update in basic_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 7d23b2f92f414d2e4bcbda29f78d21c288405c7a..ab7046fd1719b2ae2c96081b9d7a8d0e1f19c02b 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
@@ -12,29 +12,31 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/syntax/term_vector.ma".
-include "basic_2/computation/csx.ma".
+include "static_2/syntax/term_vector.ma".
+include "basic_2/rt_computation/csx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERM VECTORS *************)
+(* STRONGLY NORMALIZING TERMS VECTORS FOR UNBOUND PARALLEL RT-TRANSITION ****)
 
-definition csxv: ∀h. sd h → relation3 genv lenv (list term) ≝
-                 λh,o,G,L. all … (csx h o G L).
+definition csxv (h) (G) (L): predicate (list term) ≝
+           all … (csx h G L).
 
 interpretation
-   "context-sensitive strong normalization (term vector)"
-   'SN h o G L Ts = (csxv h o G L Ts).
+   "strong normalization for unbound context-sensitive parallel rt-transition (term vector)"
+   'PRedTyStrong h G L Ts = (csxv h G L Ts).
 
 (* Basic inversion lemmas ***************************************************)
 
-lemma csxv_inv_cons: ∀h,o,G,L,T,Ts. ⦃G, L⦄ ⊢ ⬊*[h, o] T @ Ts →
-                     ⦃G, L⦄ ⊢ ⬊*[h, o] T ∧ ⦃G, L⦄ ⊢ ⬊*[h, o] Ts.
+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.
 normalize // qed-.
 
 (* Basic forward lemmas *****************************************************)
 
-lemma csx_fwd_applv: ∀h,o,G,L,T,Vs. ⦃G, L⦄ ⊢ ⬊*[h, o] Ⓐ Vs.T →
-                     ⦃G, L⦄ ⊢ ⬊*[h, o] Vs ∧ ⦃G, L⦄ ⊢ ⬊*[h, o] T.
-#h #o #G #L #T #Vs elim Vs -Vs /2 width=1 by conj/
+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/
 #V #Vs #IHVs #HVs
 lapply (csx_fwd_pair_sn … HVs) #HV
 lapply (csx_fwd_flat_dx … HVs) -HVs #HVs