Theorems · Theorem · measure theory
Set.Finite.measurableSet
∀ {α : Type u_1} [inst : MeasurableSpace α] [MeasurableSingletonClass α] {s : Set α}, s.Finite → MeasurableSet s- Cited by
- 15 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.Finitestatement and proof · cited by 1,814
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasurableSet.emptyproof · cited by 58
- Set.Finite.induction_onproof · cited by 39
- MeasurableSet.insertproof · cited by 3
Cited by15
Results whose statement or proof uses this declaration.
- Set.OrdConnected.measurableSetproof · cited by 4
- Finset.measurableSetproof · cited by 4
- measurable_of_measurable_on_compl_finiteproof · cited by 2
- ProbabilityTheory.uniformOn_selfproof · cited by 2
- MeasureTheory.exists_subset_real_measurableEquivproof · cited by 1
- MeasureTheory.Measure.count_apply_eq_topproof · cited by 1
- ProbabilityTheory.uniformOn_disjoint_unionproof · cited by 1
- ProbabilityTheory.uniformOn_eq_zero_iffproof · cited by 1
- ProbabilityTheory.uniformOn_interproof · cited by 1
- ProbabilityTheory.uniformOn_inter_selfproof · cited by 1
- ProbabilityTheory.uniformOn_unionproof · cited by 1
- Set.Finite.nullMeasurableSetproof · cited by 0