logCounting_coe_eq_logCounting_sub_const_zero

English

The logCounting for a finite a0 satisfies logCounting f a0 = logCounting(f − a0) 0.

Русский

Логарифмическое счётчик логарифма f a0 равно logCounting (f − a0) 0.

LaTeX

$$$\logCounting f a_0 = \logCounting (f- a_0) 0$$$

Lean4

/-- For finite values `a₀`, the logarithmic counting function `logCounting f a₀` equals the logarithmic
counting function for the value zero of the shifted function `f - a₀`.
-/
theorem logCounting_coe_eq_logCounting_sub_const_zero : logCounting f a₀ = logCounting (f - fun _ ↦ a₀) 0 := by
  simp [logCounting]

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