matita/matita/contribs/lambdadelta/basic_2/computation/lpxs_aaa.ma

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  14
  15 include "basic_2/reduction/lpx_aaa.ma".
  16 include "basic_2/computation/lpxs.ma".
  17
  18 (* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  22 lemma aaa_lpxs_conf: ∀h,g,L1,T,A.
  23                      L1 ⊢ T ⁝ A → ∀L2. ⦃h, L1⦄ ⊢ ➡*[h, g] L2 → L2 ⊢ T ⁝ A.
  24 #h #g #L1 #T #A #HT #L2 #HL12
  25 @(TC_Conf3 … (λL,A. ⦃G, L⦄ ⊢ T ⁝ A) … HT ? HL12) /2 width=5 by aaa_lpx_conf/
  26 qed-.
  27
  28 lemma aaa_lprs_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡* L2 → L2 ⊢ T ⁝ A.
  29 #L1 #T #A #HT #L2 #HL12
  30 @(aaa_lpxs_conf … HT) -A -T /2 width=3/
  31 qed-.