]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
ground_2 released and permanently renamed as ground
[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_shift.ma
diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
deleted file mode 100644 (file)
index f5c00d8..0000000
+++ /dev/null
@@ -1,43 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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_2/xoa/ex_5_4.ma".
-include "ground_2/notation/functions/updownarrowstar_1.ma".
-include "ground_2/steps/rtc.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-definition shift (c:rtc): rtc ≝ match c with
-[ mk_rtc ri rs ti ts ⇒ 〈ri∨rs,0,ti∨ts,0〉 ].
-
-interpretation "shift (rtc)"
-   'UpDownArrowStar c = (shift c).
-
-(* Basic properties *********************************************************)
-
-lemma shift_rew: ∀ri,rs,ti,ts. 〈ri∨rs,0,ti∨ts,0〉 = ↕*〈ri,rs,ti,ts〉.
-normalize //
-qed.
-
-lemma shift_O: 𝟘𝟘 = ↕*𝟘𝟘.
-// qed.
-
-(* Basic inversion properties ***********************************************)
-
-lemma shift_inv_dx: ∀ri,rs,ti,ts,c. 〈ri,rs,ti,ts〉 = ↕*c →
-                    ∃∃ri0,rs0,ti0,ts0. (ri0∨rs0) = ri & 0 = rs & (ti0∨ts0) = ti & 0 = ts &
-                                       〈ri0,rs0,ti0,ts0〉 = c.
-#ri #rs #ti #ts * #ri0 #rs0 #ti0 #ts0 <shift_rew #H destruct
-/2 width=7 by ex5_4_intro/
-qed-.