ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / steps / rtc_ist.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist.ma b/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist.ma
deleted file mode 100644 (file)
index 81c5843..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/steps/rtc_ist.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_2/notation/relations/istype_2.ma".
-include "ground_2/steps/rtc.ma".
-
-(* T-TRANSITION COUNTER *****************************************************)
-
-definition ist: relation2 nat rtc ≝
-           λts,c. 〈0,0,0,ts〉 = c.
-
-interpretation "test for t-transition counter (rtc)"
-   'IsType ts c = (ist ts c).
-
-(* Basic properties *********************************************************)
-
-lemma ist_00: 𝐓❪0,𝟘𝟘❫.
-// qed.
-
-lemma ist_01: 𝐓❪1,𝟘𝟙❫.
-// qed.
-
-(* Basic inversion properties ***********************************************)
-
-lemma ist_inv_00: ∀n. 𝐓❪n,𝟘𝟘❫ → 0 = n.
-#n #H destruct //
-qed-.
-
-lemma ist_inv_01: ∀n. 𝐓❪n,𝟘𝟙❫ → 1 = n.
-#n #H destruct //
-qed-.
-
-lemma ist_inv_10: ∀n. 𝐓❪n,𝟙𝟘❫ → ⊥.
-#h #H destruct
-qed-.
-
-(* Main inversion properties ************************************************)
-
-theorem ist_inj: ∀n1,n2,c. 𝐓❪n1,c❫ → 𝐓❪n2,c❫ → n1 = n2.
-#n1 #n2 #c #H1 #H2 destruct //
-qed-.
-
-theorem ist_mono: ∀n,c1,c2. 𝐓❪n,c1❫ → 𝐓❪n,c2❫ → c1 = c2.
-#n #c1 #c2 #H1 #H2 destruct //
-qed-.