Theorems · Theorem · measure theory
MeasureTheory.IsFiniteMeasure.measure_univ_lt_top
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [self : MeasureTheory.IsFiniteMeasure μ],
μ Set.univ < ⊤- Cited by
- 6 results in Mathlib
- Foundations
- Depth 170 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.univstatement · cited by 3,945
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_lt_topproof · cited by 39
- MeasureTheory.Measure.isFiniteMeasure_of_mapproof · cited by 2
- MeasureTheory.sigmaFinite_trim_bot_iffproof · cited by 2
- MeasureTheory.QuotientMeasureEqMeasurePreimage.covolume_ne_topproof · cited by 1
- MeasureTheory.AddQuotientMeasureEqMeasurePreimage.covolume_ne_topproof · cited by 1
- MeasureTheory.ext_on_measurableSpace_of_generate_finiteproof · cited by 1