Theorems · Theorem · probability
ProbabilityTheory.isFiniteKernel_of_le
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} {κ ν : ProbabilityTheory.Kernel α β}
[hν : ProbabilityTheory.IsFiniteKernel ν], κ ≤ ν → ProbabilityTheory.IsFiniteKernel κ- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
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
- Set.univproof · cited by 3,945
- LE.le.transproof · cited by 3,151
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- ProbabilityTheory.IsFiniteKernelstatement and proof · cited by 178
- ProbabilityTheory.Kernel.boundproof · cited by 17
- ProbabilityTheory.Kernel.measure_le_boundproof · cited by 6
- ProbabilityTheory.Kernel.bound_lt_topproof · cited by 4
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