+++ /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/reducibility/ltpr_tpss.ma".
-include "basic_2/reducibility/cpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
-
-(* Properties on partial unfold for terms ***********************************)
-
-lemma cpr_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
- ∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ➡ T2.
-#L #T1 #T * #T0 #HT10 #HT0 #T2 #d #e #HT2
-lapply (tpss_weak_full … HT2) -HT2 #HT2
-lapply (tpss_trans_eq … HT0 HT2) -T /2 width=3/
-qed.
-
-lemma cpr_tps_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
- ∀T2,d,e. L ⊢ T ▶ [d, e] T2 → L ⊢ T1 ➡ T2.
-/3 width=5/ qed.
-
-lemma cpr_tpss_conf: ∀L,T0,T1. L ⊢ T0 ➡ T1 →
- ∀T2,d,e. L ⊢ T0 ▶* [d, e] T2 →
- ∃∃T. L ⊢ T1 ▶* [d, e] T & L ⊢ T2 ➡ T.
-#L #T0 #T1 * #U0 #HTU0 #HU0T1 #T2 #d #e #HT02
-elim (tpr_tpss_conf … HTU0 … HT02) -T0 #T0 #HT20 #HUT0
-elim (tpss_conf_eq … HU0T1 … HUT0) -U0 /3 width=5/
-qed-.