matita/matita/contribs/lambdadelta/apps_2/models/veq.ma

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  13 (**************************************************************************)
  14
  15 include "apps_2/models/model_props.ma".
  16
  17 (* EVALUATION EQUIVALENCE  **************************************************)
  18
  19 definition veq (M): relation (evaluation M) ≝
  20                     λv1,v2. ∀d. v1 d ≗ v2 d.
  21
  22 interpretation "evaluation equivalence (model)"
  23    'RingEq M v1 v2 = (veq M v1 v2).
  24
  25 (* Basic properties *********************************************************)
  26
  27 lemma veq_refl (M): is_model M →
  28                     reflexive … (veq M).
  29 /2 width=1 by mq/ qed.
  30 (*
  31 lemma veq_sym: ∀M. symmetric … (veq M).
  32 // qed-.
  33
  34 theorem veq_trans: ∀M. transitive … (veq M).
  35 // qed-.
  36 *)