matita/matita/contribs/lambdadelta/basic_2/etc_new/cnr/cnr_cir.etc

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
   7 (*      ||T||         The HELM team.                                      *)
   8 (*      ||A||         http://helm.cs.unibo.it                             *)
   9 (*      \   /                                                             *)
  10 (*       \ /        This file is distributed under the terms of the       *)
  11 (*        v         GNU General Public License Version 2                  *)
  12 (*                                                                        *)
  13 (**************************************************************************)
  14
  15 include "basic_2/reduction/cpr_cir.ma".
  16 include "basic_2/reduction/cnr_crr.ma".
  17
  18 (* NORMAL TERMS FOR CONTEXT-SENSITIVE REDUCTION *****************************)
  19
  20 (* Main properties on irreducibility ****************************************)
  21
  22 theorem cir_cnr: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄.
  23 /2 width=4 by cpr_fwd_cir/ qed.
  24
  25 (* Main inversion lemmas on irreducibility **********************************)
  26
  27 theorem cnr_inv_cir: ∀G,L,T. ⦃G, L⦄ ⊢ ➡ 𝐍⦃T⦄ → ⦃G, L⦄ ⊢ ➡ 𝐈⦃T⦄.
  28 /2 width=5 by cnr_inv_crr/ qed-.