milestone update in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / teqx / fpbq_feqx.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/fpbq_feqx.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/fpbq_feqx.etc
new file mode 100644 (file)
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+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/teqx/fpbq_feqx.etc
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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 "static_2/static/feqx.ma".
+include "basic_2/rt_transition/rpx_reqx.ma".
+include "basic_2/rt_transition/fpbq.ma".
+
+(* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
+
+(* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
+lemma fpbq_feqx (G1) (G2):
+      ∀L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
+#G1 #G2 #L1 #L2 #T1 #T2 #H
+elim (feqx_inv_gen_sn … H) #H #HL12 #HT12 destruct
+/3 width=3 by fpbq_rcpx, reqx_rpx_trans, teqx_cpx_trans/
+qed.