update in ground static_2 basic_2 apps_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / cnv_cpmre.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
index 48e99e557670a101e0404ef1579c2e59e744f505..c8c11b2b02c3a58172c4f2a0ba24d55fbe633e64 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpmre.ma
@@ -21,15 +21,15 @@ include "basic_2/dynamic/cnv_preserve.ma".
 (* Properties with t-bound evaluation on terms ******************************)
 
 lemma cnv_cpmre_trans (h) (a) (n) (G) (L):
-      â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ![h,a] →
-      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*ð\9d\90\8d[h,n] T2 â\86\92 â\9dªG,Lâ\9d« ⊢ T2 ![h,a].
+      â\88\80T1. â\9d¨G,Lâ\9d© ⊢ T1 ![h,a] →
+      â\88\80T2. â\9d¨G,Lâ\9d© â\8a¢ T1 â\9e¡*ð\9d\90\8d[h,n] T2 â\86\92 â\9d¨G,Lâ\9d© ⊢ T2 ![h,a].
 #h #a #n #G #L #T1 #HT1 #T2 * #HT12 #_
 /2 width=4 by cnv_cpms_trans/
 qed-.
 
 lemma cnv_cpmre_cpms_conf (h) (a) (n) (G) (L):
-      â\88\80T. â\9dªG,Lâ\9d« â\8a¢ T ![h,a] â\86\92 â\88\80T1. â\9dªG,Lâ\9d« ⊢ T ➡*[h,n] T1 →
-      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T â\9e¡*ð\9d\90\8d[h,n] T2 â\86\92 â\9dªG,Lâ\9d« ⊢ T1 ➡*𝐍[h,0] T2.
+      â\88\80T. â\9d¨G,Lâ\9d© â\8a¢ T ![h,a] â\86\92 â\88\80T1. â\9d¨G,Lâ\9d© ⊢ T ➡*[h,n] T1 →
+      â\88\80T2. â\9d¨G,Lâ\9d© â\8a¢ T â\9e¡*ð\9d\90\8d[h,n] T2 â\86\92 â\9d¨G,Lâ\9d© ⊢ T1 ➡*𝐍[h,0] T2.
 #h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
@@ -39,8 +39,8 @@ qed-.
 (* Main properties with evaluation for t-bound rt-transition on terms *****)
 
 theorem cnv_cpmre_mono (h) (a) (n) (G) (L):
-        â\88\80T. â\9dªG,Lâ\9d« â\8a¢ T ![h,a] â\86\92 â\88\80T1. â\9dªG,Lâ\9d« ⊢ T ➡*𝐍[h,n] T1 →
-        â\88\80T2. â\9dªG,Lâ\9d« ⊢ T ➡*𝐍[h,n] T2 → T1 = T2.
+        â\88\80T. â\9d¨G,Lâ\9d© â\8a¢ T ![h,a] â\86\92 â\88\80T1. â\9d¨G,Lâ\9d© ⊢ T ➡*𝐍[h,n] T1 →
+        â\88\80T2. â\9d¨G,Lâ\9d© ⊢ T ➡*𝐍[h,n] T2 → T1 = T2.
 #h #a #n #G #L #T0 #HT0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
 elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 <minus_n_n #T0 #HT10 #HT20
 /3 width=7 by cprs_inv_cnr_sn, canc_dx_eq/