milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma
index 811435f343df1922ce9544bbb08270021652e189..2c4c560277abde1a15d754c9cf0c573062990dce 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma
@@ -15,14 +15,14 @@
 include "static_2/s_computation/fqus.ma".
 include "basic_2/rt_computation/csx_lsubr.ma".
 
-(* STRONGLY NORMALIZING TERMS FOR UNBOUND PARALLEL RT-TRANSITION ************)
+(* STRONGLY NORMALIZING TERMS FOR EXTENDED PARALLEL RT-TRANSITION ***********)
 
 (* Properties with extended supclosure **************************************)
 
-lemma csx_fqu_conf (h) (b):
+lemma csx_fqu_conf (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ →
-      ❪G1,L1❫ ⊢ ⬈*𝐒[h] T1 → ❪G2,L2❫ ⊢ ⬈*𝐒[h] T2.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
+      ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ /3 width=5 by csx_inv_lref_pair_drops, drops_refl/
 | /2 width=3 by csx_fwd_pair_sn/
 | /2 width=2 by csx_fwd_bind_dx/
@@ -32,23 +32,23 @@ lemma csx_fqu_conf (h) (b):
 ]
 qed-.
 
-lemma csx_fquq_conf (h) (b):
+lemma csx_fquq_conf (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂⸮[b] ❪G2,L2,T2❫ →
-      ❪G1,L1❫ ⊢ ⬈*𝐒[h] T1 → ❪G2,L2❫ ⊢ ⬈*𝐒[h] T2.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 * /2 width=6 by csx_fqu_conf/
+      ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#b #G1 #G2 #L1 #L2 #T1 #T2 * /2 width=6 by csx_fqu_conf/
 * #HG #HL #HT destruct //
 qed-.
 
-lemma csx_fqup_conf (h) (b):
+lemma csx_fqup_conf (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+[b] ❪G2,L2,T2❫ →
-      ❪G1,L1❫ ⊢ ⬈*𝐒[h] T1 → ❪G2,L2❫ ⊢ ⬈*𝐒[h] T2.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
+      ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /3 width=6 by csx_fqu_conf/
 qed-.
 
-lemma csx_fqus_conf (h) (b):
+lemma csx_fqus_conf (b):
       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂*[b] ❪G2,L2,T2❫ →
-      ❪G1,L1❫ ⊢ ⬈*𝐒[h] T1 → ❪G2,L2❫ ⊢ ⬈*𝐒[h] T2.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -H
+      ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2.
+#b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -H
 /3 width=6 by csx_fquq_conf/
 qed-.