Theorems · Theorem · measure theory
MeasureTheory.Measure.count_univ
∀ {α : Type u_1} [inst : MeasurableSpace α], MeasureTheory.Measure.count Set.univ = ↑(ENat.card α)- Defined in
- Mathlib.MeasureTheory.Measure.Count
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 194 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.
Cites12
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 · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univstatement · cited by 3,945
- MeasurableSet.univproof · cited by 178
- ENat.toENNRealstatement and proof · cited by 103
- ENat.cardstatement and proof · cited by 89
- MeasureTheory.Measure.countstatement · cited by 60
- Set.encard_univproof · cited by 15
- MeasureTheory.Measure.count_applyproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- essSup_uniformOn_eq_ciSupproof · cited by 0
- ProbabilityTheory.uniformOn_univproof · cited by 0
- MeasureTheory.Measure.count_real_univproof · cited by 0
- essInf_cond_count_eq_ciInfproof · cited by 0