Theorems · Theorem · measure theory
MeasureTheory.Measure.le_count_apply
∀ {α : Type u_1} [inst : MeasurableSpace α] {s : Set α}, ∑' (x : ↑s), 1 ≤ MeasureTheory.Measure.count s- Defined in
- Mathlib.MeasureTheory.Measure.Count
- Cited by
- 1 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.
Cites14
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
- Set.Elemstatement · cited by 7,166
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- MeasureTheory.Measure.diracproof · cited by 210
- MeasureTheory.Measure.countstatement · cited by 60
- ENNReal.tsum_le_tsumproof · cited by 43
- tsum_subtypeproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.count_apply_infiniteproof · cited by 5