- first results on cpx (dericed from those on cpg)

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_simple.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_simple.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 "basic_2/rt_transition/cpg_simple.ma".
+include "basic_2/rt_transition/cpx.ma".
+
+(* UNCOUNTED CONTEXT-SENSITIVE PARALLEL REDUCTION FOR TERMS *****************)
+
+lemma cpx_inv_appl1_simple: ∀h,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h] U → 𝐒⦃T1⦄ →
+                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h] V2 & ⦃G, L⦄ ⊢ T1 ➡[h] T2 &
+                                     U = ⓐV2.T2.
+#h #G #L #V1 #T1 #U * #c #H #HT1 elim (cpg_inv_appl1_simple … H) -H
+/3 width=5 by ex3_2_intro, ex_intro/
+qed-.