milestone update in basic_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb_fqup.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/rpx_fqup.ma".
+include "basic_2/rt_transition/fpb.ma".
+
+(* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
+
+(* Advanced properties ******************************************************)
+
+(* Basic_2A1: was: fpbq_refl *)
+lemma fpb_refl: tri_reflexive … fpb.
+/2 width=5 by fpb_intro/ qed.
+
+(* Basic_2A1: uses: fpbq_cpx *)
+lemma cpx_fpb (G) (L):
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ⬈ T2 → ❪G,L,T1❫ ≽ ❪G,L,T2❫.
+/2 width=5 by fpb_intro/ qed.
+
+(* Basic_2A1: uses: fpbq_fquq *)
+lemma fquq_fpb (G1) (G2) (L1) (L2) (T1) (T2):
+      ❪G1,L1,T1❫ ⬂⸮ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
+/2 width=5 by fpb_intro/ qed.
+
+lemma fqu_fpb (G1) (G2) (L1) (L2) (T1) (T2):
+      ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ → ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫.
+/3 width=5 by fquq_fpb, fqu_fquq/ qed.