matita/matita/contribs/lambdadelta/basic_2/reducibility/cpr_tpss.ma

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  14
  15 include "basic_2/unfold/tpss_tpss.ma".
  16 include "basic_2/reducibility/cpr.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL REDUCTION ON TERMS ****************************)
  19
  20 (* Properties on partial unfold for terms ***********************************)
  21
  22 lemma cpr_tpss_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
  23                       ∀T2. L ⊢ T ▶* [O, |L|] T2 → L ⊢ T1 ➡ T2.
  24 #L #T1 #T * #T0 #HT10 #HT0 #T2 #HT2
  25 lapply (tpss_trans_eq … HT0 HT2) -T /2 width=3/
  26 qed.
  27
  28 lemma cpr_tps_trans: ∀L,T1,T. L ⊢ T1 ➡ T →
  29                      ∀T2. L ⊢ T ▶ [O, |L|] T2 → L ⊢ T1 ➡ T2.
  30 /3 width=3/ qed.