Theorems · Theorem · probability
ProbabilityTheory.charFunDual_map_add_prod_eq_mul
∀ {E : Type u_2} {mE : MeasurableSpace E} [inst : NormedAddCommGroup E] [BorelSpace E] [SecondCountableTopology E]
[inst_3 : NormedSpace ℝ E] {μ ν : MeasureTheory.Measure E} [MeasureTheory.IsProbabilityMeasure μ]
[MeasureTheory.IsProbabilityMeasure ν],
MeasureTheory.charFunDual (MeasureTheory.Measure.map (fun p => p.1 + p.2) (μ.prod ν)) =
MeasureTheory.charFunDual μ * MeasureTheory.charFunDual ν- Cited by
- 0 results in Mathlib
- Foundations
- Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
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
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Complexstatement and proof · cited by 5,565
- BorelSpacestatement and proof · cited by 1,602
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- SecondCountableTopologystatement and proof · cited by 750
- StrongDualstatement and proof · cited by 459
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- MeasureTheory.Measure.prodstatement and proof · cited by 353
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