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structure definition def or abbrev

AdmissibleRealization

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formal statement (Lean)

  42structure AdmissibleRealization (R : StrictLogicRealization) where
  43  /-- Cost equality is decidable (excluded middle on the cost predicate). -/
  44  cost_decidable : ∀ x y : R.Carrier, Decidable (R.compare x y = 0)
  45  /-- Composition is associative. -/
  46  compose_assoc : ∀ a b c : R.Carrier,
  47      R.compose (R.compose a b) c = R.compose a (R.compose b c)
  48  /-- The chosen `one` is a left identity (or analog). -/
  49  compose_one_or_step : R.compose R.one R.one = R.one ∨
  50                        R.compose R.one R.generator = R.generator
  51
  52/-! ## Admissibility for the existing five domain realizations -/
  53

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