Theorems · Theorem · probability
ProbabilityTheory.Kernel.kernel_sum_seq
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
[h : ProbabilityTheory.IsSFiniteKernel κ], ProbabilityTheory.Kernel.sum κ.seq = κ- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.IsSFiniteKernelstatement and proof · cited by 248
- ProbabilityTheory.Kernel.sumstatement · cited by 31
- ProbabilityTheory.Kernel.seqstatement · cited by 12
- ProbabilityTheory.IsSFiniteKernel.tsum_finiteproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.measurable_kernel_prodMk_leftproof · cited by 12
- ProbabilityTheory.Kernel.measure_sum_seqproof · cited by 2
- ProbabilityTheory.Kernel.IsSFiniteKernel.withDensityproof · cited by 0
- ProbabilityTheory.Kernel.compProd_eq_sum_compProd_leftproof · cited by 0
- ProbabilityTheory.Kernel.compProd_eq_sum_compProd_rightproof · cited by 0
- ProbabilityTheory.Kernel.isSFiniteKernel_sum_of_denumerableproof · cited by 0