update in ground_2, static_2, basic_2, apps_2, alpha_1

[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 709b47242fbd6217adff158d1c1ba902ce3b9b2d..aa9840d0c28f625716f0d209a59794a9d74a3daa 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¦\83G,Lâ¦\84 ⊢ T1 ![h,a] →
-      â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[h,n] ð\9d\90\8dâ¦\83T2â¦\84 â\86\92 â¦\83G,Lâ¦\84 ⊢ T2 ![h,a].
+      â\88\80T1. â\9dªG,Lâ\9d« ⊢ T1 ![h,a] →
+      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[h,n] ð\9d\90\8dâ\9dªT2â\9d« â\86\92 â\9dªG,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¦\83G,Lâ¦\84 â\8a¢ T ![h,a] â\86\92 â\88\80T1. â¦\83G,Lâ¦\84 ⊢ T ➡*[n,h] T1 →
-      â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ¦\83T2â¦\84 â\86\92 â¦\83G,Lâ¦\84 â\8a¢ T1 â\9e¡*[h] ð\9d\90\8dâ¦\83T2â¦\84.
+      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] T1 →
+      â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ\9dªT2â\9d« â\86\92 â\9dªG,Lâ\9d« â\8a¢ T1 â\9e¡*[h] ð\9d\90\8dâ\9dªT2â\9d«.
 #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¦\83G,Lâ¦\84 â\8a¢ T ![h,a] â\86\92 â\88\80T1. â¦\83G,Lâ¦\84 â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ¦\83T1â¦\84 →
-        â\88\80T2. â¦\83G,Lâ¦\84 â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ¦\83T2â¦\84 → T1 = T2.
+        â\88\80T. â\9dªG,Lâ\9d« â\8a¢ T ![h,a] â\86\92 â\88\80T1. â\9dªG,Lâ\9d« â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ\9dªT1â\9d« →
+        â\88\80T2. â\9dªG,Lâ\9d« â\8a¢ T â\9e¡*[h,n] ð\9d\90\8dâ\9dªT2â\9d« → 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/