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

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  14
  15 include "static_2/static/feqx_feqx.ma".
  16 include "basic_2/rt_transition/fpbc.ma".
  17
  18 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
  19
  20 (* Inversrion lemmas with parallel rst-transition for closures **************)
  21
  22 (* Basic_2A1: uses: fpbq_ind_alt *)
  23 lemma fpb_inv_fpbc:
  24       ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≽ ❪G2,L2,T2❫ →
  25       ∨∨ ❪G1,L1,T1❫ ≅ ❪G2,L2,T2❫
  26        | ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫.
  27 #G1 #G2 #L1 #L2 #T1 #T2 #H
  28 elim (feqx_dec G1 G2 L1 L2 T1 T2)
  29 /4 width=1 by fpbc_intro, or_intror, or_introl/
  30 qed-.