X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_cnx.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_cnx.ma;h=453c91e452825612c20b170cc3d322cd6f40c1e7;hb=b4283c079ed7069016b8d924bbc7e08872440829;hp=6dd8020012ed4fcf26379ff10596ba1763ea656b;hpb=647b419e96770d90a82d7a9e5e8843566a9f93ee;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 6dd802001..453c91e45 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
@@ -17,10 +17,16 @@ include "basic_2/rt_computation/cpxs.ma".
 
 (* UNBOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
 
+(* Properties with normal forms *********************************************)
+
+lemma cpxs_cnx (h) (G) (L) (T1):
+      (∀T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → T1 ≛ T2) → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T1⦄.
+/3 width=1 by cpx_cpxs/ qed.
+
 (* Inversion lemmas with normal terms ***************************************)
 
-lemma cpxs_inv_cnx1: ∀h,G,L,T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T1⦄ →
-                     T1 ≛ T2.
+lemma cpxs_inv_cnx1 (h) (G) (L):
+      ∀T1,T2. ⦃G,L⦄ ⊢ T1 ⬈*[h] T2 → ⦃G,L⦄ ⊢ ⬈[h] 𝐍⦃T1⦄ → T1 ≛ T2.
 #h #G #L #T1 #T2 #H @(cpxs_ind_dx … H) -T1
 /5 width=9 by cnx_tdeq_trans, tdeq_trans/
 qed-.