Theorems · Theorem · probability
ProbabilityTheory.IsCondKernelCDF.le_one
∀ {α : Type u_1} {β : Type u_2} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{κ : ProbabilityTheory.Kernel α (β × ℝ)} {ν : ProbabilityTheory.Kernel α β} {f : α × β → StieltjesFunction ℝ},
ProbabilityTheory.IsCondKernelCDF f κ ν → ∀ (p : α × β) (x : ℝ), ↑(f p) x ≤ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
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- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- StieltjesFunction.toFunstatement · cited by 120
- StieltjesFunctionstatement and proof · cited by 85
- StieltjesFunction.monoproof · cited by 23
- ProbabilityTheory.IsCondKernelCDFstatement and proof · cited by 22
- Monotone.ge_of_tendstoproof · cited by 8
- ProbabilityTheory.IsCondKernelCDF.tendsto_atTop_oneproof · cited by 1
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