matita/matita/contribs/lambdadelta/basic_2/computation/dxprs_dxprs.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/unwind/sstas_sstas.ma".
  16 include "basic_2/computation/cprs_cprs.ma".
  17 include "basic_2/computation/dxprs.ma".
  18
  19 (* DECOMPOSED EXTENDED PARALLEL COMPUTATION ON TERMS ************************)
  20
  21 (* Advanced properties ******************************************************)
  22
  23 lemma dxprs_cprs_trans: ∀h,g,L,T1,T,T2.
  24                    ⦃h, L⦄ ⊢ T1 •*➡*[g] T → L ⊢ T ➡* T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
  25 #h #g #L #T1 #T #T2 * #T0 #HT10 #HT0 #HT2
  26 lapply (cprs_trans … HT0 … HT2) -T /2 width=3/
  27 qed-.
  28
  29 lemma sstas_dxprs_trans: ∀h,g,L,T1,T,T2.
  30                          ⦃h, L⦄ ⊢ T1 •*[g] T → ⦃h, L⦄ ⊢ T •*➡*[g] T2 → ⦃h, L⦄ ⊢ T1 •*➡*[g] T2.
  31 #h #g #L #T1 #T #T2 #HT1 * #T0 #HT0 #HT02
  32 lapply (sstas_trans … HT1 … HT0) -T /2 width=3/
  33 qed-.