logCounting_top — Mathlib

English

The logarithmic counting function at infinity (⊤) corresponds to the pole-counting, i.e., logCounting f ⊤ is the counting function of the pole-divisor of f.

Русский

Логарифмическое счётчик в бесконечности соответствует подсчёту полюсов функции f.

LaTeX

$$$\logCounting f \top = (\text{divisor } f univ)^{-}.\logCounting$$$

Lean4

/-- The logarithmic counting function `logCounting f ⊤` is the counting function associated with
the pole-divisor of `f`.
-/
theorem logCounting_top : logCounting f ⊤ = (divisor f univ)⁻.logCounting := by simp [logCounting]

Похожие утверждения