Theorems · Theorem · probability
ProbabilityTheory.Kernel.compProd_zero_right
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
(γ : Type u_4) {mγ : MeasurableSpace γ}, κ.compProd 0 = 0- Cited by
- 4 results in Mathlib
- Foundations
- Depth 227 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.preimageproof · cited by 4,946
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MulZeroClass.zero_mulproof · cited by 1,625
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.Measure.extproof · cited by 308
- zero_applyproof · cited by 251
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.compProd_zero_rightproof · cited by 2
- ProbabilityTheory.Kernel.HasSubgaussianMGF.integrable_exp_add_compProdproof · cited by 1
- ProbabilityTheory.Kernel.compProd_eq_zero_iffproof · cited by 0
- ProbabilityTheory.Kernel.compProd_assocproof · cited by 0