matita/matita/contribs/lambdadelta/basic_2/etc/fsle.etc

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  14
  15 include "basic_2/static/lsubr_length.ma".
  16 include "basic_2/rt_transition/lfpx_fsle.ma".
  17
  18 lemma pippo: ∀L1,L2. L2 ⫃ L1 → ∀T. ⦃L1, T⦄ ⊆ ⦃L2, T⦄.
  19 #L1 #L2 #HL #T
  20 elim (frees_total L1 T) #f1 #Hf1
  21 elim (frees_total L2 T) #f2 #Hf2
  22 lapply (lsubr_lsubf … Hf1 … HL … Hf2) #H
  23 lapply (lsubf_fwd_sle … H) -H #H12
  24 lapply (lsubr_fwd_length … HL) -HL #HL
  25 /3 width=8 by lveq_length_eq, ex4_4_intro/
  26 qed.
  27
  28 lemma R_fle_comp_LTC: ∀R. R_fle_compatible R → R_fle_compatible (LTC … R).
  29 #R #HR #L #T1 #T2 #H elim H -T2
  30 /3 width=3 by fle_trans_dx/
  31 qed-.