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- some work on context equivalence of atomic arity assignment
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 (*        v         GNU General Public License Version 2                  *)
 (*                                                                        *)
 (**************************************************************************)
-
+(*
+include "basic_2/reducibility/lcpr_lcpr.ma".
+*)
 include "basic_2/computation/lcprs_cprs.ma".
 
 (* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *************)
 
+(* Advanced properties ******************************************************)
+
+axiom lcprs_strip: ∀L,L1. L ⊢ ➡* L1 → ∀L2. L ⊢ ➡ L2 →
+                   ∃∃L0. L1 ⊢ ➡ L0 & L2 ⊢ ➡* L0.
+(*
+/3 width=3/ qed.
+*)
 (* Main properties **********************************************************)
 
 theorem lcprs_trans: ∀L1,L. L1 ⊢ ➡* L → ∀L2. L ⊢ ➡* L2 → L1 ⊢ ➡* L2.