X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Ffpb.ma;h=2ea22a769952aff5056c2bce10877c9de9158b45;hb=07d915d411ffabeb0c7cd678f00cbeca53ae8276;hp=4cf9d4bb0efbd5938eecdb69cff3840b960c3798;hpb=78b27990925c54b2a34cff609fc9bcfbeb6b48f3;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 4cf9d4bb0..2ea22a769 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpb.ma
@@ -14,14 +14,16 @@
 
 include "basic_2/notation/relations/btpred_8.ma".
 include "basic_2/relocation/fquq.ma".
-include "basic_2/reduction/llpx.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: ∀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_llpx: ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, g, T1, 0] L2 → fpb h g G1 L1 T1 G1 L2 T1
+| 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
@@ -35,7 +37,6 @@ lemma fpb_refl: ∀h,g. tri_reflexive … (fpb h g).
 
 lemma cpr_fpb: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, g] ⦃G, L, T2⦄. 
 /3 width=1 by fpb_cpx, cpr_cpx/ qed.
-(*
-lamma llpr_fpb: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡[T, 0] L2 → ⦃G, L1, T⦄ ≽[h, g] ⦃G, L2, T⦄.
-/3 width=1 by fpb_llpx, llpr_llpx/ qed.
-*)
+
+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.