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

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  14
  15 include "basic_2/static/aaa_ltpss_sn.ma".
  16 include "basic_2/reducibility/ltpr_aaa.ma".
  17 include "basic_2/reducibility/cpr.ma".
  18 include "basic_2/reducibility/lcpr.ma".
  19
  20 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON LOCAL ENVIRONMENTS *************)
  21
  22 (* Properties about atomic arity assignment on terms ************************)
  23
  24 lemma aaa_lcpr_conf: ∀L1,T,A. L1 ⊢ T ⁝ A → ∀L2. L1 ⊢ ➡ L2 → L2 ⊢ T ⁝ A.
  25 #L1 #T #A #HT #L2 * /3 width=5/
  26 qed.
  27
  28 lemma aaa_cpr_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡ T2 → L ⊢ T2 ⁝ A.
  29 #L #T1 #A #HT1 #T2 * /3 width=5/
  30 qed.
  31
  32 lemma aaa_lcpr_cpr_conf: ∀L1,T1,A. L1 ⊢ T1 ⁝ A → ∀L2. L1 ⊢ ➡ L2 →
  33                          ∀T2. L2 ⊢ T1 ➡ T2 → L2 ⊢ T2 ⁝ A.
  34 /3 width=3/ qed.