1 (**************************************************************************)
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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11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/reduction/llpx_aaa.ma".
16 include "basic_2/computation/llpxs.ma".
18 (* LAZY SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS **************)
20 (* Properties about atomic arity assignment on terms ************************)
22 lemma aaa_llpxs_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
23 ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, g, T, 0] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
24 #h #g #G #L1 #T #A #HT #L2 #HL12
25 @(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by aaa_llpx_conf/
28 lamma aaa_llprs_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
29 ∀L2. ⦃G, L1⦄ ⊢ ➡*[T, 0] L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
30 /3 width=5 by aaa_llpxs_conf, llprs_llpxs/ qed-.