-(**************************************************************************)
-(* ___ *)
-(* ||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/steps/rtc_shift.ma".
-include "ground_2/steps/rtc_ist.ma".
-
-(* RT-TRANSITION COUNTER ****************************************************)
-
-(* Properties with test for t-transition counter ****************************)
-
-lemma ist_zero_shift: āc. šāŖ0,cā« ā šāŖ0,ā*cā«.
-#c #H destruct //
-qed.
-
-(* Inversion properties with test for t-transition counter ******************)
-
-lemma ist_inv_shift: ān,c. šāŖn,ā*cā« ā ā§ā§ šāŖ0,cā« & 0 = n.
-#n #c #H
-elim (shift_inv_dx ā¦ H) -H #rt0 #rs0 #ti0 #ts0 #H1 #_ #H2 #H3 #H4 destruct
-elim (max_inv_O3 ā¦ H1) -H1 #H11 #H12 destruct
-elim (max_inv_O3 ā¦ H2) -H2 #H21 #H22 destruct
-/2 width=1 by conj/
-qed-.
-
-lemma ist_inv_zero_shift: āc. šāŖ0,ā*cā« ā šāŖ0,cā«.
-#c #H elim (ist_inv_shift ā¦ H) -H //
-qed-.