update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
index afe69742678d7275ee52ac0f415c66387ced770b..12c72dceb7e4c09444b0d56ccd49a63a5b594a88 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb_fpbg.ma
@@ -21,8 +21,8 @@ include "basic_2/rt_computation/fsb_feqg.ma".
 (* Properties with parallel rst-computation for closures ********************)
 
 lemma fsb_fpbs_trans:
-      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →
-      â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d« â\86\92 â\89¥ð\9d\90\92 â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© â\86\92 â\89¥ð\9d\90\92 â\9d¨G2,L2,T2â\9d©.
 #G1 #L1 #T1 #H @(fsb_ind … H) -G1 -L1 -T1
 #G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
 elim (fpbs_inv_fpbg … H12) -H12
@@ -35,27 +35,27 @@ qed-.
 (* Properties with parallel rst-transition for closures *********************)
 
 lemma fsb_fpb_trans:
-      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →
-      â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â\89½ â\9dªG2,L2,T2â\9d« â\86\92 â\89¥ð\9d\90\92 â\9dªG2,L2,T2â\9d«.
+      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© â\89½ â\9d¨G2,L2,T2â\9d© â\86\92 â\89¥ð\9d\90\92 â\9d¨G2,L2,T2â\9d©.
 /3 width=5 by fsb_fpbs_trans, fpb_fpbs/ qed-.
 
 (* Properties with proper parallel rst-computation for closures *************)
 
 lemma fsb_intro_fpbg:
       ∀G1,L1,T1.
-      (â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d« â\86\92 â\89¥ð\9d\90\92 â\9dªG2,L2,T2â\9d«) →
-      â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d«.
+      (â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d© â\86\92 â\89¥ð\9d\90\92 â\9d¨G2,L2,T2â\9d©) →
+      â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d©.
 /4 width=1 by fsb_intro, fpbc_fpbg/ qed.
 
 (* Eliminators with proper parallel rst-computation for closures ************)
 
 lemma fsb_ind_fpbg_fpbs (Q:relation3 …):
-      (â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →
-        (â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d« → Q G2 L2 T2) →
+      (â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →
+        (â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d© → Q G2 L2 T2) →
         Q G1 L1 T1
       ) →
-      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →
-      â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d« → Q G2 L2 T2.
+      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© → Q G2 L2 T2.
 #Q #IH1 #G1 #L1 #T1 #H @(fsb_ind … H) -G1 -L1 -T1
 #G1 #L1 #T1 #H1 #IH #G2 #L2 #T2 #H12
 @IH1 -IH1
@@ -68,11 +68,11 @@ lemma fsb_ind_fpbg_fpbs (Q:relation3 …):
 qed-.
 
 lemma fsb_ind_fpbg (Q:relation3 …):
-      (â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →
-        (â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« > â\9dªG2,L2,T2â\9d« → Q G2 L2 T2) →
+      (â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →
+        (â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© > â\9d¨G2,L2,T2â\9d© → Q G2 L2 T2) →
         Q G1 L1 T1
       ) →
-      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9dªG1,L1,T1â\9d« →  Q G1 L1 T1.
+      â\88\80G1,L1,T1. â\89¥ð\9d\90\92 â\9d¨G1,L1,T1â\9d© →  Q G1 L1 T1.
 #Q #IH #G1 #L1 #T1 #H @(fsb_ind_fpbg_fpbs … H) -H
 /3 width=1 by/
 qed-.
@@ -80,7 +80,7 @@ qed-.
 (* Inversion lemmas with proper parallel rst-computation for closures *******)
 
 lemma fsb_fpbg_refl_false (G) (L) (T):
-      â\89¥ð\9d\90\92 â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« > â\9dªG,L,Tâ\9d« → ⊥.
+      â\89¥ð\9d\90\92 â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G,L,Tâ\9d© > â\9d¨G,L,Tâ\9d© → ⊥.
 #G #L #T #H
 @(fsb_ind_fpbg … H) -G -L -T #G1 #L1 #T1 #_ #IH #H
 /2 width=5 by/