Theorems · Theorem · probability
MeasureTheory.MeasurePreserving.hasLaw
∀ {Ω : Type u_1} {𝓧 : Type u_2} {mΩ : MeasurableSpace Ω} {m𝓧 : MeasurableSpace 𝓧} {X : Ω → 𝓧}
{μ : MeasureTheory.Measure 𝓧} {P : MeasureTheory.Measure Ω},
MeasureTheory.MeasurePreserving X P μ → ProbabilityTheory.HasLaw X μ P- Defined in
- Mathlib.Probability.HasLaw
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Measurable.aemeasurableproof · cited by 304
- MeasureTheory.MeasurePreservingstatement and proof · cited by 259
- MeasureTheory.MeasurePreserving.map_eqproof · cited by 72
- ProbabilityTheory.HasLawstatement · cited by 69
- MeasureTheory.MeasurePreserving.measurableproof · cited by 23
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsPreBrownianReal.hasLaw_evalproof · cited by 3
- MeasureTheory.MeasurePreserving.comp_hasLawproof · cited by 1
- ProbabilityTheory.exists_hasLaw_indepFunproof · cited by 1
- ProbabilityTheory.IsPreBrownianReal.hasLaw_subproof · cited by 0