Theorems · Theorem · probability
MeasureTheory.Measure.compProd_congr
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {μ : MeasureTheory.Measure α}
{κ η : ProbabilityTheory.Kernel α β} [ProbabilityTheory.IsSFiniteKernel κ] [ProbabilityTheory.IsSFiniteKernel η],
⇑κ =ᵐ[μ] ⇑η → μ.compProd κ = μ.compProd η- Cited by
- 4 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- DFunLikeproof · cited by 576
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
- MeasureTheory.Measure.compProdstatement and proof · cited by 132
- ProbabilityTheory.Kernel.compProdproof · cited by 99
- ProbabilityTheory.Kernel.constproof · cited by 93
- ProbabilityTheory.Kernel.prodMkLeftproof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.ae_eq_of_compProd_eqproof · cited by 3
- ProbabilityTheory.condDistrib_ae_eq_iff_measure_eq_compProdproof · cited by 1
- MeasureTheory.Measure.compProd_eq_zero_iffproof · cited by 1
- ProbabilityTheory.Kernel.compProd_eq_iffproof · cited by 1