Theorems · Theorem · measure theory
MeasureTheory.Measure.count_apply_lt_top
∀ {α : Type u_1} [inst : MeasurableSpace α] {s : Set α} [MeasurableSingletonClass α],
MeasureTheory.Measure.count s < ⊤ ↔ s.Finite- Defined in
- Mathlib.MeasureTheory.Measure.Count
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 198 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 · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- Set.Finitestatement · cited by 1,814
- MeasurableSingletonClassstatement and proof · cited by 230
- lt_top_iff_ne_topproof · cited by 95
- MeasureTheory.Measure.countstatement · cited by 60
- MeasureTheory.Measure.count_apply_eq_topproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uniformOn_selfproof · cited by 2
- ProbabilityTheory.isProbabilityMeasure_uniformOnproof · cited by 2
- ProbabilityTheory.uniformOn_interproof · cited by 1
- ProbabilityTheory.uniformOn_disjoint_unionproof · cited by 1