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1 (**************************************************************************)
2 (*       ___                                                              *)
3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
5 (*      ||T||                                                             *)
6 (*      ||I||       Developers:                                           *)
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9 (*      \   /                                                             *)
10 (*       \ /        This file is distributed under the terms of the       *)
11 (*        v         GNU General Public License Version 2                  *)
12 (*                                                                        *)
13 (**************************************************************************)
14
15 include "basic_2/reducibility/xpr_aaa.ma".
16 include "basic_2/computation/xprs.ma".
17
18 (* EXTENDED PARALLEL COMPUTATION ON TERMS ***********************************)
19
20 (* Properties on atomic arity assignment for terms **************************)
21
22 lemma xprs_aaa: ∀h,g,L,T,A. L ⊢ T ⁝ A → ∀U. ⦃h, L⦄ ⊢ T •➡*[g] U → L ⊢ U ⁝ A.
23 #h #g #L #T #A #HT #U #H @(xprs_ind … H) -U // /2 width=5/
24 qed.