+++ /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/reduction/crx.ma".
-include "basic_2/reduction/cnx.ma".
-
-(* NORMAL TERMS FOR CONTEXT-SENSITIVE EXTENDED REDUCTION ********************)
-
-(* Advanced inversion lemmas on reducibility ********************************)
-
-(* Note: this property is unusual *)
-lemma cnx_inv_crx: ∀h,o,G,L,T. ⦃G, L⦄ ⊢ ➡[h, o] 𝐑⦃T⦄ → ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄ → ⊥.
-#h #o #G #L #T #H elim H -L -T
-[ #L #s #d #Hkd #H
- lapply (cnx_inv_sort … H) -H #H
- lapply (deg_mono … H Hkd) -h -L -s <plus_n_Sm #H destruct
-| #I #L #K #V #i #HLK #H
- elim (cnx_inv_delta … HLK H)
-| #L #V #T #_ #IHV #H
- elim (cnx_inv_appl … H) -H /2 width=1 by/
-| #L #V #T #_ #IHT #H
- elim (cnx_inv_appl … H) -H /2 width=1 by/
-| #I #L #V #T * #H1 #H2 destruct
- [ elim (cnx_inv_zeta … H2)
- | elim (cnx_inv_eps … H2)
- ]
-|6,7: #a * [ elim a ] #L #V #T * #H1 #_ #IH #H2 destruct
- [1,3: elim (cnx_inv_abbr … H2) -H2 /2 width=1 by/
- |*: elim (cnx_inv_abst … H2) -H2 /2 width=1 by/
- ]
-| #a #L #V #W #T #H
- elim (cnx_inv_appl … H) -H #_ #_ #H
- elim (simple_inv_bind … H)
-| #a #L #V #W #T #H
- elim (cnx_inv_appl … H) -H #_ #_ #H
- elim (simple_inv_bind … H)
-]
-qed-.