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/notation/relations/suptermopt_7.ma".
  17 include "basic_2/s_transition/fqu.ma".
  18
  19 (* OPTIONAL SUPCLOSURE ******************************************************)
  20
  21 (* Basic_2A1: was: fquqa *)
  22 (* Basic_2A1: includes: fquq_inv_gen *)
  23 definition fquq: bool → tri_relation genv lenv term ≝
  24                  λb. tri_RC … (fqu b).
  25
  26 interpretation
  27    "extended optional structural successor (closure)"
  28    'SupTermOpt b G1 L1 T1 G2 L2 T2 = (fquq b G1 L1 T1 G2 L2 T2).
  29
  30 interpretation
  31    "optional structural successor (closure)"
  32    'SupTermOpt G1 L1 T1 G2 L2 T2 = (fquq true G1 L1 T1 G2 L2 T2).
  33
  34 (* Basic properties *********************************************************)
  35
  36 (* Basic_2A1: includes: fquqa_refl *)
  37 lemma fquq_refl: ∀b. tri_reflexive … (fquq b).
  38 // qed.
  39
  40 lemma fqu_fquq: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐[b] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊐⸮[b] ⦃G2, L2, T2⦄.
  41 /2 width=1 by or_introl/ qed.
  42
  43 (* Basic_2A1: removed theorems 8:
  44               fquq_lref_O fquq_pair_sn fquq_bind_dx fquq_flat_dx fquq_drop
  45               fquqa_drop fquq_fquqa fquqa_inv_fquq
  46 *)