Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_apply_univ
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} (s : Set α), (μ.restrict s) Set.univ = μ s- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- Set.univstatement · cited by 3,945
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- Set.univ_interproof · cited by 258
- MeasurableSet.univproof · cited by 178
- MeasureTheory.Measure.restrict_applyproof · cited by 159
Cited by15
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_eq_zeroproof · cited by 17
- MeasureTheory.setLIntegral_constproof · cited by 11
- MeasureTheory.Measure.prod_prod_leproof · cited by 4
- MeasureTheory.setLAverage_eqproof · cited by 3
- MeasureTheory.laverage_unionproof · cited by 2
- MeasureTheory.condExp_bilin_of_stronglyMeasurable_leftproof · cited by 2
- NumberField.mixedEmbedding.fundamentalCone.setLIntegral_paramSet_expproof · cited by 1
- MeasureTheory.setAverage_eq'proof · cited by 1
- MeasureTheory.norm_setIntegral_le_of_norm_le_const_aeproof · cited by 1
- MeasureTheory.VectorMeasure.variation_withDensity'proof · cited by 1
- Asymptotics.IsBigO.eventually_integrableOnproof · cited by 0
- MeasureTheory.measure_mul_setLAverageproof · cited by 0