X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsyntax%2Fprototerm_constructors.ma;h=5bb66e16ab112f1ab94db7db70cba521bc150131;hb=9e31ac1f3f868349154b0ce2e550e2476aaf6a30;hp=35a79b0399624d79444c8ba3243003e8b1eb5cb6;hpb=80ecd5486c6013f6c297173f41432fd1d93814ef;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
index 35a79b039..5bb66e16a 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/syntax/prototerm_constructors.ma
@@ -15,7 +15,7 @@
 include "delayed_updating/syntax/prototerm.ma".
 include "delayed_updating/notation/functions/m_hook_1.ma".
 include "delayed_updating/notation/functions/hash_1.ma".
-include "delayed_updating/notation/functions/phi_2.ma".
+include "delayed_updating/notation/functions/tau_2.ma".
 include "delayed_updating/notation/functions/lamda_1.ma".
 include "delayed_updating/notation/functions/at_2.ma".
 
@@ -41,11 +41,11 @@ interpretation
 
 interpretation
   "outer variable reference by depth (prototerm)"
-  'Hash n = (prototerm_node_0 (label_d n)).
+  'Hash k = (prototerm_node_0 (label_d k)).
 
 interpretation
   "inner variable reference by depth (prototerm)"
-  'Phi n t = (prototerm_node_1_2 (label_d n) label_m t).
+  'Tau k t = (prototerm_node_1_2 (label_d k) label_m t).
 
 interpretation
   "name-free functional abstraction (prototerm)"
@@ -57,19 +57,20 @@ interpretation
 
 (* Basic constructions *******************************************************)
 
-lemma in_comp_iref (t) (q) (n):
-      q ϵ t → 𝗱n◗𝗺◗q ϵ 𝛗n.t.
+lemma in_comp_iref (t) (q) (k):
+      q ϵ t → 𝗱k◗𝗺◗q ϵ 𝛕k.t.
 /2 width=3 by ex2_intro/ qed.
 
-(* Basic Inversions *********************************************************)
+(* Basic inversions *********************************************************)
 
-lemma in_comp_inv_iref (t) (p) (n):
-      p ϵ 𝛗n.t →
-      ∃∃q. 𝗱n◗𝗺◗q = p & q ϵ t.
-#t #p #n * #q #Hq #Hp
+lemma in_comp_inv_iref (t) (p) (k):
+      p ϵ 𝛕k.t →
+      ∃∃q. 𝗱k◗𝗺◗q = p & q ϵ t.
+#t #p #k * #q #Hq #Hp
 /2 width=3 by ex2_intro/
 qed-.
-(*
+
+(* COMMENT
 lemma prototerm_in_root_inv_lcons_oref:
       ∀p,l,n. l◗p ϵ ▵#n →
       ∧∧ 𝗱n = l & 𝐞 = p.
@@ -80,7 +81,7 @@ elim (eq_inv_list_empty_append … e0) -e0 #H0 #_
 qed-.
 
 lemma prototerm_in_root_inv_lcons_iref:
-      ∀t,p,l,n. l◗p ϵ ▵𝛗n.t →
+      ∀t,p,l,n. l◗p ϵ ▵𝛕n.t →
       ∧∧ 𝗱n = l & p ϵ ▵ɱ.t.
 #t #p #l #n * #q * #r #Hr
 <list_append_lcons_sn #H0 destruct -H0