update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
index 5c6176697fc77bf14924e4d8cf6c57a01d70f59d..65002c21ef6e746aafe101fb163eeafa1d3da878 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg.ma
@@ -21,7 +21,7 @@ include "basic_2/rt_computation/fpbs.ma".
 
 definition fpbg: tri_relation genv lenv term ≝
            λG1,L1,T1,G2,L2,T2.
-           â\88\83â\88\83G3,L3,T3,G4,L4,T4. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG3,L3,T3â\9d« & â\9dªG3,L3,T3â\9d« â\89» â\9dªG4,L4,T4â\9d« & â\9dªG4,L4,T4â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+           â\88\83â\88\83G3,L3,T3,G4,L4,T4. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G3,L3,T3â\9d© & â\9d¨G3,L3,T3â\9d© â\89» â\9d¨G4,L4,T4â\9d© & â\9d¨G4,L4,T4â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 
 interpretation
   "proper parallel rst-computation (closure)"
@@ -30,23 +30,23 @@ interpretation
 (* Basic inversion lemmas ***************************************************)
 
 lemma fpbg_inv_gen (G1) (G2) (L1) (L2) (T1) (T2):
-      â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d« →
-      â\88\83â\88\83G3,L3,T3,G4,L4,T4. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG3,L3,T3â\9d« & â\9dªG3,L3,T3â\9d« â\89» â\9dªG4,L4,T4â\9d« & â\9dªG4,L4,T4â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d© →
+      â\88\83â\88\83G3,L3,T3,G4,L4,T4. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G3,L3,T3â\9d© & â\9d¨G3,L3,T3â\9d© â\89» â\9d¨G4,L4,T4â\9d© & â\9d¨G4,L4,T4â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 // qed-.
 
 (* Basic properties *********************************************************)
 
 lemma fpbg_intro (G3) (G4) (L3) (L4) (T3) (T4):
       ∀G1,L1,T1,G2,L2,T2.
-      â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG3,L3,T3â\9d« â\86\92 â\9dªG3,L3,T3â\9d« â\89» â\9dªG4,L4,T4â\9d« →
-      â\9dªG4,L4,T4â\9d« â\89¥ â\9dªG2,L2,T2â\9d« â\86\92 â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
+      â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G3,L3,T3â\9d© â\86\92 â\9d¨G3,L3,T3â\9d© â\89» â\9d¨G4,L4,T4â\9d© →
+      â\9d¨G4,L4,T4â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© â\86\92 â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d©.
 /2 width=9 by ex3_6_intro/ qed.
 
 (* Basic_2A1: was: fpbg_fpbq_trans *)
 lemma fpbg_fpb_trans:
       ∀G1,G,G2,L1,L,L2,T1,T,T2.
-      â\9dªG1,L1,T1â\9d« > â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â\89½ â\9dªG2,L2,T2â\9d« →
-      â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
+      â\9d¨G1,L1,T1â\9d© > â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G,L,Tâ\9d© â\89½ â\9d¨G2,L2,T2â\9d© →
+      â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d©.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2
 elim (fpbg_inv_gen … H1) -H1
 /3 width=13 by fpbs_strap1, fpbg_intro/
@@ -55,8 +55,8 @@ qed-.
 (* Basic_2A1: was: fpbq_fpbg_trans *)
 lemma fpb_fpbg_trans:
       ∀G1,G,G2,L1,L,L2,T1,T,T2.
-      â\9dªG1,L1,T1â\9d« â\89½ â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« > â\9dªG2,L2,T2â\9d« →
-      â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d«.
+      â\9d¨G1,L1,T1â\9d© â\89½ â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G,L,Tâ\9d© > â\9d¨G2,L2,T2â\9d© →
+      â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d©.
 #G1 #G #G2 #L1 #L #L2 #T1 #T #T2 #H1 #H2
 elim (fpbg_inv_gen … H2) -H2
 /3 width=13 by fpbs_strap2, fpbg_intro/