]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma
reorganization of the "static" component:
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fpbg_lift.ma
index 7a964e40fa11bc697150731760f3784c1e92c16a..6b5b5719b6710813c68cb6b21088753a03cdca43 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/computation/cpxs_lift.ma".
+include "basic_2/computation/fpbu_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 fpbg_cpxs, lsstas_cpxs/ qed.
+lemma lstas_fpbg: ∀h,g,G,L,T1,T2,l2. ⦃G, L⦄ ⊢ T1 •*[h, l2] T2 → (T1 = T2 → ⊥) →
+                  ∀l1. l2 ≤ l1 → ⦃G, L⦄ ⊢ T1 ▪[h, g] l1 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄.
+/5 width=5 by fpbc_fpbg, fpbu_fpbc, lstas_fpbu/ qed.
+
+lemma sta_fpbg: ∀h,g,G,L,T1,T2,l. ⦃G, L⦄ ⊢ T1 ▪[h, g] l+1 →
+                ⦃G, L⦄ ⊢ T1 •[h] T2 → ⦃G, L, T1⦄ >≡[h, g] ⦃G, L, T2⦄.
+/4 width=2 by fpbc_fpbg, fpbu_fpbc, sta_fpbu/ qed.