Theorems · Theorem · probability
ProbabilityTheory.Kernel.comp_zero
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel β γ), κ.comp 0 = 0- Cited by
- 8 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.extproof · cited by 308
- zero_applyproof · cited by 251
- MeasureTheory.Measure.bindproof · cited by 173
- ProbabilityTheory.Kernel.compstatement · cited by 129
- ProbabilityTheory.Kernel.extproof · cited by 116
- MeasureTheory.Measure.bind_zero_leftproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_leftproof · cited by 12
- ProbabilityTheory.Kernel.compProd_of_not_isSFiniteKernel_rightproof · cited by 8
- ProbabilityTheory.Kernel.parallelComp_id_left_comp_parallelCompproof · cited by 5
- ProbabilityTheory.Kernel.swap_parallelCompproof · cited by 4
- ProbabilityTheory.avgRisk_zero_leftproof · cited by 2
- ProbabilityTheory.Kernel.parallelComp_commproof · cited by 1
- ProbabilityTheory.minimaxRisk_of_isEmptyproof · cited by 0
- ProbabilityTheory.minimaxRisk_zeroproof · cited by 0