Theorems · Theorem · measure theory
StieltjesFunction.measure_add
∀ {R : Type u_1} [inst : LinearOrder R] [inst_1 : TopologicalSpace 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] (f g : StieltjesFunction R), (f + g).measure = f.measure + g.measure- Defined in
- Mathlib.MeasureTheory.Measure.Stieltjes
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealproof · cited by 9,879
- LinearOrderstatement and proof · cited by 8,572
- Bot.botproof · cited by 4,720
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- nhdsWithinproof · cited by 1,912
- BorelSpacestatement and proof · cited by 1,602
- OrderTopologystatement and proof · cited by 1,355
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