Theorems · Definition · measure theory
MeasureTheory.Measure.count
{α : Type u_1} → [inst : MeasurableSpace α] → MeasureTheory.Measure αCounting measure on any measurable space.
- Defined in
- Mathlib.MeasureTheory.Measure.Count
- Cited by
- 60 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- MeasureTheory.Measure.diracproof · cited by 210
- MeasureTheory.Measure.sumproof · cited by 121
Cited by61
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOnproof · cited by 27
- MeasureTheory.Measure.count_singleton'statement · cited by 10
- MeasureTheory.Measure.count_apply_infinitestatement · cited by 5
- MeasureTheory.Measure.count_apply_finset'statement · cited by 4
- MeasureTheory.Measure.count_apply_lt_topstatement · cited by 4
- MeasureTheory.Measure.count_ne_zero_iffstatement · cited by 4
- MeasureTheory.Measure.count_univstatement · cited by 4
- MeasureTheory.Measure.count_applystatement · cited by 3
- MeasureTheory.Measure.count_eq_zero_iffstatement and proof · cited by 3
- MeasureTheory.lintegral_countstatement · cited by 3
- MeasureTheory.Measure.count_apply_eq_top'statement · cited by 2
- MeasureTheory.Measure.count_apply_finitestatement and proof · cited by 2