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structure definition def or abbrev

StrictLogicRealization

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formal statement (Lean)

  26structure StrictLogicRealization where
  27  Carrier : Type u
  28  Cost : Type v
  29  zeroCost : Zero Cost
  30  compare : Carrier → Carrier → Cost
  31  compose : Carrier → Carrier → Carrier
  32  one : Carrier
  33  generator : Carrier
  34  identity_law : ∀ x : Carrier, compare x x = 0
  35  non_contradiction_law : ∀ x y : Carrier, compare x y = compare y x
  36  excluded_middle_law : Prop
  37  composition_law : Prop
  38  invariance_law : Prop
  39  nontrivial_law : compare generator one ≠ 0
  40
  41attribute [instance] StrictLogicRealization.zeroCost
  42
  43namespace StrictLogicRealization
  44
  45/-- The strict free orbit is uniformly the `LogicNat` iteration object. -/

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