Theorems · Theorem · measure theory
NNRealRMK.le_rieszMeasure_of_isCompact_tsupport_subset
∀ {X : Type u_1} [inst : TopologicalSpace X] (Λ : CompactlySupportedContinuousMap X NNReal →ₗ[NNReal] NNReal)
[inst_1 : T2Space X] [inst_2 : LocallyCompactSpace X] [inst_3 : MeasurableSpace X] [inst_4 : BorelSpace X]
{f : CompactlySupportedContinuousMap X NNReal},
(∀ (x : X), f x ≤ 1) → ∀ {K : Set X}, IsCompact K → tsupport ⇑f ⊆ K → ↑(Λ f) ≤ (NNRealRMK.rieszMeasure Λ) K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites31
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
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- RingHom.idstatement and proof · cited by 18,349
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- LinearMapstatement and proof · cited by 10,215
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- LT.lt.leproof · cited by 2,189
- BorelSpacestatement and proof · cited by 1,602
- T2Spacestatement and proof · cited by 1,351
Cited by1
Results whose statement or proof uses this declaration.
- NNRealRMK.le_rieszMeasure_of_tsupport_subsetproof · cited by 0