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def definition def or abbrev

SatisfiesCompositionLaw

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formal statement (Lean)

 700def SatisfiesCompositionLaw (F : ℝ → ℝ) : Prop :=

proof body

Definition body.

 701  ∀ x y : ℝ, 0 < x → 0 < y →
 702    F (x * y) + F (x / y) = 2 * F x * F y + 2 * F x + 2 * F y
 703
 704/-- **Lemma 2.1**: If F is reciprocal, then G(t) = F(e^t) is even. -/

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