logCounting_zero — Mathlib

English

The logarithmic counting function at zero is the counting function of f itself: logCounting f 0 = (divisor f univ)⁺.logCounting.

Русский

Логарифмическое счетчик в нуле равно счетчику делителя функции f на всей области.

LaTeX

$$$\logCounting f 0 = (\text{divisor } f \ univ)^{+}.\logCounting$$$

Lean4

/-- The logarithmic counting function `logCounting f 0` is the counting function associated with the
zero-divisor of `f`.
-/
theorem logCounting_zero : logCounting f 0 = (divisor f univ)⁺.logCounting := by simp [logCounting]

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