Theorems · Definition · measure theory
MeasureTheory.SignedMeasure.toComplexMeasure
{α : Type u_1} →
{m : MeasurableSpace α} →
MeasureTheory.SignedMeasure α → MeasureTheory.SignedMeasure α → MeasureTheory.ComplexMeasure αGiven s and t signed measures, s + it is a complex measure
- Defined in
- Mathlib.MeasureTheory.Measure.Complex
- Cited by
- 8 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetproof · cited by 3,075
- MeasureTheory.SignedMeasurestatement and proof · cited by 108
- MeasureTheory.ComplexMeasurestatement · cited by 13
Cited by10
Results whose statement or proof uses this declaration.
- MeasureTheory.ComplexMeasure.equivSignedMeasureproof · cited by 4
- MeasureTheory.ComplexMeasure.singularPartproof · cited by 1
- MeasureTheory.ComplexMeasure.toComplexMeasure_to_signedMeasurestatement · cited by 1
- MeasureTheory.SignedMeasure.toComplexMeasure_applystatement · cited by 1
- MeasureTheory.SignedMeasure.re_toComplexMeasurestatement · cited by 0
- MeasureTheory.ComplexMeasure.singularPart_add_withDensity_rnDeriv_eqproof · cited by 0
- MeasureTheory.SignedMeasure.im_toComplexMeasurestatement · cited by 0
- MeasureTheory.SignedMeasure.toComplexMeasure_apply_imstatement and proof · cited by 0
- MeasureTheory.SignedMeasure.toComplexMeasure_apply_restatement and proof · cited by 0
- MeasureTheory.ComplexMeasure.equivSignedMeasure_symm_applystatement · cited by 0