logCounting_inv — Mathlib

English

The logarithmic counting function of f^{-1} at the top equals the logarithmic counting function of f at the top, i.e., logCounting f^{-1} ⊤ = logCounting f ⊤.

Русский

Логарифмическая функция счёта f^{-1} на бесконечности равна логарифмической функции счёта f на бесконечности.

LaTeX

$$$\logCounting f^{-1} \top = \logCounting f \top$$$

Lean4

/-- Relation between the logarithmic counting function of `f` and of `f⁻¹`.
-/
@[simp]
theorem logCounting_inv {f : 𝕜 → 𝕜} : logCounting f⁻¹ ⊤ = logCounting f 0 := by simp [logCounting_zero, logCounting_top]

Похожие утверждения