]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/etc_new/cnx/cnx_crx.etc
- updated equivalence on referred entries: it nust be degree-based
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / etc_new / cnx / cnx_crx.etc
diff --git a/matita/matita/contribs/lambdadelta/basic_2/etc_new/cnx/cnx_crx.etc b/matita/matita/contribs/lambdadelta/basic_2/etc_new/cnx/cnx_crx.etc
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-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||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-.