Theorems · Theorem · measure theory
measurableSet_Iic
∀ {α : Type u_1} [inst : TopologicalSpace α] {mα : MeasurableSpace α} [OpensMeasurableSpace α] [inst_2 : Preorder α]
{a : α} [ClosedIicTopology α], MeasurableSet (Set.Iic a)- Cited by
- 23 results in Mathlib
- Foundations
- Depth 59 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.
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- Preorderstatement and proof · cited by 7,952
- MeasurableSetstatement · cited by 3,075
- Set.Iicstatement · cited by 1,111
- OpensMeasurableSpacestatement and proof · cited by 636
- ClosedIicTopologystatement and proof · cited by 115
- IsClosed.measurableSetproof · cited by 65
- isClosed_Iicproof · cited by 23
Cited by23
Results whose statement or proof uses this declaration.
- measurableSet_Iocproof · cited by 65
- intervalIntegral.continuousWithinAt_primitiveproof · cited by 6
- MeasureTheory.Measure.IicSnd_applyproof · cited by 5
- MeasureTheory.norm_setIntegral_le_of_norm_le_const_ae'proof · cited by 3
- nullMeasurableSet_Iicproof · cited by 2
- ProbabilityTheory.setLIntegral_stieltjesOfMeasurableRatproof · cited by 2
- ProbabilityTheory.setLIntegral_toKernel_univproof · cited by 2
- integral_comp_absproof · cited by 2
- MeasureTheory.Measure.iInf_rat_gt_prod_Iicproof · cited by 2
- MeasureTheory.StronglyAdapted.isStoppingTime_crossingproof · cited by 2
- intervalIntegral.integral_indicatorproof · cited by 1
- ProbabilityTheory.eq_condKernel_of_measure_eq_compProd_realproof · cited by 1