update in ground_2, static_2, basic_2, apps_2, alpha_1

[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 a0534a0e326ecddee29768424520ca708503336d..872882627045d743ec98602281c9a1af8e8fde72 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
@@ -19,40 +19,40 @@ include "basic_2/rt_computation/fpbs_fqup.ma".
 
 (* Properties with unbound context-sensitive parallel rt-computation ********)
 
-lemma cpxs_fpbs: â\88\80h,G,L,T1,T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â¬\88*[h] T2 â\86\92 â¦\83G,L,T1â¦\84 â\89¥[h] â¦\83G,L,T2â¦\84.
+lemma cpxs_fpbs: â\88\80h,G,L,T1,T2. â\9dªG,Lâ\9d« â\8a¢ T1 â¬\88*[h] T2 â\86\92 â\9dªG,L,T1â\9d« â\89¥[h] â\9dªG,L,T2â\9d«.
 #h #G #L #T1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by fpbq_cpx, fpbs_strap1/
 qed.
 
-lemma fpbs_cpxs_trans: â\88\80h,G1,G,L1,L,T1,T. â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G,L,Tâ¦\84 →
-                       â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T â¬\88*[h] T2 â\86\92 â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G,L,T2â¦\84.
+lemma fpbs_cpxs_trans: â\88\80h,G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89¥[h] â\9dªG,L,Tâ\9d« →
+                       â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T â¬\88*[h] T2 â\86\92 â\9dªG1,L1,T1â\9d« â\89¥[h] â\9dªG,L,T2â\9d«.
 #h #G1 #G #L1 #L #T1 #T #H1 #T2 #H @(cpxs_ind … H) -T2
 /3 width=5 by fpbs_strap1, fpbq_cpx/
 qed-.
 
-lemma cpxs_fpbs_trans: â\88\80h,G1,G2,L1,L2,T,T2. â¦\83G1,L1,Tâ¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84 →
-                       â\88\80T1. â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88*[h] T â\86\92 â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84.
+lemma cpxs_fpbs_trans: â\88\80h,G1,G2,L1,L2,T,T2. â\9dªG1,L1,Tâ\9d« â\89¥[h] â\9dªG2,L2,T2â\9d« →
+                       â\88\80T1. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88*[h] T â\86\92 â\9dªG1,L1,T1â\9d« â\89¥[h] â\9dªG2,L2,T2â\9d«.
 #h #G1 #G2 #L1 #L2 #T #T2 #H1 #T1 #H @(cpxs_ind_dx … H) -T1
 /3 width=5 by fpbs_strap2, fpbq_cpx/
 qed-.
 
-lemma cpxs_teqx_fpbs_trans: â\88\80h,G1,L1,T1,T. â¦\83G1,L1â¦\84 ⊢ T1 ⬈*[h] T →
+lemma cpxs_teqx_fpbs_trans: â\88\80h,G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈*[h] T →
                             ∀T0. T ≛ T0 →
-                            â\88\80G2,L2,T2. â¦\83G1,L1,T0â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84.
+                            â\88\80G2,L2,T2. â\9dªG1,L1,T0â\9d« â\89¥[h] â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89¥[h] â\9dªG2,L2,T2â\9d«.
 /3 width=3 by cpxs_fpbs_trans, teqx_fpbs_trans/ qed-.
 
-lemma cpxs_teqx_fpbs: â\88\80h,G,L,T1,T. â¦\83G,Lâ¦\84 ⊢ T1 ⬈*[h] T →
-                      â\88\80T2. T â\89\9b T2 â\86\92 â¦\83G,L,T1â¦\84 â\89¥[h] â¦\83G,L,T2â¦\84.
+lemma cpxs_teqx_fpbs: â\88\80h,G,L,T1,T. â\9dªG,Lâ\9d« ⊢ T1 ⬈*[h] T →
+                      â\88\80T2. T â\89\9b T2 â\86\92 â\9dªG,L,T1â\9d« â\89¥[h] â\9dªG,L,T2â\9d«.
 /4 width=3 by cpxs_fpbs_trans, feqx_fpbs, teqx_feqx/ qed.
 
 (* Properties with star-iterated structural successor for closures **********)
 
-lemma cpxs_fqus_fpbs: â\88\80h,G1,L1,T1,T. â¦\83G1,L1â¦\84 ⊢ T1 ⬈*[h] T →
-                      â\88\80G2,L2,T2. â¦\83G1,L1,Tâ¦\84 â¬\82* â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84.
+lemma cpxs_fqus_fpbs: â\88\80h,G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈*[h] 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¥[h] â\9dªG2,L2,T2â\9d«.
 /3 width=5 by fpbs_fqus_trans, cpxs_fpbs/ qed.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
-lemma cpxs_fqup_fpbs: â\88\80h,G1,L1,T1,T. â¦\83G1,L1â¦\84 ⊢ T1 ⬈*[h] T →
-                      â\88\80G2,L2,T2. â¦\83G1,L1,Tâ¦\84 â¬\82+ â¦\83G2,L2,T2â¦\84 â\86\92 â¦\83G1,L1,T1â¦\84 â\89¥[h] â¦\83G2,L2,T2â¦\84.
+lemma cpxs_fqup_fpbs: â\88\80h,G1,L1,T1,T. â\9dªG1,L1â\9d« ⊢ T1 ⬈*[h] 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¥[h] â\9dªG2,L2,T2â\9d«.
 /3 width=5 by fpbs_fqup_trans, cpxs_fpbs/ qed.