Theorems · Theorem · probability
ProbabilityTheory.Kernel.bound_le_one
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β} (κ : ProbabilityTheory.Kernel α β)
[ProbabilityTheory.IsZeroOrMarkovKernel κ], κ.bound ≤ 1- Defined in
- Mathlib.Probability.Kernel.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- ENNRealstatement · cited by 9,879
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- IsEmptyproof · cited by 759
- isEmpty_or_nonemptyproof · cited by 269
- ProbabilityTheory.IsMarkovKernelproof · cited by 124
- ProbabilityTheory.IsZeroOrMarkovKernelstatement and proof · cited by 32
- ProbabilityTheory.Kernel.boundstatement · cited by 17
- ProbabilityTheory.eq_zero_or_isMarkovKernelproof · cited by 5
- ProbabilityTheory.Kernel.bound_eq_oneproof · cited by 4
- ProbabilityTheory.Kernel.bound_eq_zero_of_isEmptyproof · cited by 4
- ProbabilityTheory.Kernel.bound_zeroproof · cited by 1
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