matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_cnr.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 "basic_2/rt_transition/cnr.ma".
  16 include "basic_2/rt_computation/cprs.ma".
  17
  18 (* CONTEXT-SENSITIVE PARALLEL R-COMPUTATION FOR TERMS ***********************)
  19
  20 (* Inversion lemmas with normal terms for r-transition **********************)
  21
  22 (* Basic_1: was: nf2_pr3_unfold *)
  23 (* Basic_2A1: was: cprs_inv_cnr1 *)
  24 lemma cprs_inv_cnr_sn (h) (G) (L):
  25       ∀T1,T2. ❨G,L❩ ⊢ T1 ➡*[h,0] T2 → ❨G,L❩ ⊢ ➡𝐍[h,0] T1 → T1 = T2.
  26 #h #G #L #T1 #T2 #H @(cprs_ind_sn … H) -T1 //
  27 #T1 #T0 #HT10 #_ #IH #HT1
  28 lapply (HT1 … HT10) -HT10 #H destruct /2 width=1 by/
  29 qed-.