- partial commit of rt_transition ...

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
new file mode 100644 (file)
index 0000000..61ade3e
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
@@ -0,0 +1,34 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/relocation/drops.ma".
+include "basic_2/rt_transition/cpg.ma".
+
+(* CONTEXT-SENSITIVE GENERIC PARALLEL RT-TRANSITION FOR TERMS ***************)
+
+(* Properties with generic slicing for local environments *******************)
+
+(* Note: the main property of simple terms *)
+lemma cpg_inv_appl1_simple: ∀h,r,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h, r] U → 𝐒⦃T1⦄ →
+                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h, r] V2 & ⦃G, L⦄ ⊢ T1 ➡[h, r] T2 &
+                                     U = ⓐV2.T2.
+#h #r #G #L #V1 #T1 #U #H #HT1
+elim (cpg_inv_appl1 … H) -H *
+[ /2 width=5 by ex3_2_intro/
+| #a #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H #_ destruct
+  elim (simple_inv_bind … HT1)
+| #a #V #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #_ #H #_ destruct
+  elim (simple_inv_bind … HT1)
+]
+qed-.