+++ /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/cpr_tpss.ma".
-include "basic_2/computation/cprs.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON TERMS **************************)
-
-(* Properties on partial unfold for terms ***********************************)
-
-lemma cprs_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡* T →
- ∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ➡* T2.
-#L #T1 #T #H @(cprs_ind … H) -T /2 width=3/ /3 width=5/
-qed.
-
-lemma cprs_tps_trans: ∀L,T1,T. L ⊢ T1 ➡* T →
- ∀T2,d,e. L ⊢ T ▶ [d, e] T2 → L ⊢ T1 ➡* T2.
-/3 width=5 by inj, cprs_tpss_trans/ qed. (**) (* auto too slow without trace *)
-
-lemma cprs_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 #H @(cprs_ind … H) -T1 /2 width=3/
-#T #T1 #_ #HT1 #IHT0 #T2 #d #e #HT02
-elim (IHT0 … HT02) -T0 #T0 #HT0 #HT20
-elim (cpr_tpss_conf … HT1 … HT0) -T /3 width=5/
-qed-.