Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.Measure.MutuallySingular.congr_ac

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ μ₂ ν ν₂ : MeasureTheory.Measure α},
  μ.AbsolutelyContinuous μ₂ →
    μ₂.AbsolutelyContinuous μ →
      ν.AbsolutelyContinuous ν₂ → ν₂.AbsolutelyContinuous ν → (μ.MutuallySingular ν ↔ μ₂.MutuallySingular ν₂)
Defined in
Mathlib.MeasureTheory.Measure.MutuallySingular
Cited by
0 results in Mathlib
Foundations
Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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.Measure.AbsolutelyContinuous · cited by 325Measure.AbsolutelyContinu…MeasureTheory.Measure.MutuallySingular · cited by 91Measure.MutuallySingularMeasureTheory.Measure.MutuallySingular.mono_ac · cited by 13MutuallySingular.mono_acMutuallySingular.congr_acCITED BYCITES

Cites5

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.