Mathlib Map

Theorems · Theorem · probability

MeasureTheory.HasPDF.congr_iff

∀ {Ω : Type u_1} {E : Type u_2} [inst : MeasurableSpace E] {x : MeasurableSpace Ω} {X Y : Ω → E}
  {ℙ : MeasureTheory.Measure Ω} {μ : MeasureTheory.Measure E},
  X =ᵐ[ℙ] Y → (MeasureTheory.HasPDF X ℙ μ ↔ MeasureTheory.HasPDF Y ℙ μ)
Defined in
Mathlib.Probability.Density
Cited by
0 results in Mathlib
Foundations
Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.ae · cited by 2352MeasureTheory.aeFilter.EventuallyEq · cited by 1912Filter.EventuallyEqFilter.EventuallyEq.symm · cited by 408EventuallyEq.symmMeasureTheory.HasPDF · cited by 37MeasureTheory.HasPDFMeasureTheory.HasPDF.congr · cited by 1HasPDF.congrHasPDF.congr_iffCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.