- advances in the theory of cofrees

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / reduction / fpb.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
index 1abe847ab69ef5fa143cf38bea1943615a9f57ad..71d7a0cb9deb223a6be51fe3182755bcb6abbc8d 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
@@ -13,15 +13,17 @@
 (**************************************************************************)
 
 include "basic_2/notation/relations/btpred_8.ma".
-include "basic_2/relocation/fquq_alt.ma".
-include "basic_2/reduction/fpn.ma".
+include "basic_2/relocation/fquq.ma".
+include "basic_2/substitution/lleq.ma".
+include "basic_2/reduction/lpx.ma".
 
 (* "BIG TREE" PARALLEL REDUCTION FOR CLOSURES *******************************)
 
 inductive fpb (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpb_fquq: â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 â\8a\83⸮ ⦃G2, L2, T2⦄ → fpb h g G1 L1 T1 G2 L2 T2
+| fpb_fquq: â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 â\8a\90⸮ ⦃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_lleq: ∀L2. L1 ≡[T1, 0] L2 → fpb h g G1 L1 T1 G1 L2 T1
 .
 
 interpretation
@@ -38,16 +40,3 @@ lemma cpr_fpb: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽
 
 lemma lpr_fpb: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ 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-.