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

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  14
  15 include "basic_2A/reduction/lpx_aaa.ma".
  16 include "basic_2A/computation/cpxs.ma".
  17
  18 (* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  22 lemma cpxs_aaa_conf: ∀h,g,G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
  23                      ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
  24 #h #g #G #L #T1 #A #HT1 #T2 #HT12
  25 @(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by cpx_aaa_conf/
  26 qed-.
  27
  28 lemma cprs_aaa_conf: ∀G,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
  29 /3 width=5 by cpxs_aaa_conf, cprs_cpxs/ qed-.