Theorems · Theorem · measure theory
MeasureTheory.sigmaFinite_trim_bot_iff
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α},
MeasureTheory.SigmaFinite (μ.trim ⋯) ↔ MeasureTheory.IsFiniteMeasure μ- Defined in
- Mathlib.MeasureTheory.Measure.Trim
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
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.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Top.topproof · cited by 9,680
- Bot.botstatement · cited by 4,720
- Set.univproof · cited by 3,945
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.SigmaFinitestatement · cited by 526
- bot_lestatement and proof · cited by 306
- MeasureTheory.Measure.trimstatement and proof · cited by 286
- MeasurableSet.univproof · cited by 178
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.condExp_bot'proof · cited by 3
- MeasureTheory.condLExp_bot'proof · cited by 2