update in ground_2, static_2, basic_2, apps_2, alpha_1

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
index 599e41a203e90fede89e156c7f71bee5b3979c7e..43aee248dc99ffc86d762fff574cc078a3356b13 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_lpx.ma
@@ -44,22 +44,22 @@ qed-.
 
 (* Advanced properties ******************************************************)
 
-lemma cpx_bind2: â\88\80h,G,L,V1,V2. â¦\83G,Lâ¦\84 ⊢ V1 ⬈[h] V2 →
-                 â\88\80I,T1,T2. â¦\83G,L.â\93\91{I}V2â¦\84 ⊢ T1 ⬈[h] T2 →
-                 â\88\80p. â¦\83G,Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â¬\88*[h] â\93\91{p,I}V2.T2.
+lemma cpx_bind2: â\88\80h,G,L,V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬈[h] V2 →
+                 â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬈[h] T2 →
+                 â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â¬\88*[h] â\93\91[p,I]V2.T2.
 /4 width=5 by lpx_cpx_trans, cpxs_bind_dx, lpx_pair/ qed.
 
-lemma cpxs_bind2_dx: â\88\80h,G,L,V1,V2. â¦\83G,Lâ¦\84 ⊢ V1 ⬈[h] V2 →
-                     â\88\80I,T1,T2. â¦\83G,L.â\93\91{I}V2â¦\84 ⊢ T1 ⬈*[h] T2 →
-                     â\88\80p. â¦\83G,Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â¬\88*[h] â\93\91{p,I}V2.T2.
+lemma cpxs_bind2_dx: â\88\80h,G,L,V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬈[h] V2 →
+                     â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬈*[h] T2 →
+                     â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â¬\88*[h] â\93\91[p,I]V2.T2.
 /4 width=5 by lpx_cpxs_trans, cpxs_bind_dx, lpx_pair/ qed.
 
 (* Properties with plus-iterated structural successor for closures **********)
 
 (* Basic_2A1: uses: lpx_fqup_trans *)
-lemma lpx_fqup_trans: â\88\80h,b,G1,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_fqup_trans: â\88\80h,b,G1,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 @(fqup_ind … H) -G2 -L2 -T2
 [ #G2 #L2 #T2 #H12 #K1 #HKL1 elim (lpx_fqu_trans … H12 … HKL1) -L1
   /3 width=5 by cpx_cpxs, fqu_fqup, ex3_2_intro/
@@ -73,9 +73,9 @@ qed-.
 (* Properties with star-iterated structural successor for closures **********)
 
 (* Basic_2A1: uses: lpx_fqus_trans *)
-lemma lpx_fqus_trans: â\88\80h,b,G1,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_fqus_trans: â\88\80h,b,G1,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 elim (fqus_inv_fqup … H) -H
 [ #H12 elim (lpx_fqup_trans … H12 … HKL1) -L1 /3 width=5 by fqup_fqus, ex3_2_intro/
 | * #H1 #H2 #H3 destruct /2 width=5 by ex3_2_intro/