milestone in basic_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_computation / fsb.ma

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 8ae6b26e8b8e44ca793715dd43375c2b295d316b..936fabecadf84c56f9c305a216e7b062f8283f46 100644 (file)
--- 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. ∀Q: relation3 …. (
-                      ∀G1,L1,T1. ≥[h,o] 𝐒⦃G1, L1, T1⦄ → (
-                         ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → Q G2 L2 T2
+lemma fsb_ind_alt: ∀h. ∀Q: relation3 …. (
+                      ∀G1,L1,T1. ≥[h] 𝐒⦃G1, L1, T1⦄ → (
+                         ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → Q G2 L2 T2
                       ) → Q G1 L1 T1
                    ) →
-                   ∀G,L,T. ≥[h, o] 𝐒⦃G, L, T⦄ →  Q G L T.
-#h #o #Q #IH #G #L #T #H elim H -G -L -T
+                   ∀G,L,T. ≥[h] 𝐒⦃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-.