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Theorems · Definition · measure theory

MeasureTheory.Measure.toFiniteAux

{α : Type u_1} →
  {mα : MeasurableSpace α} → (μ : MeasureTheory.Measure α) → [MeasureTheory.SFinite μ] → MeasureTheory.Measure α

Auxiliary definition for MeasureTheory.Measure.toFinite.

Defined in
Mathlib.MeasureTheory.Measure.WithDensityFinite
Cited by
4 results in Mathlib
Foundations
Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasureTheory.SFinite
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Around this declaration

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

MeasureTheory.Measure.toFinite · cited by 10Measure.toFiniteMeasureTheory.ae_toFinite · cited by 3MeasureTheory.ae_toFiniteMeasureTheory.ae_toFiniteAux · cited by 1MeasureTheory.ae_toFinite…MeasureTheory.isFiniteMeasure_toFiniteAux · cited by 0MeasureTheory.isFiniteMea…MeasureTheory.Measure.toFiniteAux.congr_simp · cited by 0toFiniteAux.congr_simpMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…MeasureTheory.SFinite · cited by 449MeasureTheory.SFiniteMeasureTheory.exists_isFiniteMeasure_absolutelyContinuous · cited by 4MeasureTheory.exists_isFi…Measure.toFiniteAuxCITED BYCITES

Cites5

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

Cited by5

Results whose statement or proof uses this declaration.