+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/grammar/term_vector.ma".
-include "basic_2/computation/csx.ma".
-
-(* CONTEXT-SENSITIVE EXTENDED STRONGLY NORMALIZING TERM VECTORS *************)
-
-definition csxv: ∀h. sd h → relation3 genv lenv (list term) ≝
- λh,o,G,L. all … (csx h o G L).
-
-interpretation
- "context-sensitive strong normalization (term vector)"
- 'SN h o G L Ts = (csxv h o G L Ts).
-
-(* Basic inversion lemmas ***************************************************)
-
-lemma csxv_inv_cons: ∀h,o,G,L,T,Ts. ⦃G, L⦄ ⊢ ⬊*[h, o] T @ Ts →
- ⦃G, L⦄ ⊢ ⬊*[h, o] T ∧ ⦃G, L⦄ ⊢ ⬊*[h, o] Ts.
-normalize // qed-.
-
-(* Basic forward lemmas *****************************************************)
-
-lemma csx_fwd_applv: ∀h,o,G,L,T,Vs. ⦃G, L⦄ ⊢ ⬊*[h, o] Ⓐ Vs.T →
- ⦃G, L⦄ ⊢ ⬊*[h, o] Vs ∧ ⦃G, L⦄ ⊢ ⬊*[h, o] T.
-#h #o #G #L #T #Vs elim Vs -Vs /2 width=1 by conj/
-#V #Vs #IHVs #HVs
-lapply (csx_fwd_pair_sn … HVs) #HV
-lapply (csx_fwd_flat_dx … HVs) -HVs #HVs
-elim (IHVs HVs) -IHVs -HVs /3 width=1 by conj/
-qed-.