--- /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/cpms_cpms.ma".
+include "basic_2/rt_computation/cprre.ma".
+
+(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS **********)
+
+(* Properties with t-bound rt-computarion on terms **************************)
+
+lemma cpms_cprre_trans (h) (n) (G) (L):
+ ∀T1,T0. ⦃G,L⦄ ⊢T1 ➡*[n,h] T0 →
+ ∀T2. ⦃G,L⦄ ⊢ T0 ➡*[h] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h,n] 𝐍⦃T2⦄.
+#h #n #G #L #T1 #T0 #HT10 #T2 * #HT02 #HT2
+/3 width=3 by cpms_cprs_trans, cpmre_intro/
+qed-.