matita/matita/contribs/lambdadelta/basic_2/dynamic/snv_ltpss_sn.ma

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   4 (*      ||A||       A project by Andrea Asperti                           *)
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  14
  15 include "basic_2/dynamic/snv_ltpss_dx.ma".
  16
  17 (* STRATIFIED NATIVE VALIDITY FOR TERMS *************************************)
  18
  19 (* Properties about sn parallel unfold **************************************)
  20
  21 lemma snv_ltpss_sn_conf: ∀h,g,L1,L2,d,e. L1 ⊢ ▶* [d, e] L2 →
  22                          ∀T. ⦃h, L1⦄ ⊩ T :[g] → ⦃h, L2⦄ ⊩ T :[g].
  23 #h #g #L1 #L2 #d #e #H
  24 lapply (ltpss_sn_ltpssa … H) -H #H @(ltpssa_ind … H) -L2 //
  25 #L #L2 #_ #HL2 #IHL1 #T1 #HT1
  26 lapply (IHL1 … HT1) -IHL1 -HT1 #HT1
  27 lapply (snv_ltpss_dx_conf … HT1 … HL2) -HT1 -HL2 //
  28 qed-.