X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_cnx.ma;h=c90f2c316281fa8220c04766ea9a8556e31ff334;hb=HEAD;hp=001efe155e66677d55e5ce423fbcdc98f2176abc;hpb=6167cca50de37eba76a062537b24f7caef5b34f2;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma
index 001efe155..c90f2c316 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_cnx.ma
@@ -15,12 +15,18 @@
 include "basic_2/rt_transition/cnx_cnx.ma".
 include "basic_2/rt_computation/cpxs.ma".
 
-(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS ************)
+(* EXTENDED CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS *************)
+
+(* Properties with normal forms *********************************************)
+
+lemma cpxs_cnx (G) (L) (T1):
+      (∀T2. ❨G,L❩ ⊢ T1 ⬈* T2 → T1 ≅ T2) → ❨G,L❩ ⊢ ⬈𝐍 T1.
+/3 width=1 by cpx_cpxs/ qed.
 
 (* Inversion lemmas with normal terms ***************************************)
 
-lemma cpxs_inv_cnx1: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G, L⦄ ⊢ ⬈[h, o] 𝐍⦃T1⦄ →
-                     T1 ≛[h, o] T2.
-#h #o #G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
-/5 width=8 by cnx_tdeq_trans, tdeq_trans/
+lemma cpxs_inv_cnx1 (G) (L):
+      ∀T1,T2. ❨G,L❩ ⊢ T1 ⬈* T2 → ❨G,L❩ ⊢ ⬈𝐍 T1 → T1 ≅ T2.
+#G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
+/5 width=9 by cnx_teqx_trans, teqx_trans/
 qed-.