- degree-based equivalene for terms

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_2A1 / llpx / llpxs_aaa.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpx/llpxs_aaa.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpx/llpxs_aaa.etc
new file mode 100644 (file)
index 0000000..ededb03
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc_2A1/llpx/llpxs_aaa.etc
@@ -0,0 +1,31 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/reduction/llpx_aaa.ma".
+include "basic_2/computation/llpxs.ma".
+
+(* LAZY SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS **************)
+
+(* Properties about atomic arity assignment on terms ************************)
+
+lemma aaa_llpxs_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
+                      ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, g, T, 0] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
+#h #g #G #L1 #T #A #HT #L2 #HL12
+@(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by aaa_llpx_conf/
+qed-.
+(*
+lamma aaa_llprs_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
+                      ∀L2. ⦃G, L1⦄ ⊢ ➡*[T, 0] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
+/3 width=5 by aaa_llpxs_conf, llprs_llpxs/ qed-.
+*)