matita/matita/contribs/lambdadelta/basic_2A/etc/llpx/llpxs_aaa.etc

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  14
  15 include "basic_2/reduction/llpx_aaa.ma".
  16 include "basic_2/computation/llpxs.ma".
  17
  18 (* LAZY SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS **************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  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/
  26 qed-.
  27 (*
  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-.
  31 *)