- "big tree" theorem is now proved up to some conjectures involving

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / fpbg / fpbg_lift.etc

diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc/fpbg/fpbg_lift.etc b/matita/matita/contribs/lambdadelta/basic_2/etc/fpbg/fpbg_lift.etc
new file mode 100644 (file)
index 0000000..26dec07
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/basic_2/etc/fpbg/fpbg_lift.etc
@@ -0,0 +1,28 @@
+(**************************************************************************)
+(*       ___                                                              *)
+(*      ||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/computation/fpbc_lift.ma".
+include "basic_2/computation/fpbg.ma".
+
+(* GENERAL "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *********************)
+
+(* Advanced properties ******************************************************)
+
+lemma lsstas_fpbg: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, g, l2] T2 → (T1 = T2 → ⊥) →
+                   ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ >[h, g] ⦃G, L, T2⦄.
+/4 width=5 by fpbc_fpbg, lsstas_fpbc/ qed.
+
+lemma ssta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
+                 ⦃G, L⦄ ⊢ T1 •[h, g] T2 → ⦃G, L, T1⦄ >[h, g] ⦃G, L, T2⦄.
+/3 width=2 by fpbc_fpbg, ssta_fpbc/ qed.