Theorems · Theorem · measure theory
MeasureTheory.Measure.real_def
∀ {α : Type u_6} {m : MeasurableSpace α} (μ : MeasureTheory.Measure α) (s : Set α), μ.real s = (μ s).toRealAlias of MeasureTheory.measureReal_def.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- ENNReal.toRealstatement · cited by 859
- MeasureTheory.Measure.realstatement · cited by 530
- MeasureTheory.measureReal_defproof · cited by 68
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.tendsto_integral_thickenedIndicator_of_isClosedproof · cited by 1
- MeasureTheory.Measure.toSignedMeasure_le_toSignedMeasure_iffproof · cited by 0
- TopologicalGroup.IsSES.inducedMeasure_lt_of_injOnproof · cited by 0
- TopologicalAddGroup.IsSES.inducedMeasure_lt_of_injOnproof · cited by 0