matita/matita/contribs/lambdadelta/basic_2/computation/cpxs_lleq.ma

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  14
  15 include "basic_2/reduction/lpx_leq.ma".
  16 include "basic_2/computation/cpxs.ma".
  17
  18 (* CONTEXT-SENSITIVE EXTENDED PARALLEL COMPUTATION ON TERMS *****************)
  19
  20 (* Properties on lazy equivalence for local environments ********************)
  21
  22 lemma lleq_cpxs_trans: ∀h,g,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ➡*[h, g] T2 →
  23                        ∀L1. L1 ⋕[0, T1] L2 → ⦃G, L1⦄ ⊢ T1 ➡*[h, g] T2.
  24 #h #g #G #L2 #T1 #T2 #H @(cpxs_ind_dx … H) -T1
  25 /4 width=6 by lleq_cpx_conf_dx, lleq_cpx_trans, cpxs_strap2/
  26 qed-.