X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Ffpb.ma;h=8872199fd35cd35adf76602d4ac7dee228dd4415;hb=a02ba10c669642bd4b75a5b0ac9351c24ddb724a;hp=1abe847ab69ef5fa143cf38bea1943615a9f57ad;hpb=2ce98dc56948742e1d27ca4a8b96a3501962d968;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
index 1abe847ab..8872199fd 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
@@ -12,42 +12,29 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/btpred_8.ma".
-include "basic_2/relocation/fquq_alt.ma".
-include "basic_2/reduction/fpn.ma".
+include "basic_2/notation/relations/btpredproper_8.ma".
+include "basic_2/substitution/fqu.ma".
+include "basic_2/multiple/lleq.ma".
+include "basic_2/reduction/lpx.ma".
 
-(* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
+(* "RST" PROPER PARALLEL COMPUTATION FOR CLOSURES ***************************)
 
 inductive fpb (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpb_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄ → fpb h g G1 L1 T1 G2 L2 T2
-| fpb_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → fpb h g G1 L1 T1 G1 L1 T2
-| fpb_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, g] L2 → fpb h g G1 L1 T1 G1 L2 T1
+| fpb_fqu: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → fpb h g G1 L1 T1 G2 L2 T2
+| fpb_cpx: ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → (T1 = T2 → ⊥) → fpb h g G1 L1 T1 G1 L1 T2
+| fpb_lpx: ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, g] L2 → (L1 ≡[T1, 0] L2 → ⊥) → fpb h g G1 L1 T1 G1 L2 T1
 .
 
 interpretation
-   "'big tree' parallel reduction (closure)"
-   'BTPRed h g G1 L1 T1 G2 L2 T2 = (fpb h g G1 L1 T1 G2 L2 T2).
+   "'rst' proper parallel reduction (closure)"
+   'BTPRedProper h g G1 L1 T1 G2 L2 T2 = (fpb h g G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpb_refl: ∀h,g. tri_reflexive … (fpb h g).
-/2 width=1 by fpb_cpx/ qed.
-
-lemma cpr_fpb: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, g] ⦃G, L, T2⦄. 
+lemma cpr_fpb: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → (T1 = T2 → ⊥) →
+               ⦃G, L, T1⦄ ≻[h, g] ⦃G, L, T2⦄.
 /3 width=1 by fpb_cpx, cpr_cpx/ qed.
 
-lemma lpr_fpb: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1, T⦄ ≽[h, g] ⦃G, L2, T⦄.
+lemma lpr_fpb: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → (L1 ≡[T, 0] L2 → ⊥) →
+               ⦃G, L1, T⦄ ≻[h, g] ⦃G, L2, T⦄.
 /3 width=1 by fpb_lpx, lpr_lpx/ qed.
-
-(* Basic forward lemmas *****************************************************)
-
-lemma fpb_bteq_fwd_fpn: ∀h,g,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ≽[h, g] ⦃G2, L2, T2⦄ →
-                        ⦃G1, L1, T1⦄ ⋕ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊢ ➡[h, g] ⦃G2, L2, T2⦄.
-#h #g #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 /2 width=1 by and3_intro/
-[ #G2 #L2 #T2 #H elim (fquq_inv_gen … H) -H
-  [ #H1 #H2 elim (fqu_fwd_bteq … H1 H2)
-  | * #HG #HL #HT #_ destruct //
-  ]
-| #T2 #HT12 * //
-]
-qed-.