Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.ennreal_mass
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {μ : MeasureTheory.FiniteMeasure Ω}, ↑μ.mass = ↑μ Set.univ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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 · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.univstatement and proof · cited by 3,945
- ENNReal.ofNNRealstatement · cited by 1,279
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasurestatement · cited by 87
- MeasureTheory.FiniteMeasure.massstatement · cited by 46
- MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.mass_zero_iffproof · cited by 5
- MeasureTheory.FiniteMeasure.testAgainstNN_constproof · cited by 2
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- MeasureTheory.FiniteMeasure.average_eq_integral_normalizeproof · cited by 0