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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/relocation/llpx_sn_lpx_sn.ma".
16 include "basic_2/reduction/lpr.ma".
17 include "basic_2/reduction/llpx.ma".
19 (* LAZY SN EXTENDED PARALLEL REDUCTION FOR LOCAL ENVIRONMENTS ***************)
21 (* Properties on sn parallel reduction **************************************)
23 (* Note: this should be moved *)
24 lemma lpr_llpx: ∀h,g,G,L1,L2,T,d. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1⦄ ⊢ ➡[h, g, T, d] L2.
25 /3 width=4 by cpr_cpx, lpx_sn_llpx_sn, llpx_sn_co/ qed.