X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground_2%2Fsteps%2Frtc_shift.ma;h=e2f739d69572e6405257b51420dcff6dd05674d9;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=cb2c3828425b9902209891b7148d79899c5f6b0e;hpb=24ba1bb3f67505d3e384747ff90d26d3996bd3f5;p=helm.git

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 cb2c38284..e2f739d69 100644
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
+++ b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_shift.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "ground_2/notation/functions/drop_1.ma".
+include "ground_2/notation/functions/updownarrowstar_1.ma".
 include "ground_2/steps/rtc_isrt.ma".
 
 (* RT-TRANSITION COUNTER ****************************************************)
@@ -21,20 +21,20 @@ definition shift (c:rtc): rtc ≝ match c with
 [ mk_rtc ri rs ti ts ⇒ 〈ri∨rs, 0, ti∨ts, 0〉 ].
 
 interpretation "shift (rtc)"
-   'Drop c = (shift c).
+   'UpDownArrowStar c = (shift c).
 
 (* Basic properties *********************************************************)
 
-lemma shift_rew: ∀ri,rs,ti,ts. 〈ri∨rs, 0, ti∨ts, 0〉 = ↓〈ri, rs, ti, ts〉.
+lemma shift_rew: ∀ri,rs,ti,ts. 〈ri∨rs, 0, ti∨ts, 0〉 = ↕*〈ri, rs, ti, ts〉.
 normalize //
 qed.
 
-lemma shift_O: 𝟘𝟘 = ↓𝟘𝟘.
+lemma shift_O: 𝟘𝟘 = ↕*𝟘𝟘.
 // qed.
 
 (* Basic inversion properties ***********************************************)
 
-lemma shift_inv_dx: ∀ri,rs,ti,ts,c. 〈ri, rs, ti, ts〉 = ↓c →
+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
@@ -43,18 +43,18 @@ qed-.
 
 (* Properties with test for costrained rt-transition counter ****************)
 
-lemma isr_shift: ∀c. 𝐑𝐓⦃0, c⦄ → 𝐑𝐓⦃0, ↓c⦄.
+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.
+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⦄.
+lemma isr_inv_shift: ∀c. 𝐑𝐓⦃0, ↕*c⦄ → 𝐑𝐓⦃0, c⦄.
 #c #H elim (isrt_inv_shift … H) -H //
 qed-.