Theorems · Theorem · probability
ProbabilityTheory.Kernel.snd_map_prod
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} {δ : Type u_4} {mδ : MeasurableSpace δ} (κ : ProbabilityTheory.Kernel α β) {f : β → γ}
{g : β → δ}, Measurable f → (κ.map fun x => (f x, g x)).snd = κ.map g- Cited by
- 1 results in Mathlib
- Foundations
- Depth 207 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
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
- ENNRealproof · cited by 9,879
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- Measurablestatement and proof · cited by 1,499
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.extproof · cited by 308
- ProbabilityTheory.Kernel.extproof · cited by 116
- measurable_sndproof · cited by 94
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.snd_map_prod_idproof · cited by 0