Theorems · Theorem · measure theory
MeasureTheory.Measure.toSignedMeasure_add
∀ {α : Type u_1} {m : MeasurableSpace α} (μ ν : MeasureTheory.Measure α) [inst : MeasureTheory.IsFiniteMeasure μ]
[inst_1 : MeasureTheory.IsFiniteMeasure ν], (μ + ν).toSignedMeasure = μ.toSignedMeasure + ν.toSignedMeasure- Cited by
- 2 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.Measure.realproof · cited by 530
- MeasureTheory.measure_ne_topproof · cited by 171
- add_applyproof · cited by 154
- MeasureTheory.SignedMeasurestatement · cited by 108
- MeasureTheory.VectorMeasure.extproof · cited by 65
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.singularPart_add_withDensity_rnDeriv_eqproof · cited by 6
- MeasureTheory.Measure.toSignedMeasure_restrict_subproof · cited by 1