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def definition def or abbrev

ContinuousRouteIndependence

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formal statement (Lean)

 110def ContinuousRouteIndependence (C : ComparisonOperator) : Prop :=

proof body

Definition body.

 111  ∃ P : ℝ → ℝ → ℝ,
 112    Continuous (Function.uncurry P) ∧
 113    (∀ u v, P u v = P v u) ∧
 114    (∀ x y : ℝ, 0 < x → 0 < y →
 115       derivedCost C (x * y) + derivedCost C (x / y)
 116       = P (derivedCost C x) (derivedCost C y))
 117
 118/-- A *continuous Law of Logic* — the existing `SatisfiesLawsOfLogic`
 119with polynomial route-independence replaced by continuous
 120route-independence. -/

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