matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes_cprs.ma

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   3 (*      ||M||                                                             *)
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  14
  15 include "basic_2/rt_computation/cprs_cprs.ma".
  16 include "basic_2/rt_equivalence/cpes.ma".
  17
  18 (* T-BOUND CONTEXT-SENSITIVE PARALLEL RT-EQUIVALENCE FOR TERMS **************)
  19
  20 (* Properties with context-sensitive parallel r-computation on terms ********)
  21
  22 lemma cpes_cprs_trans (h) (n) (G) (L) (T0):
  23       ∀T1.  ⦃G,L⦄ ⊢ T1 ⬌*[h,n,0] T0 →
  24       ∀T2.  ⦃G,L⦄ ⊢ T0 ➡*[h] T2 → ⦃G,L⦄ ⊢ T1 ⬌*[h,n,0] T2.
  25 #h #n #G #L #T0 #T1 * #T #HT1 #HT0 #T2 #HT02
  26 elim (cprs_conf … HT0 … HT02) -T0 #T0 #HT0 #HT20
  27 /3 width=3 by cpms_div, cpms_cprs_trans/
  28 qed-.