Theorems · Theorem · measure theory
BoundedContinuousFunction.lintegral_of_real_lt_top
∀ {X : Type u_1} [inst : TopologicalSpace X] [inst_1 : MeasurableSpace X] (μ : MeasureTheory.Measure X)
[MeasureTheory.IsFiniteMeasure μ] (f : BoundedContinuousFunction X ℝ), ∫⁻ (x : X), ENNReal.ofReal (f x) ∂μ < ⊤- Cited by
- 0 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- MeasureTheory.lintegralstatement · cited by 1,152
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- ENNReal.ofRealstatement · cited by 863
- BoundedContinuousFunctionstatement and proof · cited by 511
- BoundedContinuousFunction.lintegral_lt_top_of_nnrealproof · cited by 11
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.