Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_univ
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}, μ.restrict Set.univ = μ- Defined in
- Mathlib.MeasureTheory.Measure.Restrict
- Cited by
- 76 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.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.univstatement · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.restrictstatement · cited by 1,646
- MeasureTheory.Measure.extproof · cited by 308
- Set.inter_univproof · cited by 198
- MeasureTheory.Measure.restrict_applyproof · cited by 159
Cited by76
Results whose statement or proof uses this declaration.
- MeasureTheory.setIntegral_univproof · cited by 25
- MeasureTheory.setLIntegral_univproof · cited by 23
- MeasureTheory.Measure.restrict_eq_self_of_ae_memproof · cited by 10
- MeasureTheory.integrableOn_univproof · cited by 10
- ProbabilityTheory.mgf_pos'proof · cited by 9
- MeasureTheory.LocallyIntegrable.aestronglyMeasurableproof · cited by 8
- MeasureTheory.Measure.restrict_add_restrict_complproof · cited by 8
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurableAtFilterproof · cited by 6
- MeasureTheory.lintegral_condLExpproof · cited by 5
- MeasureTheory.lintegral_le_of_forall_fin_meas_trim_leproof · cited by 5
- MeasureTheory.IsFundamentalDomain.sum_restrict_of_acproof · cited by 4
- MeasureTheory.IsAddFundamentalDomain.sum_restrict_of_acproof · cited by 4