Theorems · Theorem · measure theory
MeasureTheory.measure_symmDiff_eq
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
MeasureTheory.NullMeasurableSet s μ → MeasureTheory.NullMeasurableSet t μ → μ (symmDiff s t) = μ (s \ t) + μ (t \ s)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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 · cited by 9,879
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- symmDiffstatement · cited by 236
- Disjoint.aedisjointproof · cited by 29
- MeasureTheory.NullMeasurableSet.diffproof · cited by 9
- disjoint_sdiff_sdiffproof · cited by 6
- MeasureTheory.measure_union₀proof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableSet.exists_isOpen_symmDiff_ltproof · cited by 1
- MeasureTheory.abs_measureReal_sub_le_measureReal_symmDiff'proof · cited by 1
- MeasureTheory.measureReal_symmDiff_eqproof · cited by 0