Theorems · Theorem · measure theory
MeasureTheory.measure_support_eapprox_lt_top
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : α → ENNReal},
Measurable f → ∫⁻ (x : α), f x ∂μ ≠ ⊤ → ∀ (n : ℕ), μ (Function.support ⇑(MeasureTheory.SimpleFunc.eapprox f n)) < ⊤- Cited by
- 1 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Measurablestatement and proof · cited by 1,499
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- LT.lt.neproof · cited by 872
- LE.le.trans_ltproof · cited by 795
- Function.supportstatement · cited by 610
- MeasureTheory.SimpleFuncstatement · cited by 411
Cited by1
Results whose statement or proof uses this declaration.
- ENNReal.finStronglyMeasurable_of_measurableproof · cited by 1