Theorems · Theorem · measure theory

MeasureTheory.IntegrableAtFilter.congr

∀ {α : Type u_1} {ε : Type u_3} {mα : MeasurableSpace α} {f g : α → ε} {μ : MeasureTheory.Measure α}
  [inst : TopologicalSpace ε] [inst_1 : ContinuousENorm ε] {l : Filter α},
  MeasureTheory.IntegrableAtFilter f l μ → f =ᵐ[μ] g → MeasureTheory.IntegrableAtFilter g l μ

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

2 results in Mathlib

Foundations

Depth 199 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm