+++ /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/cprs_cnr.ma".
-include "basic_2/rt_computation/cprs_cprs.ma".
-include "basic_2/rt_computation/cpre.ma".
-
-(* EVALUATION FOR CONTEXT-SENSITIVE PARALLEL R-TRANSITION ON TERMS *********)
-
-(* Properties with context-sensitive parallel r-computation for terms ******)
-
-lemma cpre_cprs_conf (h) (G) (L) (T):
- ∀T1. ⦃G,L⦄ ⊢ T ➡*[h] T1 → ∀T2. ⦃G,L⦄ ⊢ T ➡*[h] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T1 ➡*[h] 𝐍⦃T2⦄.
-#h #G #L #T0 #T1 #HT01 #T2 * #HT02 #HT2
-elim (cprs_conf … HT01 … HT02) -T0 #T0 #HT10 #HT20
-lapply (cprs_inv_cnr_sn … HT20 HT2) -HT20 #H destruct
-/2 width=1 by cpme_intro/
-qed-.
-
-(* Main properties *********************************************************)
-
-(* Basic_1: was: nf2_pr3_confluence *)
-theorem cpre_mono (h) (G) (L) (T):
- ∀T1. ⦃G,L⦄ ⊢ T ➡*[h] 𝐍⦃T1⦄ → ∀T2. ⦃G,L⦄ ⊢ T ➡*[h] 𝐍⦃T2⦄ → T1 = T2.
-#h #G #L #T0 #T1 * #HT01 #HT1 #T2 * #HT02 #HT2
-elim (cprs_conf … HT01 … HT02) -T0 #T0 #HT10 #HT20
->(cprs_inv_cnr_sn … HT10 HT1) -T1
->(cprs_inv_cnr_sn … HT20 HT2) -T2 //
-qed-.