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def definition def or abbrev

IsCouplingCombiner

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formal statement (Lean)

  54def IsCouplingCombiner (P : ℝ → ℝ → ℝ) : Prop :=

proof body

Definition body.

  55  ¬ SeparatelyAdditive P
  56
  57/-- The **interaction defect** of a combiner at a pair `(u, v)`:
  58\[
  59\Delta P(u, v) := P(u, v) - P(u, 0) - P(0, v) + P(0, 0).
  60\]
  61For a separately additive combiner this is identically zero. The defect
  62is the canonical detector of coupling. -/

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