update in ground static_2 basic_2 apps_2

[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 52957ff1def2f8d4c4f86ab21fbb5402700c2a8a..c56b961fb0e4de05bf37800399dcbf0a7ca0182f 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
@@ -47,24 +47,24 @@ qed-.
 (* Advanced properties ******************************************************)
 
 lemma cpx_bind2 (G) (L):
-      â\88\80V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬈ V2 →
-      â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬈ T2 →
-      â\88\80p. â\9dªG,Lâ\9d« ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[p,I]V2.T2.
+      â\88\80V1,V2. â\9d¨G,Lâ\9d© ⊢ V1 ⬈ V2 →
+      â\88\80I,T1,T2. â\9d¨G,L.â\93\91[I]V2â\9d© ⊢ T1 ⬈ T2 →
+      â\88\80p. â\9d¨G,Lâ\9d© ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[p,I]V2.T2.
 /4 width=5 by lpx_cpx_trans, cpxs_bind_dx, lpx_pair/ qed.
 
 lemma cpxs_bind2_dx (G) (L):
-      â\88\80V1,V2. â\9dªG,Lâ\9d« ⊢ V1 ⬈ V2 →
-      â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« ⊢ T1 ⬈* T2 →
-      â\88\80p. â\9dªG,Lâ\9d« ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[p,I]V2.T2.
+      â\88\80V1,V2. â\9d¨G,Lâ\9d© ⊢ V1 ⬈ V2 →
+      â\88\80I,T1,T2. â\9d¨G,L.â\93\91[I]V2â\9d© ⊢ T1 ⬈* T2 →
+      â\88\80p. â\9d¨G,Lâ\9d© ⊢ ⓑ[p,I]V1.T1 ⬈* ⓑ[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 (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 @(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/
@@ -79,9 +79,9 @@ qed-.
 
 (* Basic_2A1: uses: lpx_fqus_trans *)
 lemma lpx_fqus_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 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/