Theorems · Theorem · measure theory
MeasureTheory.Measure.restrict_toMeasurable_of_sFinite
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.SFinite μ] (s : Set α),
μ.restrict (MeasureTheory.toMeasurable μ s) = μ.restrict s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- MeasureTheory.Measure.restrictstatement and proof · cited by 1,646
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.extproof · cited by 308
- Set.inter_commproof · cited by 291
- MeasureTheory.Measure.restrict_applyproof · cited by 159
- MeasureTheory.toMeasurablestatement and proof · cited by 77
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.withDensity_apply'proof · cited by 9
- MeasureTheory.Measure.iSup_restrict_spanningSetsproof · cited by 2
- MeasureTheory.exists_measurable_le_forall_setLIntegral_eqproof · cited by 1