X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_cnx.ma;h=dfb86156af00378d79ae74ce1a266575aee9558f;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=24320b69feb4ff24d47962c69f4324ce1fdd2ed2;hpb=f129bbbfda0e65a5f92ec086246f6e288376d4f9;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
index 24320b69f..dfb86156a 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_cnx.ma
@@ -12,26 +12,20 @@
 (*                                                                        *)
 (**************************************************************************)
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
-
 include "basic_2/rt_transition/cnx.ma".
 include "basic_2/rt_computation/csx.ma".
 
-(* Properties with normal terms for unbound parallel rt-transition **********)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
+
+(* Properties with normal terms for extended parallel rt-transition *********)
 
 (* Basic_1: was just: sn3_nf2 *)
-lemma cnx_csx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃T⦄.
+lemma cnx_csx (G) (L):
+      ∀T. ❪G,L❫ ⊢ ⬈𝐍 T → ❪G,L❫ ⊢ ⬈*𝐒 T.
 /2 width=1 by NF_to_SN/ qed.
 
 (* Advanced properties ******************************************************)
 
-lemma csx_sort: ∀h,o,G,L,s. ⦃G, L⦄ ⊢ ⬈*[h, o] 𝐒⦃⋆s⦄.
-#h #o #G #L #s elim (deg_total h o s)
-#d generalize in match s; -s elim d -d
-[ /3 width=3 by cnx_csx, cnx_sort/
-| #d #IH #s #Hsd lapply (deg_next_SO … Hsd) -Hsd
-  #Hsd @csx_intro #X #H #HX
-  elim (cpx_inv_sort1 … H) -H #H destruct /2 width=1 by/
-  elim HX -HX //
-]
-qed.
+lemma csx_sort (G) (L):
+      ∀s. ❪G,L❫ ⊢ ⬈*𝐒 ⋆s.
+/3 width=4 by cnx_csx, cnx_sort/ qed.