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

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  14
  15 include "basic_2/unfold/ltpsss.ma".
  16 include "basic_2/reducibility/cpr_ltpss.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
  19
  20 (* Properties on iterated partial unfold on local environments **************)
  21
  22 lemma ltpsss_cpr_trans: ∀L1,L2,d,e. L1 [d, e] ▶** L2 →
  23                         ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡ T2.
  24 #L1 #L2 #d #e #HL12 #T1 #T2 #HT12 @(ltpsss_ind_dx … HL12) -L1 // /2 width=5/
  25 qed.