Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrict
∀ {α : Type u_1} {m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α} {s : Set α},
MeasurableSet s → (μ - ν).restrict s = μ.restrict s - ν.restrict s- Defined in
- Mathlib.MeasureTheory.Measure.Sub
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 198 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites45
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Top.topproof · cited by 9,680
- Set.ofPredproof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complproof · cited by 2,925
- add_zeroproof · cited by 2,707
- Set.Nonemptyproof · cited by 2,627
- le_antisymmproof · cited by 2,068
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.sub_apply_eq_zero_of_isHahnDecompositionproof · cited by 2
- MeasureTheory.Measure.toSignedMeasure_restrict_subproof · cited by 1
- MeasureTheory.Measure.withDensity_subproof · cited by 0
- MeasureTheory.Measure.add_sub_of_mutuallySingularproof · cited by 0
- MeasureTheory.Measure.sub_apply_eq_zero_of_restrict_le_restrictproof · cited by 0
- MeasureTheory.Measure.sub_le_iff_le_addproof · cited by 0