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def definition def or abbrev

CountedOnceComposition

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formal statement (Lean)

  41def CountedOnceComposition (C : ComparisonOperator) : Prop :=

proof body

Definition body.

  42  ∃ P : ℝ → ℝ → ℝ,
  43    CountedOnceCombiner P ∧
  44    SymmetricCombiner P ∧
  45    (∀ x y : ℝ, 0 < x → 0 < y →
  46      derivedCost C (x * y) + derivedCost C (x / y) =
  47        P (derivedCost C x) (derivedCost C y))
  48
  49/-- Counted-once composition is a special case of finite pairwise polynomial
  50closure. -/

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depends on (13)

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