milestone update in ground_2 and basic_2A

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / cpr / tprs_tprs.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/tprs_tprs.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/tprs_tprs.etc
deleted file mode 100644 (file)
index 87a4a71..0000000
--- a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/cpr/tprs_tprs.etc
+++ /dev/null
@@ -1,43 +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 "basic_2/reducibility/tpr_tpr.ma".
-include "basic_2/computation/tprs.ma".
-
-(* CONTEXT-FREE PARALLEL COMPUTATION ON TERMS *******************************)
-
-(* Advanced properties ******************************************************)
-
-(* Basic_1: was: pr1_strip *)
-lemma tprs_strip: ∀T1,T. T ➡* T1 → ∀T2. T ➡ T2 →
-                  ∃∃T0. T1 ➡ T0 & T2 ➡* T0.
-/3 width=3 by TC_strip1, tpr_conf/ qed.
-
-(* Main propertis ***********************************************************)
-
-(* Basic_1: was: pr1_confluence *)
-theorem tprs_conf: confluent … tprs.
-/3 width=3/ qed.
-
-(* Basic_1: was: pr1_t *)
-theorem tprs_trans: Transitive … tprs.
-/2 width=3/ qed.
-
-(* Basic_1: was: pr1_comp *)
-lemma tprs_pair: ∀I,V1,V2. V1 ➡* V2 → ∀T1,T2. T1 ➡* T2 →
-                 ②{I} V1. T1 ➡* ②{I} V2. T2.
-#I #V1 #V2 #H @(tprs_ind … H) -V2 /2 width=1/
-#V #V2 #_ #HV2 #IHV1 #T1 #T2 #HT12
-@(tprs_trans … (②{I}V.T2)) /2 width=1/
-qed.