X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Frelocation%2Frtmap_tls.ma;h=dc277016d988cc390f35a700322d37d2dfd8f4c3;hb=984856dbab870ddc3156040df69b1f1846cc3aaf;hp=d461488409aa594d95b33472aed84e9754e3fae1;hpb=ad3d1cac216cf3882e4adf691b27c00838c6b9b1;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tls.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tls.ma
index d46148840..dc277016d 100644
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tls.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/relocation/rtmap_tls.ma
@@ -13,29 +13,37 @@
 (**************************************************************************)
 
 include "ground_2/notation/functions/droppreds_2.ma".
+include "ground_2/relocation/rtmap_pushs.ma".
 include "ground_2/relocation/rtmap_tl.ma".
 
 (* RELOCATION MAP ***********************************************************)
 
-let rec tls (f:rtmap) (n:nat) on n: rtmap ≝ match n with
+rec definition tls (f:rtmap) (n:nat) on n: rtmap ≝ match n with
 [ O ⇒ f | S m ⇒ ⫱(tls f m) ].
 
 interpretation "tls (rtmap)" 'DropPreds n f = (tls f n).
 
 (* Basic properties *********************************************************)
 
-lemma tls_rew_O: ∀f. f = ⫱*[0] f.
+lemma tls_O: ∀f. f = ⫱*[0] f.
 // qed.
 
-lemma tls_rew_S: ∀f,n. ⫱ ⫱*[n] f = ⫱*[⫯n] f.
+lemma tls_S: ∀f,n. ⫱ ⫱*[n] f = ⫱*[⫯n] f.
 // qed.
 
 lemma tls_eq_repl: ∀n. eq_repl (λf1,f2. ⫱*[n] f1 ≗ ⫱*[n] f2).
 #n elim n -n /3 width=1 by tl_eq_repl/
 qed.
 
-(* Advancedd properties *****************************************************)
+(* Advanced properties ******************************************************)
 
 lemma tls_xn: ∀n,f. ⫱*[n] ⫱f = ⫱*[⫯n] f.
 #n elim n -n //
 qed.
+
+(* Properties with pushs ****************************************************)
+
+lemma tls_pushs: ∀n,f. f = ⫱*[n] ↑*[n] f.
+#n elim n -n //
+#n #IH #f <tls_xn //
+qed.