Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.testAgainstNN_smul
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {R : Type u_2} [inst_1 : SMul R NNReal] [inst_2 : SMul R ENNReal]
[IsScalarTower R NNReal ENNReal] [IsScalarTower R ENNReal ENNReal] [inst_5 : TopologicalSpace Ω]
[OpensMeasurableSpace Ω] [IsScalarTower R NNReal NNReal] [inst_8 : PseudoMetricSpace R] [inst_9 : Zero R]
[inst_10 : IsBoundedSMul R NNReal] (μ : MeasureTheory.FiniteMeasure Ω) (c : R)
(f : BoundedContinuousFunction Ω NNReal), μ.testAgainstNN (c • f) = c • μ.testAgainstNN f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measureproof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- IsScalarTowerstatement and proof · cited by 3,896
- PseudoMetricSpacestatement and proof · cited by 1,550
- ENNReal.ofNNRealproof · cited by 1,279
- MeasureTheory.lintegralproof · cited by 1,152
- OpensMeasurableSpacestatement and proof · cited by 636
- BoundedContinuousFunctionstatement and proof · cited by 511
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