matita/matita/contribs/lambdadelta/basic_2/rt_transition/cnr_teqx.ma

   1 (**************************************************************************)
   2 (*       ___                                                              *)
   3 (*      ||M||                                                             *)
   4 (*      ||A||       A project by Andrea Asperti                           *)
   5 (*      ||T||                                                             *)
   6 (*      ||I||       Developers:                                           *)
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   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/rt_transition/cnr_teqg.ma". (**) (* one dependence *)
  16
  17 (* NORMAL TERMS FOR CONTEXT-SENSITIVE R-TRANSITION **************************)
  18
  19 (* Properties with context-free sort-irrelevant equivalence for terms *******)
  20
  21 (* Basic_1: was: nf2_dec *)
  22 (* Basic_2A1: uses: cnr_dec *)
  23 lemma cnr_dec_teqx (h) (G) (L):
  24       ∀T1. ∨∨ ❪G,L❫ ⊢ ➡𝐍[h,0] T1
  25             | ∃∃T2. ❪G,L❫ ⊢ T1 ➡[h,0] T2 & (T1 ≅ T2 → ⊥).
  26 /2 width=1 by cnr_dec_teqg/ qed-.