X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_fqus.ma;h=2c4c560277abde1a15d754c9cf0c573062990dce;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=ee76d6762e3e589a189be8e8c8bbb22d099c7ee2;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git

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 ee76d6762..2c4c56027 100644
--- 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 +15,15 @@
 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,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ →
-                    ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
-#h #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_refl/
+lemma csx_fqu_conf (b):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,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/
 | /2 width=4 by csx_fwd_bind_dx_unit/
@@ -31,20 +32,23 @@ lemma csx_fqu_conf: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2,
 ]
 qed-.
 
-lemma csx_fquq_conf: ∀h,b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄ →
-                     ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 * /2 width=6 by csx_fqu_conf/
+lemma csx_fquq_conf (b):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂⸮[b] ❪G2,L2,T2❫ →
+      ❪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,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐+[b] ⦃G2, L2, T2⦄ →
-                     ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
+lemma csx_fqup_conf (b):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+[b] ❪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,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2, L2, T2⦄ →
-                     ⦃G1, L1⦄ ⊢ ⬈*[h] 𝐒⦃T1⦄ → ⦃G2, L2⦄ ⊢ ⬈*[h] 𝐒⦃T2⦄.
-#h #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -H
+lemma csx_fqus_conf (b):
+      ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂*[b] ❪G2,L2,T2❫ →
+      ❪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-.