X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb.ma;h=72c73ae87ea0fe4b55be75eb276178d9cfcc40de;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=62fd4fe1089c6764132e16d84c4883846d96d9a8;hpb=4b4d24e46ac80c9b035b6c23944d851f9f0ec179;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma
index 62fd4fe10..72c73ae87 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma
@@ -12,32 +12,32 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/predsubtystrong_5.ma".
+include "basic_2/notation/relations/predsubtystrong_4.ma".
 include "basic_2/rt_transition/fpb.ma".
 
 (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************)
 
-inductive fsb (h) (o): relation3 genv lenv term ≝
+inductive fsb (h): relation3 genv lenv term ≝
 | fsb_intro: ∀G1,L1,T1. (
-                ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → fsb h o G2 L2 T2
-             ) → fsb h o G1 L1 T1
+               ∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → fsb h G2 L2 T2
+             ) → fsb h G1 L1 T1
 .
 
 interpretation
    "strong normalization for parallel rst-transition (closure)"
-   'PRedSubTyStrong h o G L T = (fsb h o G L T).
+   'PRedSubTyStrong h G L T = (fsb h G L T).
 
 (* Basic eliminators ********************************************************)
 
 (* Note: eliminator with shorter ground hypothesis *)
-(* Note: to be named fsb_ind when fsb becomes a definition like csx, lfsx ***)
-lemma fsb_ind_alt: ∀h,o. ∀R: relation3 …. (
-                      ∀G1,L1,T1. ≥[h,o] 𝐒⦃G1, L1, T1⦄ → (
-                         ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2
-                      ) → R G1 L1 T1
-                   ) →
-                   ∀G,L,T. ≥[h, o] 𝐒⦃G, L, T⦄ → R G L T.
-#h #o #R #IH #G #L #T #H elim H -G -L -T
+(* Note: to be named fsb_ind when fsb becomes a definition like csx, rsx ****)
+lemma fsb_ind_alt (h) (Q:relation3 …):
+      (∀G1,L1,T1. ≥𝐒[h] ❪G1,L1,T1❫ →
+        (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+        Q G1 L1 T1
+      ) →
+      ∀G,L,T. ≥𝐒[h] ❪G,L,T❫ → Q G L T.
+#h #Q #IH #G #L #T #H elim H -G -L -T
 /4 width=1 by fsb_intro/
 qed-.