matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_cnh.ma

   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 "static_2/syntax/theq_theq.ma".
  16 include "basic_2/rt_transition/cnh_cnh.ma".
  17 include "basic_2/rt_computation/cpms.ma".
  18
  19 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-COMPUTATION FOR TERMS **************)
  20
  21 (* Inversion lemmas with normal terms for head t-unbound rt-transition ******)
  22
  23 lemma cpms_inv_cnh_sn (h) (n) (G) (L):
  24       ∀T1,T2. ⦃G,L⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L⦄ ⊢ ⥲[h] 𝐍⦃T1⦄ → T1 ⩳ T2.
  25 #h #n #G #L #T1 #T2 #H @(cpms_ind_sn … H) -T1 //
  26 #n1 #n2 #T1 #T0 #HT10 #_ #IH #HT1
  27 /4 width=9 by cnh_cpm_trans, theq_trans/
  28 qed-.