Theorems · Theorem · measure theory
nullMeasurableSet_Iic
∀ {α : Type u_1} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [OpensMeasurableSpace α] [inst_2 : Preorder α]
{a : α} {μ : MeasureTheory.Measure α} [ClosedIicTopology α], MeasureTheory.NullMeasurableSet (Set.Iic a) μ- Cited by
- 2 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.
Cites10
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
- Preorderstatement and proof · cited by 7,952
- Set.Iicstatement · cited by 1,111
- OpensMeasurableSpacestatement and proof · cited by 636
- MeasureTheory.NullMeasurableSetstatement · cited by 337
- MeasurableSet.nullMeasurableSetproof · cited by 155
- ClosedIicTopologystatement and proof · cited by 115
- measurableSet_Iicproof · cited by 23
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.ext_of_Iicproof · cited by 2
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2