matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbc_fqup.ma

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  14
  15 include "static_2/static/feqg_fqu.ma".
  16 include "basic_2/rt_transition/fpb_fqup.ma".
  17 include "basic_2/rt_transition/fpbc.ma".
  18
  19 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
  20
  21 (* Advanced properties ******************************************************)
  22
  23 (* Basic_2A1: uses: fpb_cpx *)
  24 lemma cpx_fpbc (G) (L):
  25       ∀T1,T2. ❨G,L❩ ⊢ T1 ⬈ T2 → (T1 ≅ T2 → ⊥) → ❨G,L,T1❩ ≻ ❨G,L,T2❩.
  26 /4 width=5 by fpbc_intro, cpx_fpb, feqg_fwd_teqg/ qed.
  27
  28 (* Basic_2A1: uses: fpb_fqu *)
  29 lemma fqu_fpbc (G1) (G2) (L1) (L2) (T1) (T2):
  30       ❨G1,L1,T1❩ ⬂ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ ≻ ❨G2,L2,T2❩.
  31 /4 width=10 by fpbc_intro, fquq_fpb, fqu_fquq, fqu_fneqg/ qed.