Theorems · Theorem · measure theory
MeasureTheory.isFiniteMeasure_restrict
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s : Set α},
MeasureTheory.IsFiniteMeasure (μ.restrict s) ↔ μ s ≠ ⊤- Cited by
- 5 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · 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 and proof · cited by 9,680
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- MeasureTheory.IsFiniteMeasurestatement · cited by 1,078
- Set.univ_interproof · cited by 258
- MeasureTheory.Measure.restrict_applyproof · cited by 159
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.integrableOn_const_iffproof · cited by 7
- ConvexOn.map_condExp_leproof · cited by 4
- MeasureTheory.integrableOn_singleton_iffproof · cited by 1
- Convex.condExp_memproof · cited by 0
- MeasureTheory.integrable_indicatorConstLpproof · cited by 0