Theorems · Theorem · measure theory
MeasureTheory.measure_add_sdiff
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.NullMeasurableSet s μ → ∀ (t : Set α), μ s + μ (t \ s) = μ (s ∪ t)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · 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
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- Disjoint.aedisjointproof · cited by 29
- Set.union_sdiff_selfproof · cited by 28
- Set.disjoint_sdiff_rightproof · cited by 23
- MeasureTheory.measure_union₀'proof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_sdiff'proof · cited by 4
- MeasureTheory.Measure.restrict_union_congrproof · cited by 1
- MeasureTheory.measure_add_diffproof · cited by 0