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

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  14
  15 include "basic_2/rt_transition/fpb_fdeq.ma".
  16 include "basic_2/rt_computation/fsb.ma".
  17
  18 (* STRONGLY NORMALIZING CLOSURES FOR PARALLEL RST-TRANSITION ****************)
  19
  20 (* Properties with degree-based equivalence for closures ********************)
  21
  22 lemma fsb_fdeq_trans: ∀h,o,G1,L1,T1. ≥[h, o] 𝐒⦃G1, L1, T1⦄ →
  23                       ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → ≥[h, o] 𝐒⦃G2, L2, T2⦄.
  24 #h #o #G1 #L1 #T1 #H @(fsb_ind_alt … H) -G1 -L1 -T1
  25 #G1 #L1 #T1 #_ #IH #G2 #L2 #T2 #H12
  26 @fsb_intro #G #L #T #H2
  27 elim (fdeq_fpb_trans … H12 … H2) -G2 -L2 -T2
  28 /2 width=5 by/
  29 qed-.