--- /dev/null
+(**************************************************************************)
+(* ___ *)
+(* ||M|| *)
+(* ||A|| A project by Andrea Asperti *)
+(* ||T|| *)
+(* ||I|| Developers: *)
+(* ||T|| The HELM team. *)
+(* ||A|| http://helm.cs.unibo.it *)
+(* \ / *)
+(* \ / This file is distributed under the terms of the *)
+(* v GNU General Public License Version 2 *)
+(* *)
+(**************************************************************************)
+
+include "basic_2/rt_computation/cpme_aaa.ma".
+include "basic_2/rt_computation/cnuw_cnuw.ma".
+include "basic_2/rt_computation/cpmuwe.ma".
+include "basic_2/dynamic/cnv_cpme.ma".
+
+(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
+
+(* Advanced Properties with t-unbound whd evaluation on terms ***************)
+
+lemma cnv_R_cpmuwe_dec (a) (h) (G) (L):
+ ∀T. ⦃G,L⦄ ⊢ T ![a,h] → ∀n. Decidable (R_cpmuwe h G L T n).
+#a #h #G #L #T1 #HT1 #n
+elim (cnv_fwd_aaa … HT1) #A #HA
+elim (cpme_total_aaa h n … HA) -HA #T2 #HT12
+elim (cnuw_dec h G L T2) #HnT1
+[ /5 width=3 by cpme_fwd_cpms, cpmuwe_intro, ex_intro, or_introl/
+| @or_intror * #T3 * #HT13 #HT3
+ lapply (cnv_cpme_cpms_conf … HT1 … HT13 … HT12) -a -T1 #HT32
+ /4 width=9 by cpme_fwd_cpms, cnuw_cpms_trans/
+]
+qed-.