Theorems · Theorem · measure theory
MeasureTheory.measure_spanningSets_trim_lt_top
∀ {α : Type u_1} {m m0 : MeasurableSpace α} (hm : m ≤ m0) (μ : MeasureTheory.Measure α)
[inst : MeasureTheory.SigmaFinite (μ.trim hm)] (n : ℕ), μ (MeasureTheory.spanningSets (μ.trim hm) n) < ⊤- Defined in
- Mathlib.MeasureTheory.Measure.Trim
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
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 and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Top.topstatement · cited by 9,680
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.Measure.trimstatement and proof · cited by 286
- MeasureTheory.spanningSetsstatement · cited by 45
- MeasureTheory.measure_spanningSets_lt_topproof · cited by 25
- MeasureTheory.le_trimproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.sigmaFiniteTrim_monoproof · cited by 4