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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "basic_2/static/ssta_aaa.ma".
16 include "basic_2/reducibility/cpr_aaa.ma".
17 include "basic_2/reducibility/xpr.ma".
19 (* EXTENDED PARALLEL REDUCTION ON TERMS *************************************)
21 (* Properties on atomic arity assignment for terms **************************)
23 lemma xpr_aaa: ∀h,g,L,T,A. L ⊢ T ⁝ A → ∀U. ⦃h, L⦄ ⊢ T •➡[g] U → L ⊢ U ⁝ A.
24 #h #g #L #T #A #HT #U * /2 width=3/ /2 width=6/