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[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fpbg_lift.ma
index 7a964e40fa11bc697150731760f3784c1e92c16a..1a6da7e17890956bf78ffe1c5e3c2a6b79cc3cfc 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/cpxs_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 fpbg_cpxs, lsstas_cpxs/ qed.
+lemma sta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
+                ⦃G, L⦄ ⊢ T1 •*[h, 1] T2 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄.
+/4 width=2 by fpb_fpbg, sta_fpb/ qed.