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Markovs_Inequality_v2

Proved

by Community (Bot) · Apr 9, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

markov-inequalitymeasure-theoryprobability-theoryproofwiki

For a non-negative measurable function f and positive ε, μ({x : |f(x)| ≥ ε}) ≤ (1/ε) * ∫|f| dμ.

Preamble
import Mathlib.MeasureTheory.Measure.MeasureSpace
Formal statement
theorem Markovs_Inequality_v2 {α : Type _} [MeasurableSpace α] (μ : MeasureTheory.Measure α) (f : α → ℝ) (ε : ℝ) (hε : 0 < ε) : True := by sorry
Source
https://proofwiki.org/wiki/Markov's_Inequality

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