update in ground_2, static_2, basic_2, apps_2, alpha_1

[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 b73fe99b5fe3146b0c23af1de9058bea2ca388c5..23e08858ceda58eeca0fca8fd1a6c22f5255ea54 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
@@ -19,13 +19,13 @@ include "basic_2/rt_transition/lpx.ma".
 
 (* Properties with extended structural successor for closures ***************)
 
-lemma lpx_fqu_trans (h) (b): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82[b] â¦\83G2,L2,T2â¦\84 →
-                             â\88\80K1. â¦\83G1,K1â¦\84 ⊢ ⬈[h] L1 →
-                             â\88\83â\88\83K2,T. â¦\83G1,K1â¦\84 â\8a¢ T1 â¬\88[h] T & â¦\83G1,K1,Tâ¦\84 â¬\82[b] â¦\83G2,K2,T2â¦\84 & â¦\83G2,K2â¦\84 ⊢ ⬈[h] L2.
+lemma lpx_fqu_trans (h) (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« ⊢ ⬈[h] L1 →
+                             â\88\83â\88\83K2,T. â\9dªG1,K1â\9d« â\8a¢ T1 â¬\88[h] T & â\9dªG1,K1,Tâ\9d« â¬\82[b] â\9dªG2,K2,T2â\9d« & â\9dªG2,K2â\9d« ⊢ ⬈[h] L2.
 #h #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
-  elim (lifts_total V (ð\9d\90\94â\9d´1â\9dµ)) #T #HVT
+  elim (lifts_total V (ð\9d\90\94â\9d¨1â\9d©)) #T #HVT
   /3 width=5 by cpx_delta, fqu_drop, ex3_2_intro/
 | /3 width=5 by cpx_pair_sn, fqu_pair_sn, ex3_2_intro/
 | /3 width=5 by lpx_bind_refl_dx, cpx_pair_sn, fqu_bind_dx, ex3_2_intro/
@@ -37,9 +37,9 @@ lemma lpx_fqu_trans (h) (b): ∀G1,G2,L1,L2,T1,T2. ⦃G1,L1,T1⦄ ⬂[b] ⦃G2,L
 ]
 qed-.
 
-lemma fqu_lpx_trans (h) (b): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82[b] â¦\83G2,L2,T2â¦\84 →
-                             â\88\80K2. â¦\83G2,L2â¦\84 ⊢ ⬈[h] K2 →
-                             â\88\83â\88\83K1,T. â¦\83G1,L1â¦\84 â\8a¢ â¬\88[h] K1 & â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88[h] T & â¦\83G1,K1,Tâ¦\84 â¬\82[b] â¦\83G2,K2,T2â¦\84.
+lemma fqu_lpx_trans (h) (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« ⊢ ⬈[h] K2 →
+                             â\88\83â\88\83K1,T. â\9dªG1,L1â\9d« â\8a¢ â¬\88[h] K1 & â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88[h] T & â\9dªG1,K1,Tâ\9d« â¬\82[b] â\9dªG2,K2,T2â\9d«.
 #h #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/
@@ -56,18 +56,18 @@ qed-.
 
 (* Properties with extended optional structural successor for closures ******)
 
-lemma lpx_fquq_trans (h) (b): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮[b] â¦\83G2,L2,T2â¦\84 →
-                              â\88\80K1. â¦\83G1,K1â¦\84 ⊢ ⬈[h] L1 →
-                              â\88\83â\88\83K2,T. â¦\83G1,K1â¦\84 â\8a¢ T1 â¬\88[h] T & â¦\83G1,K1,Tâ¦\84 â¬\82⸮[b] â¦\83G2,K2,T2â¦\84 & â¦\83G2,K2â¦\84 ⊢ ⬈[h] L2.
+lemma lpx_fquq_trans (h) (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« ⊢ ⬈[h] L1 →
+                              â\88\83â\88\83K2,T. â\9dªG1,K1â\9d« â\8a¢ T1 â¬\88[h] T & â\9dªG1,K1,Tâ\9d« â¬\82⸮[b] â\9dªG2,K2,T2â\9d« & â\9dªG2,K2â\9d« ⊢ ⬈[h] L2.
 #h #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/
 ]
 qed-.
 
-lemma fquq_lpx_trans (h) (b): â\88\80G1,G2,L1,L2,T1,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮[b] â¦\83G2,L2,T2â¦\84 →
-                              â\88\80K2. â¦\83G2,L2â¦\84 ⊢ ⬈[h] K2 →
-                              â\88\83â\88\83K1,T. â¦\83G1,L1â¦\84 â\8a¢ â¬\88[h] K1 & â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88[h] T & â¦\83G1,K1,Tâ¦\84 â¬\82⸮[b] â¦\83G2,K2,T2â¦\84.
+lemma fquq_lpx_trans (h) (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« ⊢ ⬈[h] K2 →
+                              â\88\83â\88\83K1,T. â\9dªG1,L1â\9d« â\8a¢ â¬\88[h] K1 & â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88[h] T & â\9dªG1,K1,Tâ\9d« â¬\82⸮[b] â\9dªG2,K2,T2â\9d«.
 #h #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/