Theorems · Theorem · measure theory
MeasureTheory.piContent.congr_simp
∀ {ι : Type u_1} {X : ι → Type u_2} {mX : (i : ι) → MeasurableSpace (X i)}
(μ μ_1 : (i : ι) → MeasureTheory.Measure (X i)) (e_μ : μ = μ_1)
[hμ : ∀ (i : ι), MeasureTheory.IsProbabilityMeasure (μ i)], MeasureTheory.piContent μ = MeasureTheory.piContent μ_1- Defined in
- Mathlib.Probability.ProductMeasure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 233 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
- ENNRealstatement · cited by 9,879
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- MeasureTheory.AddContentstatement · cited by 78
- MeasureTheory.measurableCylindersstatement · cited by 48
- MeasureTheory.piContentstatement and proof · cited by 8
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.