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=98e81b543b48b7808e4f2dfcea55ff601069f0c9;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=49f74a202ab8afb2f1162dd6fbd34952d0797575;hpb=f129bbbfda0e65a5f92ec086246f6e288376d4f9;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 49f74a202..98e81b543 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,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 (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_teqx_trans, teqx_trans/
 qed-.