Theorems · Theorem · measure theory
MeasureTheory.measure_singleton_lt_top
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {a : α} [MeasureTheory.SigmaFinite μ], μ {a} < ⊤- Cited by
- 2 results in Mathlib
- Foundations
- Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- 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
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Set.singleton_subset_iffproof · cited by 206
- MeasureTheory.measure_spanningSets_lt_topproof · cited by 25
- MeasureTheory.spanningSetsIndexproof · cited by 14
- MeasureTheory.mem_spanningSetsIndexproof · cited by 6
- MeasureTheory.measure_lt_top_monoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.sum_measureReal_singletonproof · cited by 0
- MeasureTheory.Measure.sigmaFinite_iff_measure_singleton_lt_topproof · cited by 0