ground_2 released and permanently renamed as ground

[helm.git] / matita / matita / contribs / lambdadelta / ground_2 / relocation / mr2_plus.ma

diff --git a/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma b/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma
deleted file mode 100644 (file)
index 041ed01..0000000
--- a/matita/matita/contribs/lambdadelta/ground_2/relocation/mr2_plus.ma
+++ /dev/null
@@ -1,46 +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/relocation/mr2.ma".
-
-(* MULTIPLE RELOCATION WITH PAIRS *******************************************)
-
-rec definition pluss (cs:mr2) (i:nat) on cs ≝ match cs with
-[ nil2         ⇒ ◊
-| cons2 l m cs ⇒ ❨l + i,m❩;pluss cs i
-].
-
-interpretation "plus (multiple relocation with pairs)"
-   'plus x y = (pluss x y).
-
-(* Basic properties *********************************************************)
-
-lemma pluss_SO2: ∀l,m,cs. (❨l,m❩;cs) + 1 = ❨↑l,m❩;cs + 1.
-normalize // qed.
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma pluss_inv_nil2: ∀i,cs. cs + i = ◊ → cs = ◊.
-#i * // normalize
-#l #m #cs #H destruct
-qed.
-
-lemma pluss_inv_cons2: ∀i,l,m,cs2,cs. cs + i = ❨l,m❩;cs2 →
-                       ∃∃cs1. cs1 + i = cs2 & cs = ❨l - i,m❩;cs1.
-#i #l #m #cs2 *
-[ normalize #H destruct
-| #l1 #m1 #cs1 whd in ⊢ (??%?→?); #H destruct
-  <minus_plus_m_m /2 width=3 by ex2_intro/
-]
-qed-.