X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_vector.ma;h=faad2323aacbb97c37ef93c852bf34cc6b4041e1;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=f4b85eb9d2566f8a40a64921f16e58a33ead0b26;hpb=f308429a0fde273605a2330efc63268b4ac36c99;p=helm.git

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 f4b85eb9d..faad2323a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_vector.ma
@@ -15,26 +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. relation3 genv lenv (list term) ≝
-                 λh,G,L. 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⦄ ⊢ ⬈*[h] 𝐒⦃T⨮Ts⦄ →
-                     ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃T⦄ ∧ ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃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⦄ ⊢ ⬈*[h] 𝐒⦃ⒶVs.T⦄ →
-                     ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃Vs⦄ ∧ ⦃G,L⦄ ⊢ ⬈*[h] 𝐒⦃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