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def definition def or abbrev

AxisAdditive

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formal statement (Lean)

 123def AxisAdditive (f : ℕ → ℝ) : Prop :=

proof body

Definition body.

 124  f 0 = 0 ∧ ∀ a b : ℕ, f (a + b) = f a + f b
 125
 126/-- Any axis-additive function on ℕ is linear: f(d) = d * f(1). -/

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