Theorems · Theorem · probability
ProbabilityTheory.Kernel.map_zero
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {γ : Type u_4}
{mγ : MeasurableSpace γ} {f : β → γ}, ProbabilityTheory.Kernel.map 0 f = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Measurableproof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.mapproof · cited by 858
- MeasureTheory.Measure.extproof · cited by 308
- zero_applyproof · cited by 251
- ProbabilityTheory.Kernel.extproof · cited by 116
- ProbabilityTheory.Kernel.mapstatement · cited by 84
- ProbabilityTheory.Kernel.map_applyproof · cited by 28
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.fst_zeroproof · cited by 2
- ProbabilityTheory.Kernel.snd_zeroproof · cited by 1
- ProbabilityTheory.Kernel.swapRight_zeroproof · cited by 0
- ProbabilityTheory.Kernel.compProd_assocproof · cited by 0