update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / lpx_fquq.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fquq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fquq.ma
index 1198a5fed0346f3898083a413a48ed724bd9467b..3cb9f8e25beb85e8aa8d8e6532e32f2b96b5249e 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fquq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lpx_fquq.ma
@@ -20,9 +20,9 @@ include "basic_2/rt_transition/lpx.ma".
 (* Properties with extended structural successor for closures ***************)
 
 lemma lpx_fqu_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80K1. â\9dªG1,K1â\9d« ⊢ ⬈ L1 →
-      â\88\83â\88\83K2,T. â\9dªG1,K1â\9d« â\8a¢ T1 â¬\88 T & â\9dªG1,K1,Tâ\9d« â¬\82[b] â\9dªG2,K2,T2â\9d« & â\9dªG2,K2â\9d« ⊢ ⬈ L2.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80K1. â\9d¨G1,K1â\9d© ⊢ ⬈ L1 →
+      â\88\83â\88\83K2,T. â\9d¨G1,K1â\9d© â\8a¢ T1 â¬\88 T & â\9d¨G1,K1,Tâ\9d© â¬\82[b] â\9d¨G2,K2,T2â\9d© & â\9d¨G2,K2â\9d© ⊢ ⬈ L2.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ #I #G #K #V #K1 #H
   elim (lpx_inv_pair_dx … H) -H #K0 #V0 #HK0 #HV0 #H destruct
@@ -39,9 +39,9 @@ lemma lpx_fqu_trans (b):
 qed-.
 
 lemma fqu_lpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80K2. â\9dªG2,L2â\9d« ⊢ ⬈ K2 →
-      â\88\83â\88\83K1,T. â\9dªG1,L1â\9d« â\8a¢ â¬\88 K1 & â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 T & â\9dªG1,K1,Tâ\9d« â¬\82[b] â\9dªG2,K2,T2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80K2. â\9d¨G2,L2â\9d© ⊢ ⬈ K2 →
+      â\88\83â\88\83K1,T. â\9d¨G1,L1â\9d© â\8a¢ â¬\88 K1 & â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 T & â\9d¨G1,K1,Tâ\9d© â¬\82[b] â\9d¨G2,K2,T2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2
 [ /3 width=5 by lpx_bind_refl_dx, fqu_lref_O, ex3_2_intro/
 | /3 width=5 by cpx_pair_sn, fqu_pair_sn, ex3_2_intro/
@@ -59,9 +59,9 @@ qed-.
 (* Properties with extended optional structural successor for closures ******)
 
 lemma lpx_fquq_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80K1. â\9dªG1,K1â\9d« ⊢ ⬈ L1 →
-      â\88\83â\88\83K2,T. â\9dªG1,K1â\9d« â\8a¢ T1 â¬\88 T & â\9dªG1,K1,Tâ\9d« â¬\82⸮[b] â\9dªG2,K2,T2â\9d« & â\9dªG2,K2â\9d« ⊢ ⬈ L2.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82⸮[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80K1. â\9d¨G1,K1â\9d© ⊢ ⬈ L1 →
+      â\88\83â\88\83K2,T. â\9d¨G1,K1â\9d© â\8a¢ T1 â¬\88 T & â\9d¨G1,K1,Tâ\9d© â¬\82⸮[b] â\9d¨G2,K2,T2â\9d© & â\9d¨G2,K2â\9d© ⊢ ⬈ L2.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H #K1 #HKL1 cases H -H
 [ #H12 elim (lpx_fqu_trans … H12 … HKL1) -L1 /3 width=5 by fqu_fquq, ex3_2_intro/
 | * #H1 #H2 #H3 destruct /2 width=5 by ex3_2_intro/
@@ -69,9 +69,9 @@ lemma lpx_fquq_trans (b):
 qed-.
 
 lemma fquq_lpx_trans (b):
-      â\88\80G1,G2,L1,L2,T1,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮[b] â\9dªG2,L2,T2â\9d« →
-      â\88\80K2. â\9dªG2,L2â\9d« ⊢ ⬈ K2 →
-      â\88\83â\88\83K1,T. â\9dªG1,L1â\9d« â\8a¢ â¬\88 K1 & â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 T & â\9dªG1,K1,Tâ\9d« â¬\82⸮[b] â\9dªG2,K2,T2â\9d«.
+      â\88\80G1,G2,L1,L2,T1,T2. â\9d¨G1,L1,T1â\9d© â¬\82⸮[b] â\9d¨G2,L2,T2â\9d© →
+      â\88\80K2. â\9d¨G2,L2â\9d© ⊢ ⬈ K2 →
+      â\88\83â\88\83K1,T. â\9d¨G1,L1â\9d© â\8a¢ â¬\88 K1 & â\9d¨G1,L1â\9d© â\8a¢ T1 â¬\88 T & â\9d¨G1,K1,Tâ\9d© â¬\82⸮[b] â\9d¨G2,K2,T2â\9d©.
 #b #G1 #G2 #L1 #L2 #T1 #T2 #H #K2 #HLK2 cases H -H
 [ #H12 elim (fqu_lpx_trans … H12 … HLK2) /3 width=5 by fqu_fquq, ex3_2_intro/
 | * #H1 #H2 #H3 destruct /2 width=5 by ex3_2_intro/