Theorems · Theorem · measure theory
StieltjesFunction.isFiniteMeasure_of_forall_abs_le
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace R] (f : StieltjesFunction R)
[inst_2 : OrderTopology R] [inst_3 : CompactIccSpace R] [inst_4 : MeasurableSpace R] [inst_5 : BorelSpace R]
[inst_6 : SecondCountableTopology R] [inst_7 : DenselyOrdered R] {C : ℝ},
(∀ (x : R), |↑f x| ≤ C) → MeasureTheory.IsFiniteMeasure f.measure- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 208 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- LinearOrderstatement and proof · cited by 8,572
- nhdsproof · cited by 5,554
- Filter.Tendstoproof · cited by 3,814
- Filter.atTopproof · cited by 2,405
- absstatement and proof · cited by 1,814
- BorelSpacestatement and proof · cited by 1,602
- OrderTopologystatement and proof · cited by 1,355
- MeasureTheory.IsFiniteMeasurestatement · cited by 1,078
- IsEmptyproof · cited by 759
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