Theorems · Theorem · measure theory
measure_Icc_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.Icc a b) < ⊤- Cited by
- 5 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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.Iccstatement · cited by 1,702
- MeasureTheory.IsLocallyFiniteMeasurestatement and proof · cited by 171
- CompactIccSpacestatement and proof · cited by 96
- CompactIccSpace.isCompact_Iccproof · cited by 42
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.ext_of_Iccproof · cited by 3
- measure_Ioc_lt_topproof · cited by 3
- measure_Ico_lt_topproof · cited by 1
- norm_torusIntegral_le_of_norm_le_constproof · cited by 0
- measure_Ioo_lt_topproof · cited by 0