matita/matita/contribs/lambda_delta/basic_2/reducibility/cfpr_aaa.ma

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  14
  15 include "basic_2/reducibility/cpr_aaa.ma".
  16 include "basic_2/reducibility/cfpr_cpr.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON CLOSURES *************************)
  19
  20 (* Properties about atomic arity assignment on terms ************************)
  21
  22 lemma aaa_fpr_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A →
  23                     ∀L2,T2. ⦃L1, T1⦄ ➡ ⦃L2, T2⦄ → L2 ⊢ T2 ⁝ A.
  24 #L1 #T1 #A #HT1 #L2 #T2 #H
  25 elim (fpr_inv_all … H) -H
  26 /4 width=5 by aaa_cpr_conf, aaa_ltpr_conf, aaa_ltpss_sn_conf/
  27 qed.