Theorems · Theorem · measure theory
MeasureTheory.Measure.count_apply
∀ {α : Type u_1} [inst : MeasurableSpace α] {s : Set α}, MeasurableSet s → MeasureTheory.Measure.count s = ↑s.encard- Defined in
- Mathlib.MeasureTheory.Measure.Count
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 193 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.
Cites15
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
- MeasurableSetstatement and proof · cited by 3,075
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- Set.encardstatement and proof · cited by 327
- MeasureTheory.Measure.diracproof · cited by 210
- ENat.toENNRealstatement and proof · cited by 103
- MeasureTheory.Measure.countstatement · cited by 60
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.count_univproof · cited by 4
- MeasureTheory.Measure.count_apply_finset'proof · cited by 4
- Function.Injective.map_count_leproof · cited by 0