Theorems · Theorem · measure theory

MeasureTheory.IntegrableAtFilter.filter_mono

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

Defined in

Mathlib.MeasureTheory.Integral.IntegrableOn

Cited by

8 results in Mathlib

Foundations

Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceContinuousENorm