Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz_estimate
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] [OpensMeasurableSpace Ω]
(μ : MeasureTheory.FiniteMeasure Ω) (f g : BoundedContinuousFunction Ω NNReal),
μ.testAgainstNN f ≤ μ.testAgainstNN g + nndist f g * μ.mass- Cited by
- 2 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- ENNRealproof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- Dist.distproof · cited by 1,539
- ENNReal.ofNNRealproof · cited by 1,279
- NNReal.toRealproof · cited by 1,260
- MeasureTheory.lintegralproof · cited by 1,152
- OpensMeasurableSpacestatement and proof · cited by 636
- BoundedContinuousFunctionstatement and proof · cited by 511
- NNDist.nndiststatement and proof · cited by 235
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.testAgainstNN_lipschitzproof · cited by 1