Theorems · Theorem · measure theory
measurableSet_closure
∀ {α : Type u_1} {s : Set α} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] [OpensMeasurableSpace α],
MeasurableSet (closure s)- Cited by
- 6 results in Mathlib
- Foundations
- Depth 66 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- closurestatement · cited by 1,254
- OpensMeasurableSpacestatement and proof · cited by 636
- isClosed_closureproof · cited by 195
- IsClosed.measurableSetproof · cited by 65
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_eq_zero_of_forall_setIntegral_isCompact_eq_zero'proof · cited by 1
- MeasureTheory.OuterMeasure.mkMetric'.trim_preproof · cited by 1
- measurableSet_frontierproof · cited by 1
- MeasureTheory.isTightMeasureSet_of_isCompact_closureproof · cited by 0
- RealRMK.range_cut_partitionproof · cited by 0