reorganization of the "static" component:

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / fpbg_lift.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma
index 9afc2523baffe2eb8f31b25be54c28cc72030236..6b5b5719b6710813c68cb6b21088753a03cdca43 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/computation/fpbg_lift.ma
@@ -12,28 +12,17 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/unfold/lsstas_lift.ma".
-include "basic_2/reduction/fpb_lift.ma".
-include "basic_2/reduction/fpbc_lift.ma".
+include "basic_2/computation/fpbu_lift.ma".
 include "basic_2/computation/fpbg.ma".
 
-(* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
+(* 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⦄.
-#h #g #G #L #T1 #T2 #l2 #H @(lsstas_ind_dx … H) -l2 -T2
-[ #H elim H //
-| #l2 #T #T2 #HT1 #HT2 #IHT1 #HT12 #l1 #Hl21
-  elim (term_eq_dec T1 T) #H destruct [ -IHT1 |]
-  [ elim (le_inv_plus_l … Hl21) -Hl21 #_ #Hl1
-    >(plus_minus_m_m … Hl1) -Hl1 /3 width=5 by ssta_fpbc, fpbg_inj/
-  | #Hl1 >commutative_plus in Hl21; #Hl21
-    elim (le_inv_plus_l … Hl21) -Hl21 #Hl12 #Hl21
-    lapply (lsstas_da_conf … HT1 … Hl1) -HT1
-    >(plus_minus_m_m … Hl12) -Hl12
-    /4 width=5 by ssta_fpb, fpbg_strap1/
-  ]
-]
-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.