Theorems · Definition · measure theory

MeasureTheory.AEEqFun.mk

{α : Type u_1} →
  [inst : MeasurableSpace α] →
    {μ : MeasureTheory.Measure α} →
      {β : Type u_5} → [inst_1 : TopologicalSpace β] → (f : α → β) → MeasureTheory.AEStronglyMeasurable f μ → α →ₘ[μ] β

Construct the equivalence class [f] of an almost everywhere measurable function f, based on the equivalence relation of being almost everywhere equal.

Defined in

Mathlib.MeasureTheory.Function.AEEqFun

Cited by

62 results in Mathlib

Foundations

Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpaceTopologicalSpace