Theorems · Theorem · measure theory
MeasurableSet.diff
∀ {α : Type u_1} {m : MeasurableSpace α} {s₁ s₂ : Set α}, MeasurableSet s₁ → MeasurableSet s₂ → MeasurableSet (s₁ \ s₂)- Cited by
- 53 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement and proof · cited by 3,075
- MeasurableSet.complproof · cited by 172
- MeasurableSet.interproof · cited by 167
Cited by53
Results whose statement or proof uses this declaration.
- MeasurableSet.disjointedproof · cited by 16
- MeasureTheory.NullMeasurableSet.diffproof · cited by 9
- ProbabilityTheory.Kernel.rnDeriv_add_singularPartproof · cited by 7
- MeasureTheory.Measure.restrict_sub_eq_restrict_sub_restrictproof · cited by 6
- ContinuousOn.aemeasurableproof · cited by 4
- MeasurableSet.image_of_monotoneOnproof · cited by 4
- MeasurableSpace.generateFrom_iUnion_memPartitionproof · cited by 4
- MeasureTheory.IsStoppingTime.measurableSet_eq_of_countable_rangeproof · cited by 4
- MeasurableSet.symmDiffproof · cited by 4
- MeasureTheory.exists_decomposition_of_monotoneOn_hasDerivWithinAtproof · cited by 3
- MeasureTheory.VectorMeasure.of_add_of_sdiffproof · cited by 3