X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb_aaa.ma;h=4da3d3d9f723176748e7437f2e3f79158b345431;hb=e23331eef5817eaa6c5e1c442d1d6bbb18650573;hp=a87de3b2b3698846a1316c3c01abdcb8ba9ee25e;hpb=57ae1762497a5f3ea75740e2908e04adb8642cc2;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma
index a87de3b2b..4da3d3d9f 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_aaa.ma
@@ -14,58 +14,57 @@
 
 include "basic_2/rt_computation/csx_aaa.ma".
 include "basic_2/rt_computation/fpbs_aaa.ma".
-include "basic_2/rt_computation/fpbs_fpb.ma".
 include "basic_2/rt_computation/fsb_csx.ma".
 
 (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************)
 
 (* Main properties with atomic arity assignment for terms *******************)
 
-theorem aaa_fsb (h):
-        ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → ≥𝐒[h] ❪G,L,T❫.
+theorem aaa_fsb (G) (L) (T) (A):
+        ❪G,L❫ ⊢ T ⁝ A → ≥𝐒 ❪G,L,T❫.
 /3 width=2 by aaa_csx, csx_fsb/ qed.
 
 (* Advanced eliminators with atomic arity assignment for terms **************)
 
-fact aaa_ind_fpb_aux (h) (Q:relation3 …):
+fact aaa_ind_fpbc_aux (Q:relation3 …):
      (∀G1,L1,T1,A.
        ❪G1,L1❫ ⊢ T1 ⁝ A →
-       (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+       (∀G2,L2,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ → Q G2 L2 T2) →
        Q G1 L1 T1
      ) →
-     ∀G,L,T. ❪G,L❫ ⊢ ⬈*𝐒[h] T → ∀A. ❪G,L❫ ⊢ T ⁝ A →  Q G L T.
-#h #R #IH #G #L #T #H @(csx_ind_fpb … H) -G -L -T
+     ∀G,L,T. ❪G,L❫ ⊢ ⬈*𝐒 T → ∀A. ❪G,L❫ ⊢ T ⁝ A →  Q G L T.
+#R #IH #G #L #T #H @(csx_ind_fpbc … H) -G -L -T
 #G1 #L1 #T1 #H1 #IH1 #A1 #HTA1 @IH -IH //
 #G2 #L2 #T2 #H12 elim (fpbs_aaa_conf … G2 … L2 … T2 … HTA1) -A1
-/2 width=2 by fpb_fpbs/
+/2 width=2 by fpbc_fpbs/
 qed-.
 
-lemma aaa_ind_fpb (h) (Q:relation3 …):
+lemma aaa_ind_fpbc (Q:relation3 …):
       (∀G1,L1,T1,A.
         ❪G1,L1❫ ⊢ T1 ⁝ A →
-        (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+        (∀G2,L2,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ → Q G2 L2 T2) →
         Q G1 L1 T1
       ) →
       ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → Q G L T.
-/4 width=4 by aaa_ind_fpb_aux, aaa_csx/ qed-.
+/4 width=4 by aaa_ind_fpbc_aux, aaa_csx/ qed-.
 
-fact aaa_ind_fpbg_aux (h) (Q:relation3 …):
+fact aaa_ind_fpbg_aux (Q:relation3 …):
      (∀G1,L1,T1,A.
        ❪G1,L1❫ ⊢ T1 ⁝ A →
-       (∀G2,L2,T2. ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+       (∀G2,L2,T2. ❪G1,L1,T1❫ > ❪G2,L2,T2❫ → Q G2 L2 T2) →
        Q G1 L1 T1
      ) →
-     ∀G,L,T. ❪G,L❫ ⊢ ⬈*𝐒[h] T → ∀A. ❪G,L❫ ⊢ T ⁝ A →  Q G L T.
-#h #Q #IH #G #L #T #H @(csx_ind_fpbg … H) -G -L -T
+     ∀G,L,T. ❪G,L❫ ⊢ ⬈*𝐒 T → ∀A. ❪G,L❫ ⊢ T ⁝ A →  Q G L T.
+#Q #IH #G #L #T #H @(csx_ind_fpbg … H) -G -L -T
 #G1 #L1 #T1 #H1 #IH1 #A1 #HTA1 @IH -IH //
 #G2 #L2 #T2 #H12 elim (fpbs_aaa_conf … G2 … L2 … T2 … HTA1) -A1
 /2 width=2 by fpbg_fwd_fpbs/
 qed-.
 
-lemma aaa_ind_fpbg (h) (Q:relation3 …):
+lemma aaa_ind_fpbg (Q:relation3 …):
       (∀G1,L1,T1,A.
         ❪G1,L1❫ ⊢ T1 ⁝ A →
-        (∀G2,L2,T2. ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫ → Q G2 L2 T2) →
+        (∀G2,L2,T2. ❪G1,L1,T1❫ > ❪G2,L2,T2❫ → Q G2 L2 T2) →
         Q G1 L1 T1
       ) →
       ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → Q G L T.