Theorems · Theorem · measure theory
measure_Ioc_lt_top
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : TopologicalSpace α] [CompactIccSpace α] {m : MeasurableSpace α}
{μ : MeasureTheory.Measure α} [MeasureTheory.IsLocallyFiniteMeasure μ] {a b : α}, μ (Set.Ioc a b) < ⊤- Cited by
- 3 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Preorderstatement and proof · cited by 7,952
- Set.Iocstatement · cited by 971
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.measure_monoproof · cited by 338
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
Cited by3
Results whose statement or proof uses this declaration.
- intervalIntegrable_constproof · cited by 10
- MeasureTheory.Measure.ext_of_Iocproof · cited by 0