X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_constructors.ma;h=e87ccb21f0cb641bb48f4cf6ee666e8bc1ec455e;hb=5c2d38b46908f662cbb717156b29101ff30f8352;hp=d36698b5f85a38c2a5439840127e4342a7e847cc;hpb=3af42b8f2cb1956eed14edcc0adb9df92601f248;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
index d36698b5f..e87ccb21f 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_constructors.ma
@@ -18,28 +18,29 @@ include "delayed_updating/syntax/prototerm_constructors_eq.ma".
 
 (* LIFT FOR PROTOTERM *******************************************************)
 
-lemma lift_term_iref_sn (f) (t:prototerm) (n:pnat):
-      (𝛕f＠⧣❨n❩.↑[⇂*[n]f]t) ⊆ ↑[f](𝛕n.t).
-#f #t #n #p * #q * #r #Hr #H1 #H2 destruct
-@(ex2_intro … (𝗱n◗𝗺◗r))
+lemma lift_term_iref_sn (f) (t:prototerm) (k:pnat):
+      (𝛕f＠⧣❨k❩.↑[⇂*[k]f]t) ⊆ ↑[f](𝛕k.t).
+#f #t #k #p * #q * #r #Hr #H1 #H2 destruct
+@(ex2_intro … (𝗱k◗𝗺◗r))
 /2 width=1 by in_comp_iref/
 qed-.
 
-lemma lift_term_iref_dx (f) (t) (n:pnat):
-      ↑[f](𝛕n.t) ⊆ 𝛕f＠⧣❨n❩.↑[⇂*[n]f]t.
-#f #t #n #p * #q #Hq #H0 destruct
+lemma lift_term_iref_dx (f) (t) (k:pnat):
+      ↑[f](𝛕k.t) ⊆ 𝛕f＠⧣❨k❩.↑[⇂*[k]f]t.
+#f #t #k #p * #q #Hq #H0 destruct
 elim (in_comp_inv_iref … Hq) -Hq #p #H0 #Hp destruct
+<lift_path_d_sn <lift_path_m_sn
 /3 width=1 by in_comp_iref, in_comp_lift_path_term/
 qed-.
 
-lemma lift_term_iref (f) (t) (n:pnat):
-      (𝛕f＠⧣❨n❩.↑[⇂*[n]f]t) ⇔ ↑[f](𝛕n.t).
+lemma lift_term_iref (f) (t) (k:pnat):
+      (𝛕f＠⧣❨k❩.↑[⇂*[k]f]t) ⇔ ↑[f](𝛕k.t).
 /3 width=1 by conj, lift_term_iref_sn, lift_term_iref_dx/
 qed.
 
-lemma lift_term_iref_uni (t) (m) (n):
-      (𝛕(n+m).t) ⇔ ↑[𝐮❨m❩](𝛕n.t).
-#t #m #n
+lemma lift_term_iref_uni (t) (n) (k):
+      (𝛕(k+n).t) ⇔ ↑[𝐮❨n❩](𝛕k.t).
+#t #n #k
 @(subset_eq_trans … (lift_term_iref …))
 <tr_uni_pap >nsucc_pnpred <tr_tls_succ_uni
 /3 width=1 by iref_eq_repl, lift_term_id/