matita/matita/contribs/lambdadelta/basic_2/s_transition/fquq.ma

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  14
  15 include "basic_2/notation/relations/suptermopt_6.ma".
  16 include "basic_2/s_transition/fqu.ma".
  17
  18 (* OPTIONAL SUPCLOSURE ******************************************************)
  19
  20 (* Basic_2A1: was: fquqa *)
  21 (* Basic_2A1: includes: fquq_inv_gen *)
  22 definition fquq: tri_relation genv lenv term ≝ tri_RC … fqu.
  23
  24 interpretation
  25    "optional structural successor (closure)"
  26    'SupTermOpt G1 L1 T1 G2 L2 T2 = (fquq G1 L1 T1 G2 L2 T2).
  27
  28 (* Basic properties *********************************************************)
  29
  30 (* Basic_2A1: includes: fquqa_refl *)
  31 lemma fquq_refl: tri_reflexive … fquq.
  32 // qed.
  33
  34 lemma fqu_fquq: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄.
  35 /2 width=1 by or_introl/ qed.
  36
  37 (* Basic_2A1: removed theorems 8:
  38               fquq_lref_O fquq_pair_sn fquq_bind_dx fquq_flat_dx fquq_drop
  39               fquqa_drop fquq_fquqa fquqa_inv_fquq
  40 *)