Theorems · Theorem · measure theory
MeasureTheory.IsFiniteMeasureOnCompacts.lt_top_of_isCompact
∀ {α : Type u_1} {m0 : MeasurableSpace α} {inst : TopologicalSpace α} {μ : MeasureTheory.Measure α}
[self : MeasureTheory.IsFiniteMeasureOnCompacts μ] ⦃K : Set α⦄, IsCompact K → μ K < ⊤- Cited by
- 3 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- TopologicalSpacestatement and proof · cited by 24,529
- 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
- IsCompactstatement · cited by 1,282
- MeasureTheory.IsFiniteMeasureOnCompactsstatement and proof · cited by 109
Cited by3
Results whose statement or proof uses this declaration.
- IsCompact.measure_lt_topproof · cited by 35
- intervalIntegral.intervalIntegrable_cpowproof · cited by 2
- MeasureTheory.IsFiniteMeasureOnCompacts.comap'proof · cited by 2