matita/matita/contribs/lambda_delta/basic_2/etc/ltpsss/aaa_ltpsss.etc

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  14
  15 include "basic_2/unfold/ltpsss.ma".
  16 include "basic_2/static/aaa_ltpss.ma".
  17
  18 (* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
  19
  20 (* Properties about iterated parallel unfold ********************************)
  21
  22 lemma aaa_ltpsss_conf: ∀L1,T,A. L1 ⊢ T ÷ A →
  23                        ∀L2,d,e. L1 [d, e] ▶** L2 → L2 ⊢ T ÷ A.
  24 #L1 #T #A #HT #L2 #d #e #HL12
  25 @(TC_Conf3 … (λL,A. L ⊢ T ÷ A) … HT ? HL12) /2 width=5/
  26 qed.
  27
  28 lemma aaa_ltpsss_tpss_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] ▶** L2 →
  29                             ∀T2. L2 ⊢ T1 [d, e] ▶* T2 → L2 ⊢ T2 ÷ A.
  30 /3 width=5/ qed.
  31
  32 lemma aaa_ltpsss_tps_conf: ∀L1,T1,A. L1 ⊢ T1 ÷ A → ∀L2,d,e. L1 [d, e] ▶** L2 →
  33                            ∀T2. L2 ⊢ T1 [d, e] ▶ T2 → L2 ⊢ T2 ÷ A.
  34 /3 width=5/ qed.