Theorems · Theorem · measure theory
MeasureTheory.Measure.isLocallyFiniteMeasure_of_le
∀ {α : Type u_1} [inst : TopologicalSpace α] {_m : MeasurableSpace α} {μ ν : MeasureTheory.Measure α}
[H : MeasureTheory.IsLocallyFiniteMeasure μ], ν ≤ μ → MeasureTheory.IsLocallyFiniteMeasure ν- Cited by
- 1 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- nhdsproof · cited by 5,554
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- MeasureTheory.Measure.FiniteAtFilterproof · cited by 35
- MeasureTheory.Measure.FiniteAtFilter.measure_monoproof · cited by 2
- MeasureTheory.IsLocallyFiniteMeasure.finiteAtNhdsproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- VitaliFamily.ae_tendsto_measure_inter_div_of_measurableSetproof · cited by 2