]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_gcr.ma
milestone update in basic_2, update in ground and static_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / csx_gcr.ma
index 03970d35b9b85bd3fe03c077015806f1de354605..c75fddb61fa16ec7802ea6259bd69018d0e5ad76 100644 (file)
@@ -16,17 +16,19 @@ include "static_2/static/gcp_cr.ma".
 include "basic_2/rt_computation/csx_cnx_vector.ma".
 include "basic_2/rt_computation/csx_csx_vector.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
 
 (* Main properties with generic candidates of reducibility ******************)
 
-theorem csx_gcr: ∀h,o. gcr (cpx h) (tdeq h o) (csx h o) (csx h o).
-#h #o @mk_gcr //
-[ /3 width=1 by csx_applv_cnx/
-|2,3,6: /2 width=1 by csx_applv_beta, csx_applv_sort, csx_applv_cast/
-| /2 width=7 by csx_applv_delta/
-| #G #L #V1b #V2b #HV12b #a #V #T #H #HV
-  @(csx_applv_theta … HV12b) -HV12b
-  @csx_abbr //
+theorem csx_gcr:
+        gcr cpx teqx csx csx.
+@mk_gcr
+[ //
+| #G #L #Vs #Hvs #T #HT #H
+  @(csx_applv_cnx … H) -H // (**) (* auto fails *)
+| /2 width=1 by csx_applv_beta/
+| /2 width=7 by csx_applv_delta_drops/
+| /3 width=3 by csx_applv_theta, csx_abbr/
+| /2 width=1 by csx_applv_cast/
 ]
 qed.