- some renaming according to the written version of basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma
index c6d51c6300435e6713da413500a522526470fe96..ca66d927187fa9c13e52693e0510635578b8ef64 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma
@@ -15,16 +15,16 @@
 include "basic_2/reduction/crx.ma".
 include "basic_2/reduction/cnx.ma".
 
-(* CONTEXT-SENSITIVE EXTENDED NORMAL TERMS **********************************)
+(* NORMAL TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ********************)
 
-(* Advanced inversion lemmas on context-sensitive reducible terms ***********)
+(* Advanced inversion lemmas on reducibility ********************************)
 
 (* Note: this property is unusual *)
 lemma cnx_inv_crx: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → ⊥.
 #h #g #G #L #T #H elim H -L -T
-[ #L #k #l #Hkl #H
+[ #L #k #d #Hkd #H
   lapply (cnx_inv_sort … H) -H #H
-  lapply (deg_mono … H Hkl) -h -L -k <plus_n_Sm #H destruct
+  lapply (deg_mono … H Hkd) -h -L -k <plus_n_Sm #H destruct
 | #I #L #K #V #i #HLK #H
   elim (cnx_inv_delta … HLK H)
 | #L #V #T #_ #IHV #H
@@ -33,7 +33,7 @@ lemma cnx_inv_crx: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ ➡[h, g] 𝐑⦃T⦄ → ⦃G,
   elim (cnx_inv_appl … H) -H /2 width=1 by/
 | #I #L #V #T * #H1 #H2 destruct
   [ elim (cnx_inv_zeta … H2)
-  | elim (cnx_inv_tau … H2)
+  | elim (cnx_inv_eps … H2)
   ]
 |6,7: #a * [ elim a ] #L #V #T * #H1 #_ #IH #H2 destruct
   [1,3: elim (cnx_inv_abbr … H2) -H2 /2 width=1 by/