additions and corrections for the article on λδ-2B

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / cpxs_cnx.ma

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 001efe155e66677d55e5ce423fbcdc98f2176abc..453c91e452825612c20b170cc3d322cd6f40c1e7 100644 (file)
--- 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 ************)
+(* 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_tdeq_trans, tdeq_trans/
 qed-.