milestone update in ground

[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / rtmap_tls.ma

diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_tls.ma b/matita/matita/contribs/lambdadelta/ground/relocation/rtmap_tls.ma
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "ground/notation/functions/droppreds_2.ma".
-include "ground/relocation/rtmap_pushs.ma".
-include "ground/relocation/rtmap_tl.ma".
-
-(* RELOCATION MAP ***********************************************************)
-
-definition tls (f:rtmap) (n:nat) ≝ tl^n f.
-
-interpretation "tls (rtmap)" 'DropPreds n f = (tls f n).
-
-(* Basic properties *********************************************************)
-
-lemma tls_O: ∀f. f = ⫱*[𝟎] f.
-// qed.
-
-lemma tls_S: ∀f,n. ⫱ ⫱*[n] f = ⫱*[↑n] f.
-#f #n @(niter_succ … tl)
-qed.
-
-lemma tls_eq_repl: ∀n. eq_repl (λf1,f2. ⫱*[n] f1 ≡ ⫱*[n] f2).
-#n @(nat_ind_succ … n) -n /3 width=1 by tl_eq_repl/
-qed.
-
-(* Advanced properties ******************************************************)
-
-lemma tls_swap (n) (f): ⫱ ⫱*[n] f = ⫱*[n] ⫱f.
-#f #n @(niter_appl … tl)
-qed.
-
-lemma tls_xn: ∀n,f. ⫱*[n] ⫱f = ⫱*[↑n] f.
-// qed.
-
-(* Properties with pushs ****************************************************)
-
-lemma tls_pushs: ∀n,f. f = ⫱*[n] ⫯*[n] f.
-#n @(nat_ind_succ … n) -n //
-#n #IH #f <tls_xn <pushs_S <tl_push_rew //
-qed.