Theorems · Theorem · probability
ProbabilityTheory.Kernel.withDensity_add_left
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ η : ProbabilityTheory.Kernel α β)
[inst : ProbabilityTheory.IsSFiniteKernel κ] [inst_1 : ProbabilityTheory.IsSFiniteKernel η] (f : α → β → ENNReal),
(κ + η).withDensity f = κ.withDensity f + η.withDensity f- Defined in
- Mathlib.Probability.Kernel.WithDensity
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 211 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
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- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- zero_addproof · cited by 2,366
- Measurableproof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.withDensityproof · cited by 265
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
- add_applyproof · cited by 154
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