update in basic_2 and apps_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
index a636655eb00dcc6776191d11afb29951e9a86a7f..42e0aaf306cad3e5fb155e11cade2c68ffbc4e15 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma
@@ -19,10 +19,10 @@ include "basic_2/rt_computation/cpms_cpms.ma".
 
 (* Properties with parallel rt-transition for full local environments *******)
 
-lemma lpr_cpm_trans (n) (h) (G):
-                    â\88\80L2,T1,T2. â¦\83G, L2â¦\84 â\8a¢ T1 â\9e¡[n, h] T2 →
-                    â\88\80L1. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h] L2 â\86\92 â¦\83G, L1â¦\84 â\8a¢ T1 â\9e¡*[n, h] T2.
-#n #h #G #L2 #T1 #T2 #H @(cpm_ind … H) -n -G -L2 -T1 -T2
+lemma lpr_cpm_trans (h) (n) (G):
+                    â\88\80L2,T1,T2. â\9dªG,L2â\9d« â\8a¢ T1 â\9e¡[h,n] T2 →
+                    â\88\80L1. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L2 â\86\92 â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h,n] T2.
+#h #n #G #L2 #T1 #T2 #H @(cpm_ind … H) -n -G -L2 -T1 -T2
 [ /2 width=3 by/
 | /3 width=2 by cpm_cpms/
 | #n #G #K2 #V2 #V4 #W4 #_ #IH #HVW4 #L1 #H
@@ -45,25 +45,25 @@ lemma lpr_cpm_trans (n) (h) (G):
 ]
 qed-.
 
-lemma lpr_cpms_trans (n) (h) (G):
-                     â\88\80L1,L2. â¦\83G, L1â¦\84 â\8a¢ â\9e¡[h] L2 →
-                     â\88\80T1,T2. â¦\83G, L2â¦\84 â\8a¢ T1 â\9e¡*[n, h] T2 â\86\92 â¦\83G, L1â¦\84 â\8a¢ T1 â\9e¡*[n, h] T2.
-#n #h #G #L1 #L2 #HL12 #T1 #T2 #H @(cpms_ind_sn … H) -n -T1
+lemma lpr_cpms_trans (h) (n) (G):
+                     â\88\80L1,L2. â\9dªG,L1â\9d« â\8a¢ â\9e¡[h,0] L2 →
+                     â\88\80T1,T2. â\9dªG,L2â\9d« â\8a¢ T1 â\9e¡*[h,n] T2 â\86\92 â\9dªG,L1â\9d« â\8a¢ T1 â\9e¡*[h,n] T2.
+#h #n #G #L1 #L2 #HL12 #T1 #T2 #H @(cpms_ind_sn … H) -n -T1
 /3 width=3 by lpr_cpm_trans, cpms_trans/
 qed-.
 
 (* Advanced properties ******************************************************)
 
 (* Basic_2A1: includes cpr_bind2 *)
-lemma cpm_bind2 (n) (h) (G) (L):
-                â\88\80V1,V2. â¦\83G, Lâ¦\84 â\8a¢ V1 â\9e¡[h] V2 →
-                â\88\80I,T1,T2. â¦\83G, L.â\93\91{I}V2â¦\84 â\8a¢ T1 â\9e¡[n, h] T2 →
-                â\88\80p. â¦\83G, Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â\9e¡*[n, h] â\93\91{p,I}V2.T2.
+lemma cpm_bind2 (h) (n) (G) (L):
+                â\88\80V1,V2. â\9dªG,Lâ\9d« â\8a¢ V1 â\9e¡[h,0] V2 →
+                â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« â\8a¢ T1 â\9e¡[h,n] T2 →
+                â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â\9e¡*[h,n] â\93\91[p,I]V2.T2.
 /4 width=5 by lpr_cpm_trans, cpms_bind_dx, lpr_pair/ qed.
 
 (* Basic_2A1: includes cprs_bind2_dx *)
-lemma cpms_bind2_dx (n) (h) (G) (L):
-                    â\88\80V1,V2. â¦\83G, Lâ¦\84 â\8a¢ V1 â\9e¡[h] V2 →
-                    â\88\80I,T1,T2. â¦\83G, L.â\93\91{I}V2â¦\84 â\8a¢ T1 â\9e¡*[n, h] T2 →
-                    â\88\80p. â¦\83G, Lâ¦\84 â\8a¢ â\93\91{p,I}V1.T1 â\9e¡*[n, h] â\93\91{p,I}V2.T2.
+lemma cpms_bind2_dx (h) (n) (G) (L):
+                    â\88\80V1,V2. â\9dªG,Lâ\9d« â\8a¢ V1 â\9e¡[h,0] V2 →
+                    â\88\80I,T1,T2. â\9dªG,L.â\93\91[I]V2â\9d« â\8a¢ T1 â\9e¡*[h,n] T2 →
+                    â\88\80p. â\9dªG,Lâ\9d« â\8a¢ â\93\91[p,I]V1.T1 â\9e¡*[h,n] â\93\91[p,I]V2.T2.
 /4 width=5 by lpr_cpms_trans, cpms_bind_dx, lpr_pair/ qed.