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_aaa.ma;h=b03c6a61533847c5df34d67db3c4f40faa11caff;hp=a87de3b2b3698846a1316c3c01abdcb8ba9ee25e;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea

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..b03c6a615 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
@@ -21,51 +21,51 @@ include "basic_2/rt_computation/fsb_csx.ma".
 
 (* 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_fpb_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_fpb … 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/
 qed-.
 
-lemma aaa_ind_fpb (h) (Q:relation3 …):
+lemma aaa_ind_fpb (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-.
 
-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.