matita/matita/contribs/lambdadelta/basic_2/computation/csn_cpr_vector.ma

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   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
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  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
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  14
  15 include "basic_2/computation/csn_cpr.ma".
  16 include "basic_2/computation/csn_vector.ma".
  17
  18 (* Advanced forward lemmas **************************************************)
  19
  20 lemma csn_fwd_applv: ∀L,T,Vs. L ⊢ ⬊* Ⓐ Vs. T → L ⊢ ⬊* Vs ∧ L ⊢ ⬊* T.
  21 #L #T #Vs elim Vs -Vs /2 width=1/
  22 #V #Vs #IHVs #HVs
  23 lapply (csn_fwd_pair_sn … HVs) #HV
  24 lapply (csn_fwd_flat_dx … HVs) -HVs #HVs
  25 elim (IHVs HVs) -IHVs -HVs /3 width=1/
  26 qed-.