Theorems · Theorem · probability
ProbabilityTheory.boolKernel_comp_measure
∀ {α : Type u_1} {mα : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) (π : MeasureTheory.Measure Bool),
π.bind ⇑(ProbabilityTheory.Kernel.boolKernel μ ν) = π {true} • ν + π {false} • μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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 and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- mul_commproof · cited by 2,262
- ProbabilityTheory.Kernelstatement · cited by 1,281
- MeasureTheory.Measure.extproof · cited by 308
- Finset.sum_singletonproof · cited by 251
- Finset.sum_insertproof · cited by 196
- MeasureTheory.Measure.bindstatement · cited by 173
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_leftproof · cited by 0
- ProbabilityTheory.absolutelyContinuous_boolKernel_comp_rightproof · cited by 0