+++ /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/static/aaa_ltpsss.ma".
-include "basic_2/reducibility/ltpr_aaa.ma".
-include "basic_2/reducibility/cpr.ma".
-include "basic_2/reducibility/lcpr.ma".
-
-(* CONTEXT-SENSITIVE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS *************)
-
-(* Properties about atomic arity assignment on terms ************************)
-
-lemma aaa_lcpr_conf: ∀L1,T,A. L1 ⊢ T ÷ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ÷ A.
-#L1 #T #A #HT #L2 * /3 width=5/
-qed.
-
-lemma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ÷ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ÷ A.
-#L #T1 #A #HT1 #T2 * /3 width=5/
-qed.
-
-lemma aaa_lcpr_cpr_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2. L1 ⊢ ➡ L2 →
- ∀T2. L2 ⊢ T1 ➡ T2 → L2 ⊢ T2 ÷ A.
-/3 width=3/ qed.