Theorems · Theorem · probability
ProbabilityTheory.absolutelyContinuous_boolKernel_comp_right
∀ {α : Type u_1} {mα : MeasurableSpace α} {π : MeasureTheory.Measure Bool} (μ ν : MeasureTheory.Measure α),
π {true} ≠ 0 → ν.AbsolutelyContinuous (π.bind ⇑(ProbabilityTheory.Kernel.boolKernel μ ν))- Cited by
- 0 results in Mathlib
- Foundations
- Depth 213 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.Measure.AbsolutelyContinuousstatement · cited by 325
- MeasureTheory.Measure.bindstatement · cited by 173
- MeasureTheory.Measure.absolutelyContinuous_smulproof · cited by 10
- ProbabilityTheory.Kernel.boolKernelstatement · cited by 10
- MeasureTheory.Measure.AbsolutelyContinuous.add_rightproof · cited by 8
- ProbabilityTheory.boolKernel_comp_measureproof · cited by 2
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