Theorems · Theorem · probability
ProbabilityTheory.Kernel.lintegral_swapLeft
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {mα : MeasurableSpace α} {mβ : MeasurableSpace β}
{mγ : MeasurableSpace γ} (κ : ProbabilityTheory.Kernel (α × β) γ) (a : β × α) (g : γ → ENNReal),
∫⁻ (c : γ), g c ∂κ.swapLeft a = ∫⁻ (c : γ), g c ∂κ a.swap- Cited by
- 0 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- ENNRealstatement and proof · cited by 9,879
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- ProbabilityTheory.Kernel.swapLeftstatement · cited by 8
- ProbabilityTheory.Kernel.swapLeft_applyproof · cited by 1
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