Theorems · Definition · probability
ProbabilityTheory.Kernel.boolKernel
{α : Type u_1} →
{mα : MeasurableSpace α} → MeasureTheory.Measure α → MeasureTheory.Measure α → ProbabilityTheory.Kernel Bool αThe kernel from Bool that sends false to μ and true to ν.
- Defined in
- Mathlib.Probability.Kernel.Basic
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement · cited by 1,281
Cited by10
Results whose statement or proof uses this declaration.
- ProbabilityTheory.boolKernel_comp_measurestatement and proof · cited by 2
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_leftstatement · cited by 0
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_rightstatement · cited by 0
- ProbabilityTheory.Kernel.eq_boolKernelstatement · cited by 0
- ProbabilityTheory.Kernel.boolKernel_applystatement · cited by 0
- ProbabilityTheory.Kernel.boolKernel_falsestatement · cited by 0
- ProbabilityTheory.Kernel.boolKernel_truestatement · cited by 0
- ProbabilityTheory.posterior_boolKernel_apply_falsestatement and proof · cited by 0
- ProbabilityTheory.posterior_boolKernel_apply_truestatement and proof · cited by 0
- ProbabilityTheory.Kernel.comp_boolKernelstatement and proof · cited by 0