Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.map_smul
∀ {Ω : Type u_1} {Ω' : Type u_2} [inst : MeasurableSpace Ω] [inst_1 : MeasurableSpace Ω'] {f : Ω → Ω'} (c : NNReal)
(ν : MeasureTheory.FiniteMeasure Ω), (c • ν).map f = c • ν.map f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- MeasurableSetproof · cited by 3,075
- ENNReal.ofNNRealproof · cited by 1,279
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.Measure.map_smulproof · cited by 21
- MeasureTheory.FiniteMeasure.mapstatement and proof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.mapHomproof · cited by 0
- MeasureTheory.FiniteMeasure.mapCLMproof · cited by 0