update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
index 4461f2f18b6a3ba6ba719522ca06b5afe8ffb763..85afa3bab6601f187da907717b9fe223ead8a0b9 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_cpxs.ma
@@ -21,47 +21,47 @@ include "basic_2/rt_computation/fpbs_fqus.ma".
 (* Properties with extended context-sensitive parallel rt-computation *******)
 
 lemma cpxs_fpbs:
-      â\88\80G,L,T1,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88* T2 â\86\92 â\9dªG,L,T1â\9d« â\89¥ â\9dªG,L,T2â\9d«.
+      â\88\80G,L,T1,T2. â\9d¨G,Lâ\9d© â\8a¢ T1 â¬\88* T2 â\86\92 â\9d¨G,L,T1â\9d© â\89¥ â\9d¨G,L,T2â\9d©.
 #G #L #T1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by cpx_fpb, fpbs_strap1/
 qed.
 
 lemma fpbs_cpxs_trans:
-      â\88\80G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG,L,Tâ\9d« →
-      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T â¬\88* T2 â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG,L,T2â\9d«.
+      â\88\80G1,G,L1,L,T1,T. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G,L,Tâ\9d© →
+      â\88\80T2. â\9d¨G,Lâ\9d© â\8a¢ T â¬\88* T2 â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G,L,T2â\9d©.
 #G1 #G #L1 #L #T1 #T #H1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by fpbs_strap1, cpx_fpb/
 qed-.
 
 lemma cpxs_fpbs_trans:
-      â\88\80G1,G2,L1,L2,T,T2. â\9dªG1,L1,Tâ\9d« â\89¥ â\9dªG2,L2,T2â\9d« →
-      â\88\80T1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88* T â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,G2,L1,L2,T,T2. â\9d¨G1,L1,Tâ\9d© â\89¥ â\9d¨G2,L2,T2â\9d© →
+      â\88\80T1. â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88* T â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 #G1 #G2 #L1 #L2 #T #T2 #H1 #T1 #H @(cpxs_ind_dx … H) -T1
 /3 width=5 by fpbs_strap2, cpx_fpb/
 qed-.
 
 lemma cpxs_teqg_fpbs_trans (S):
       reflexive … S → symmetric … S →
-      â\88\80G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈* T → ∀T0. T ≛[S] T0 →
-      â\88\80G2,L2,T2. â\9dªG1,L1,T0â\9d« â\89¥ â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1,T. â\9d¨G1,L1â\9d© ⊢ T1 ⬈* T → ∀T0. T ≛[S] T0 →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,T0â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 /3 width=6 by cpxs_fpbs_trans, teqg_fpbs_trans/ qed-.
 
 lemma cpxs_teqg_fpbs (S):
       reflexive … S → symmetric … S →
-      â\88\80G,L,T1,T. â\9dªG,Lâ\9d« ⊢ T1 ⬈* T →
-      â\88\80T2. T â\89\9b[S] T2 â\86\92 â\9dªG,L,T1â\9d« â\89¥ â\9dªG,L,T2â\9d«.
+      â\88\80G,L,T1,T. â\9d¨G,Lâ\9d© ⊢ T1 ⬈* T →
+      â\88\80T2. T â\89\9b[S] T2 â\86\92 â\9d¨G,L,T1â\9d© â\89¥ â\9d¨G,L,T2â\9d©.
 /4 width=5 by cpxs_fpbs_trans, feqg_fpbs, teqg_feqg/ qed.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
 lemma cpxs_fqup_fpbs:
-      â\88\80G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈* T →
-      â\88\80G2,L2,T2. â\9dªG1,L1,Tâ\9d« â¬\82+ â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1,T. â\9d¨G1,L1â\9d© ⊢ T1 ⬈* T →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,Tâ\9d© â¬\82+ â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 /3 width=5 by fpbs_fqup_trans, cpxs_fpbs/ qed.
 
 (* Properties with star-iterated structural successor for closures **********)
 
 lemma cpxs_fqus_fpbs:
-      â\88\80G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈* T →
-      â\88\80G2,L2,T2. â\9dªG1,L1,Tâ\9d« â¬\82* â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1,T. â\9d¨G1,L1â\9d© ⊢ T1 ⬈* T →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,Tâ\9d© â¬\82* â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 /3 width=5 by fpbs_fqus_trans, cpxs_fpbs/ qed.