matita/matita/contribs/lambdadelta/basic_2A/computation/lpxs_aaa.ma

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  14
  15 include "basic_2A/reduction/lpx_aaa.ma".
  16 include "basic_2A/computation/lpxs.ma".
  17
  18 (* SN EXTENDED PARALLEL COMPUTATION ON LOCAL ENVIRONMENTS *******************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  22 lemma lpxs_aaa_conf: ∀h,g,G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
  23                      ∀L2. ⦃G, L1⦄ ⊢ ➡*[h, g] 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 lpx_aaa_conf/
  26 qed-.
  27
  28 lemma lprs_aaa_conf: ∀G,L1,T,A. ⦃G, L1⦄ ⊢ T ⁝ A →
  29                      ∀L2. ⦃G, L1⦄ ⊢ ➡* L2 → ⦃G, L2⦄ ⊢ T ⁝ A.
  30 /3 width=5 by lprs_lpxs, lpxs_aaa_conf/ qed-.