X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcnx_cix.ma;h=48430600746e0665dbdeefcdf0c93593614d8f4b;hb=1f30483032488ac4df2310b68fe8146e05524fec;hp=f45801a25e9851378a1ae15986c333c38beee945;hpb=29973426e0227ee48368d1c24dc0c17bf2baef77;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_cix.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_cix.ma
index f45801a25..484306007 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_cix.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_cix.ma
@@ -15,14 +15,14 @@
 include "basic_2/reduction/cpx_cix.ma".
 include "basic_2/reduction/cnx_crx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED NORMAL TERMS **********************************)
+(* NORMAL TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ********************)
 
-(* Main properties on context-sensitive extended irreducible terms **********)
+(* Main properties on irreducibility ****************************************)
 
-theorem cix_cnr: ∀h,g,L,T. ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄.
-/2 width=5 by cpx_fwd_cix/ qed.
+theorem cix_cnr: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄.
+/2 width=6 by cpx_fwd_cix/ qed.
 
-(* Main inversion lemmas on context-sensitive extended irreducible terms ****)
+(* Main inversion lemmas on irreducibility **********************************)
 
-theorem cnr_inv_cix: ∀h,g,L,T. ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐈[h, g]⦃T⦄.
-/2 width=6 by cnx_inv_crx/ qed-.
+theorem cnr_inv_cix: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐈⦃T⦄.
+/2 width=7 by cnx_inv_crx/ qed-.