Theorems · Definition · measure theory
MeasureTheory.ComplexMeasure
(α : Type u_2) → [MeasurableSpace α] → Type (max u_2 0)
A ComplexMeasure is a ℂ-vector measure.
- Defined in
- Mathlib.MeasureTheory.Measure.Complex
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Complexproof · cited by 5,565
- MeasureTheory.VectorMeasureproof · cited by 451
Cited by23
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toComplexMeasurestatement · cited by 8
- MeasureTheory.ComplexMeasure.imstatement · cited by 7
- MeasureTheory.ComplexMeasure.restatement · cited by 7
- MeasureTheory.ComplexMeasure.equivSignedMeasurestatement and proof · cited by 4
- MeasureTheory.ComplexMeasure.equivSignedMeasureₗstatement and proof · cited by 2
- MeasureTheory.ComplexMeasure.rnDerivstatement and proof · cited by 2
- MeasureTheory.ComplexMeasure.HaveLebesgueDecompositionstatement · cited by 1
- MeasureTheory.ComplexMeasure.im_applystatement · cited by 1
- MeasureTheory.ComplexMeasure.integrable_rnDerivstatement and proof · cited by 1
- MeasureTheory.ComplexMeasure.re_applystatement · cited by 1
- MeasureTheory.ComplexMeasure.singularPartstatement and proof · cited by 1
- MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasurestatement and proof · cited by 1