Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.testAgainstNN_coe_eq
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] {μ : MeasureTheory.FiniteMeasure Ω}
{f : BoundedContinuousFunction Ω NNReal}, ↑(μ.testAgainstNN f) = ∫⁻ (ω : Ω), ↑(f ω) ∂↑μ- Cited by
- 5 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.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement · cited by 1,279
- MeasureTheory.lintegralstatement · cited by 1,152
- LT.lt.neproof · cited by 872
- BoundedContinuousFunctionstatement and proof · cited by 511
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasurestatement and proof · cited by 87
- ENNReal.coe_toNNRealproof · cited by 53
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.testAgainstNN_constproof · cited by 2
- MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz_estimateproof · cited by 2
- MeasureTheory.FiniteMeasure.testAgainstNN_addproof · cited by 0
- MeasureTheory.FiniteMeasure.testAgainstNN_monoproof · cited by 0
- MeasureTheory.FiniteMeasure.testAgainstNN_smulproof · cited by 0