Theorems · Theorem · measure theory

MeasureTheory.integrableOn_congr_fun

∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f g : α → ε} {s : Set α} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε],
  Set.EqOn f g s → MeasurableSet s → (MeasureTheory.IntegrableOn f s μ ↔ MeasureTheory.IntegrableOn g s μ)

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

11 results in Mathlib

Foundations

Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm