Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.self_eq_mass_mul_normalize
∀ {Ω : Type u_1} [inst : Nonempty Ω] {m0 : MeasurableSpace Ω} (μ : MeasureTheory.FiniteMeasure Ω) (s : Set Ω),
μ s = μ.mass * μ.normalize s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement and proof · cited by 4,310
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- Nonempty.someproof · cited by 340
- MeasureTheory.Measure.diracproof · cited by 210
- ENNReal.toNNRealproof · cited by 165
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.self_eq_mass_smul_normalizeproof · cited by 2
- MeasureTheory.FiniteMeasure.normalize_eq_of_nonzeroproof · cited by 2