Theorems · Theorem · measure theory

StieltjesFunction.measure_smul

∀ {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] (c : NNReal) (f : StieltjesFunction R), (c • f).measure = c • f.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
Assumes: LinearOrder TopologicalSpace OrderTopology CompactIccSpace MeasurableSpace BorelSpace SecondCountableTopology DenselyOrdered

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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
ENNRealstatement and proof · cited by 9,879
LinearOrderstatement and proof · cited by 8,572
Bot.botproof · cited by 4,720
NNRealstatement and proof · cited by 4,310
nhdsWithinproof · cited by 1,912
BorelSpacestatement and proof · cited by 1,602
OrderTopologystatement and proof · cited by 1,355
ENNReal.ofNNRealproof · cited by 1,279

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