- name changes in the rediction rules

[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 ec9abbd335b040744f761ac1610476f14c911ede..c4948b77664ac67478fe843b6793240fca2cefb3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_crx.ma
@@ -15,12 +15,12 @@
 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⦄ ⊢ 𝐑[h, g]⦃T⦄ → ⦃G, L⦄ ⊢ 𝐍[h, g]⦃T⦄ → ⊥.
+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
   lapply (cnx_inv_sort … H) -H #H
@@ -28,16 +28,16 @@ lemma cnx_inv_crx: ∀h,g,G,L,T. ⦃G, L⦄ ⊢ 𝐑[h, g]⦃T⦄ → ⦃G, L⦄
 | #I #L #K #V #i #HLK #H
   elim (cnx_inv_delta … HLK H)
 | #L #V #T #_ #IHV #H
-  elim (cnx_inv_appl … H) -H /2 width=1/
+  elim (cnx_inv_appl … H) -H /2 width=1 by/
 | #L #V #T #_ #IHT #H
-  elim (cnx_inv_appl … H) -H /2 width=1/
+  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/
-  |*: elim (cnx_inv_abst … H2) -H2 /2 width=1/
+  [1,3: elim (cnx_inv_abbr … H2) -H2 /2 width=1 by/
+  |*: elim (cnx_inv_abst … H2) -H2 /2 width=1 by/
   ]
 | #a #L #V #W #T #H
   elim (cnx_inv_appl … H) -H #_ #_ #H