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

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  14
  15 include "basic_2/unfold/ltpss_sn_ltpss_sn.ma".
  16 include "basic_2/reducibility/cpr.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
  19
  20 (* Properties concerning partial unfold on local environments ***************)
  21
  22 lemma ltpss_sn_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 *
  25 lapply (ltpss_sn_weak_all … HL12)
  26 <(ltpss_sn_fwd_length … HL12) -HL12 /3 width=5/
  27 qed.