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3 (*      ||M||                                                             *)
4 (*      ||A||       A project by Andrea Asperti                           *)
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11 (*        v         GNU General Public License Version 2                  *)
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13 (**************************************************************************)
14
15 include "lambda/levels/term.ma".
16
17 (* ITERATED ABSTRACTION *****************************************************)
18
19 definition labst: nat → lterm → lterm ≝ λh,M. match M with
20 [ LVRef i e   ⇒ {i+h}§e
21 | LAppl i C A ⇒ {i+h}@C.A
22 ].
23
24 interpretation "iterated abstraction (term by level)"
25    'AnnotatedAbstraction h M = (labst h M).
26
27 interpretation "abstraction (term by level)"
28    'Abstraction M = (labst (S O) M).
29
30 lemma labst_O: ∀M. 𝛌0.M = M.
31 * normalize //
32 qed.