Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.testAgainstNN_const
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] (μ : MeasureTheory.FiniteMeasure Ω)
(c : NNReal), μ.testAgainstNN (BoundedContinuousFunction.const Ω c) = c * μ.mass- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 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.coeproof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement and proof · cited by 4,310
- Set.univproof · cited by 3,945
- ENNReal.ofNNRealproof · cited by 1,279
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.lintegral_constproof · cited by 123
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.FiniteMeasure.massstatement · cited by 46
- MeasureTheory.FiniteMeasure.testAgainstNNstatement · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.testAgainstNN_lipschitz_estimateproof · cited by 2
- MeasureTheory.FiniteMeasure.testAgainstNN_zeroproof · cited by 1