X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb.ma;h=dc6cd669412c610a622981e96c867588e7e8bbcb;hp=72c73ae87ea0fe4b55be75eb276178d9cfcc40de;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea

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 72c73ae87..dc6cd6694 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_4.ma".
+include "basic_2/notation/relations/predsubtystrong_3.ma".
 include "basic_2/rt_transition/fpb.ma".
 
 (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************)
 
-inductive fsb (h): relation3 genv lenv term ≝
-| fsb_intro: ∀G1,L1,T1. (
-               ∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → fsb h G2 L2 T2
-             ) → fsb h G1 L1 T1
+inductive fsb: relation3 genv lenv term ≝
+| fsb_intro: ∀G1,L1,T1.
+             (∀G2,L2,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ → fsb G2 L2 T2) →
+             fsb G1 L1 T1
 .
 
 interpretation
-   "strong normalization for parallel rst-transition (closure)"
-   'PRedSubTyStrong h G L T = (fsb h G L T).
+  "strong normalization for parallel rst-transition (closure)"
+  'PRedSubTyStrong G L T = (fsb G L T).
 
 (* Basic eliminators ********************************************************)
 
 (* Note: eliminator with shorter ground hypothesis *)
 (* 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) →
+lemma fsb_ind_alt (Q:relation3 …):
+      (∀G1,L1,T1. ≥𝐒 ❪G1,L1,T1❫ →
+        (∀G2,L2,T2. ❪G1,L1,T1❫ ≻ ❪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
+      ∀G,L,T. ≥𝐒 ❪G,L,T❫ → Q G L T.
+#Q #IH #G #L #T #H elim H -G -L -T
 /4 width=1 by fsb_intro/
 qed-.