Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.approxOn_mem

∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : PseudoEMetricSpace α]
  [inst_2 : OpensMeasurableSpace α] [inst_3 : MeasurableSpace β] {f : β → α} (hf : Measurable f) {s : Set α} {y₀ : α}
  (h₀ : y₀ ∈ s) [inst_4 : TopologicalSpace.SeparableSpace ↑s] (n : ℕ) (x : β),
  (MeasureTheory.SimpleFunc.approxOn f hf s y₀ h₀ n) x ∈ s

Defined in

Mathlib.MeasureTheory.Function.SimpleFuncDense

Cited by

3 results in Mathlib

Foundations

Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MeasurableSpacePseudoEMetricSpaceOpensMeasurableSpaceMeasurableSpaceTopologicalSpace.SeparableSpace