1 (**************************************************************************)
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 *)
13 (**************************************************************************)
15 include "basic_2/grammar/term_vector.ma".
16 include "basic_2/computation/csn.ma".
18 (* CONTEXT-SENSITIVE STRONGLY NORMALIZING TERM VECTORS **********************)
20 definition csnv: lenv → predicate (list term) ≝
24 "context-sensitive strong normalization (term vector)"
25 'SN L Ts = (csnv L Ts).
27 (* Basic inversion lemmas ***************************************************)
29 lemma csnv_inv_cons: ∀L,T,Ts. L ⊢ ⬊* T @ Ts → L ⊢ ⬊* T ∧ L ⊢ ⬊* Ts.