update in ground_2, static_2, basic_2

[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
index 9601be038fdb753b502154fbf3753cd5e9d4bcb0..f5c00d822cbeb29bdf8b820d62273b6c3ff4e9ce 100644 (file)
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
@@ -14,7 +14,7 @@
 
 include "ground_2/xoa/ex_5_4.ma".
 include "ground_2/notation/functions/updownarrowstar_1.ma".
-include "ground_2/steps/rtc_isrt.ma".
+include "ground_2/steps/rtc.ma".
 
 (* RT-TRANSITION COUNTER ****************************************************)
 
@@ -41,21 +41,3 @@ lemma shift_inv_dx: ∀ri,rs,ti,ts,c. 〈ri,rs,ti,ts〉 = ↕*c →
 #ri #rs #ti #ts * #ri0 #rs0 #ti0 #ts0 <shift_rew #H destruct
 /2 width=7 by ex5_4_intro/
 qed-.
-
-(* Properties with test for costrained rt-transition counter ****************)
-
-lemma isr_shift: ∀c. 𝐑𝐓❪0,c❫ → 𝐑𝐓❪0,↕*c❫.
-#c * #ri #rs #H destruct /2 width=3 by ex1_2_intro/
-qed.
-
-(* Inversion properties with test for costrained rt-counter *****************)
-
-lemma isrt_inv_shift: ∀n,c. 𝐑𝐓❪n,↕*c❫ → 𝐑𝐓❪0,c❫ ∧ 0 = n.
-#n #c * #ri #rs #H
-elim (shift_inv_dx … H) -H #rt0 #rs0 #ti0 #ts0 #_ #_ #H1 #H2 #H3
-elim (max_inv_O3 … H1) -H1 /3 width=3 by ex1_2_intro, conj/
-qed-.
-
-lemma isr_inv_shift: ∀c. 𝐑𝐓❪0,↕*c❫ → 𝐑𝐓❪0,c❫.
-#c #H elim (isrt_inv_shift … H) -H //
-qed-.