Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.testAgainstNN_mono
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] [inst_1 : TopologicalSpace Ω] (μ : MeasureTheory.FiniteMeasure Ω)
{f g : BoundedContinuousFunction Ω NNReal}, ⇑f ≤ ⇑g → μ.testAgainstNN f ≤ μ.testAgainstNN g- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- le_reflproof · cited by 2,061
- BoundedContinuousFunctionstatement and proof · cited by 511
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.lintegral_mono_fn'proof · cited by 33
- MeasureTheory.FiniteMeasure.testAgainstNNstatement · cited by 27
- MeasureTheory.FiniteMeasure.testAgainstNN_coe_eqproof · cited by 5
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