matita/matita/contribs/lambda_delta/Basic_2/computation/csn_aarity.ma

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   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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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/static/aaa.ma".
  16 include "Basic_2/computation/csn_cr.ma".
  17 include "Basic_2/computation/lsubcs.ma".
  18
  19 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERMS *****************************)
  20
  21 (* Main propertis ***********************************************************)
  22
  23 axiom snc_aarity_csubcs: ∀L1,T,A. L1 ⊢ T ÷ A → ∀L2. L2 ⊑ L1 → {L2, T} ϵ 〚A〛.
  24
  25 lemma snc_aarity: ∀L,T,A. L ⊢ T ÷ A → {L, T} ϵ 〚A〛.
  26 /2 width=3/ qed.
  27
  28 axiom csn_arity: ∀L,T,A. L ⊢ T ÷ A → L ⊢ ⇓ T.