- new component "s_transition" for the restored fqu and fquq

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / cnx_cix.ma

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 05f1acedb2529ab13ad1946f8bda61fe82f9b454..32b9a76bfc00a9074f5ab35b447663b05831afc8 100644 (file)
--- 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. ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄ → ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄.
-/2 width=5 by cpx_fwd_cix/ qed.
+theorem cix_cnx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ➡[h, o] 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, o] 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. ⦃h, L⦄ ⊢ 𝐍[g]⦃T⦄ → ⦃h, L⦄ ⊢ 𝐈[g]⦃T⦄.
-/2 width=6 by cnx_inv_crx/ qed-.
+theorem cnx_inv_cix: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, o] 𝐈⦃T⦄.
+/2 width=7 by cnx_inv_crx/ qed-.