Theorems · Definition · probability
ProbabilityTheory.Kernel.Invariant
{α : Type u_1} → {mα : MeasurableSpace α} → ProbabilityTheory.Kernel α α → MeasureTheory.Measure α → PropA measure μ is invariant with respect to the kernel κ if the push-forward measure of μ
along κ equals μ.
- Defined in
- Mathlib.Probability.Kernel.Invariance
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ProbabilityTheory.Kernelstatement and proof · cited by 1,281
- MeasureTheory.Measure.bindproof · cited by 173
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.Invariant.defstatement and proof · cited by 1
- ProbabilityTheory.Kernel.IsReversible.invariantstatement · cited by 0
- ProbabilityTheory.Kernel.Invariant.compstatement and proof · cited by 0
- ProbabilityTheory.Kernel.Invariant.comp_conststatement and proof · cited by 0