+++ /dev/null
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-(* ___ *)
-(* ||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 *)
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-(**************************************************************************)
-
-include "basic_2/notation/relations/lazybtpredproper_8.ma".
-include "basic_2/multiple/fleq.ma".
-include "basic_2/reduction/fpbu.ma".
-
-(* "QRST" PROPER PARALLEL REDUCTION FOR CLOSURES ****************************)
-
-definition fpbc: ∀h. sd h → tri_relation genv lenv term ≝
- λh,g,G1,L1,T1,G2,L2,T2.
- ∃∃G,L,T. ⦃G1, L1, T1⦄ ≻[h, g] ⦃G, L, T⦄ & ⦃G, L, T⦄ ≡[0] ⦃G2, L2, T2⦄.
-
-interpretation
- "'qrst' proper parallel reduction (closure)"
- 'LazyBTPRedProper h g G1 L1 T1 G2 L2 T2 = (fpbc h g G1 L1 T1 G2 L2 T2).
-
-(* Baic properties **********************************************************)
-
-lemma fpbu_fpbc: ∀h,g,G1,G2,L1,L2,T1,T2.
- ⦃G1, L1, T1⦄ ≻[h, g] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ≻≡[h, g] ⦃G2, L2, T2⦄.
-/2 width=5 by ex2_3_intro/ qed.