update in ground static_2 basic_2 apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
index 1ce4ac358b0ae20a2b0fe8cb1aea0d28c28c3532..f49c3d568d571da048814ea011cb8ea8d4d7b94e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbs_fqup.ma
@@ -21,14 +21,14 @@ include "basic_2/rt_computation/fpbs.ma".
 
 lemma fpbs_ind:
       ∀G1,L1,T1. ∀Q:relation3 genv lenv term. Q G1 L1 T1 →
-      (â\88\80G,G2,L,L2,T,T2. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â\89½ â\9dªG2,L2,T2â\9d« → Q G L T → Q G2 L2 T2) →
-      â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d« → Q G2 L2 T2.
+      (â\88\80G,G2,L,L2,T,T2. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G,L,Tâ\9d© â\89½ â\9d¨G2,L2,T2â\9d© → Q G L T → Q G2 L2 T2) →
+      â\88\80G2,L2,T2. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© → Q G2 L2 T2.
 /3 width=8 by tri_TC_star_ind/ qed-.
 
 lemma fpbs_ind_dx:
       ∀G2,L2,T2. ∀Q:relation3 genv lenv term. Q G2 L2 T2 →
-      (â\88\80G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89½ â\9dªG,L,Tâ\9d« â\86\92 â\9dªG,L,Tâ\9d« â\89¥ â\9dªG2,L2,T2â\9d« → Q G L T → Q G1 L1 T1) →
-      â\88\80G1,L1,T1. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d« → Q G1 L1 T1.
+      (â\88\80G1,G,L1,L,T1,T. â\9d¨G1,L1,T1â\9d© â\89½ â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G,L,Tâ\9d© â\89¥ â\9d¨G2,L2,T2â\9d© → Q G L T → Q G1 L1 T1) →
+      â\88\80G1,L1,T1. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d© → Q G1 L1 T1.
 /3 width=8 by tri_TC_star_ind_dx/ qed-.
 
 (* Advanced properties ******************************************************)
@@ -40,21 +40,21 @@ lemma fpbs_refl:
 (* Properties with plus-iterated structural successor for closures **********)
 
 lemma fqup_fpbs:
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\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,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\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©.
 #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /4 width=5 by fqu_fquq, fquq_fpb, tri_step/
 qed.
 
 lemma fpbs_fqup_trans:
-      â\88\80G1,G,L1,L,T1,T. â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG,L,Tâ\9d« →
-      â\88\80G2,L2,T2. â\9dªG,L,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,G,L1,L,T1,T. â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G,L,Tâ\9d© →
+      â\88\80G2,L2,T2. â\9d¨G,L,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©.
 #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H @(fqup_ind … H) -G2 -L2 -T2
 /3 width=5 by fpbs_strap1, fqu_fpb/
 qed-.
 
 lemma fqup_fpbs_trans:
-      â\88\80G,G2,L,L2,T,T2. â\9dªG,L,Tâ\9d« â\89¥ â\9dªG2,L2,T2â\9d« →
-      â\88\80G1,L1,T1. â\9dªG1,L1,T1â\9d« â¬\82+ â\9dªG,L,Tâ\9d« â\86\92 â\9dªG1,L1,T1â\9d« â\89¥ â\9dªG2,L2,T2â\9d«.
+      â\88\80G,G2,L,L2,T,T2. â\9d¨G,L,Tâ\9d© â\89¥ â\9d¨G2,L2,T2â\9d© →
+      â\88\80G1,L1,T1. â\9d¨G1,L1,T1â\9d© â¬\82+ â\9d¨G,L,Tâ\9d© â\86\92 â\9d¨G1,L1,T1â\9d© â\89¥ â\9d¨G2,L2,T2â\9d©.
 #G #G2 #L #L2 #T #T2 #H1 #G1 #L1 #T1 #H @(fqup_ind_dx … H) -G1 -L1 -T1
 /3 width=9 by fpbs_strap2, fqu_fpb/
 qed-.
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