Theorems · Theorem · measure theory
MeasureTheory.coe_measureUnivNNReal
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [MeasureTheory.IsFiniteMeasure μ],
↑(MeasureTheory.measureUnivNNReal μ) = μ Set.univ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Set.univstatement and proof · cited by 3,945
- ENNReal.ofNNRealstatement · cited by 1,279
- MeasureTheory.IsFiniteMeasurestatement and proof · cited by 1,078
- MeasureTheory.measure_ne_topproof · cited by 171
- ENNReal.coe_toNNRealproof · cited by 53
- MeasureTheory.measureUnivNNRealstatement · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.nnnorm_le_of_ae_boundproof · cited by 2
- MeasureTheory.tendsto_Lp_finite_of_tendsto_ae_of_measproof · cited by 1
- MeasureTheory.measureUnivNNReal_eq_zeroproof · cited by 0