧ ❪G,L❫ ⊢ ⬈*𝐒 Vs & ❪G,L❫ ⊢ ⬈*𝐒 T.
+#G #L #T #Vs elim Vs -Vs /2 width=1 by conj/
 #V #Vs #IHVs #HVs
 lapply (csx_fwd_pair_sn … HVs) #HV
 lapply (csx_fwd_flat_dx … HVs) -HVs #HVs