Theorems · Theorem · measure theory

MeasureTheory.FiniteMeasure.continuous_integral_continuousMap

∀ {X : Type u_2} [inst : TopologicalSpace X] [CompactSpace X] [inst_2 : MeasurableSpace X]
  [inst_3 : OpensMeasurableSpace X] {F : Type u_3} [inst_4 : FunLike F X ℝ] [ContinuousMapClass F X ℝ] (f : F),
  Continuous fun μ => ∫ (x : X), f x ∂↑μ

Defined in

Mathlib.MeasureTheory.Measure.FiniteMeasure

Cited by

0 results in Mathlib

Foundations

Depth 259 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceCompactSpaceMeasurableSpaceOpensMeasurableSpaceFunLikeContinuousMapClass