]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/etc/fpbg/fpbg_lift.etc
update in basic_2
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc / fpbg / fpbg_lift.etc
index 26dec0777a7b6976f440c6481a3d4312e00317a9..4fe3be22f29b33c3a3895962605099231aeafffa 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/fpbc_lift.ma".
+include "basic_2/reduction/fpb_lift.ma".
 include "basic_2/computation/fpbg.ma".
 
-(* GENERAL "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *********************)
+(* "QRST" 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.
+lemma sta_fpbg: ∀h,o,G,L,T1,T2,d. ⦃G, L⦄ ⊢ T1 ▪[h, o] d+1 →
+                ⦃G, L⦄ ⊢ T1 •*[h, 1] T2 → ⦃G, L, T1⦄ >≛[h, o] ⦃G, L, T2⦄.
+/4 width=2 by fpb_fpbg, sta_fpb/ qed.