X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Ffpbg_fpbg.ma;h=bbbcc2487be4a5371fad80ba87640b997b49662c;hb=a8cd6cc85182245df447a21caf16b6503fa4b3e5;hp=047aee3d4f9d8feb6aaae9721ff26ca012128df4;hpb=b3c3ea1c87cbd7a87c8c29a276fc16f9ebbfb5bd;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
index 047aee3d4..bbbcc2487 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_fpbg.ma
@@ -12,25 +12,11 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/fpbs_alt.ma".
-include "basic_2/computation/fpbs_fpbs.ma".
-include "basic_2/computation/fpbg.ma".
+include "basic_2/computation/fpbg_fpbs.ma".
 
-(* GENERAL "BIG TREE" PROPER PARALLEL COMPUTATION FOR CLOSURES **************)
+(* "QRST" PROPER PARALLEL COMPUTATION FOR CLOSURES **************************)
 
-(* Advanced forward lemmas **************************************************)
+(* Main properties **********************************************************)
 
-lemma fpbg_fwd_fpbs: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ >[h, g] ⦃G2, L2, T2⦄ →
-                     ⦃G1, L1, T1⦄ ≥[h, g] ⦃G2, L2, T2⦄.
-#h #g #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G2 -L2 -T2
-/3 width=5 by cpxs_fqup_fpbs, fpbs_trans, lpxs_fpbs, cpxs_fpbs/
-qed-.
-
-(* Advanced properties ******************************************************)
-
-lemma fqu_fpbs_fpbg: ∀h,g,G1,G,G2,L1,L,L2,T1,T,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G, L, T⦄ →
-                     ⦃G, L, T⦄ ≥[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, g] ⦃G2, L2, T2⦄.
-#h #g #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H elim(fpbs_fpbsa … H) -H
-#L0 #T0 #HT0 #HT02 #HL02 elim (fqu_cpxs_trans … HT0 … H1) -T
-/3 width=7 by fpbg_fqup, fqus_strap2_fqu/
-qed.
+theorem fpbg_trans: ∀h,g. tri_transitive … (fpbg h g).
+/3 width=5 by fpbg_fpbs_trans, fpbg_fwd_fpbs/ qed-.