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14
15 include "basic_2/static/ssta_aaa.ma".
16 include "basic_2/reducibility/lcpr_aaa.ma".
17 include "basic_2/reducibility/xpr.ma".
18
19 (* EXTENDED PARALLEL REDUCTION ON TERMS *************************************)
20
21 (* Properties on atomic arity assignment for terms **************************)
22
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: * ] /2 width=3/ /2 width=6/
25 qed.