ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / etc / relocation / trace_snot.etc

diff --git a/matita/matita/contribs/lambdadelta/ground_2/etc/relocation/trace_snot.etc b/matita/matita/contribs/lambdadelta/ground_2/etc/relocation/trace_snot.etc
deleted file mode 100644 (file)
index d1697b9..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/etc/relocation/trace_snot.etc
+++ /dev/null
@@ -1,50 +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/notation/functions/complement_1.ma".
-include "ground_2/relocation/trace.ma".
-
-(* RELOCATION TRACE *********************************************************)
-
-let rec snot (t:trace) on t ≝ match t with
-[ nil      ⇒ ◊
-| cons b t ⇒ (¬ b) @ snot t
-].
-
-interpretation
-   "complement (trace)"
-   'Complement t = (snot t).
-
-(* Basic properties *********************************************************)
-
-lemma snot_empty: ∁ (◊) = ◊.
-// qed.
-
-lemma snot_inh: ∀t,b. ∁ (b@t) = (¬ b) @ ∁ t.
-// qed.
-
-lemma snot_true: ∀t. ∁ (Ⓣ @ t) = Ⓕ @ ∁ t.
-// qed.
-
-lemma snot_false: ∀t. ∁ (Ⓕ @ t) = Ⓣ @ ∁ t.
-// qed.
-
-lemma snot_length: ∀t. |∁ t| = |t|.
-#t elim t -t normalize //
-qed.
-
-lemma snot_colength: ∀t. ∥∁ t∥ = |t| - ∥t∥.
-#t elim t -t //
-* /2 width=1 by minus_Sn_m/
-qed.