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def definition def or abbrev

MultiplicativeL4

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formal statement (Lean)

  90def MultiplicativeL4 (m : MultiplicativeRecognizer 𝒞) : Prop :=

proof body

Definition body.

  91  ∃ P : ℝ → ℝ → ℝ,
  92    ∀ x y : ℝ, 0 < x → 0 < y →
  93      m.cost (x * y) + m.cost (x / y) = P (m.cost x) (m.cost y)
  94
  95/-- A polynomial-degree-2 form of (L4): the combiner is a polynomial of
  96total degree at most two. This is the form the d'Alembert Inevitability
  97Theorem produces. -/

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