Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.restrict_apply
∀ {α : Type u_1} (s t : Set α) (m : MeasureTheory.OuterMeasure α),
((MeasureTheory.OuterMeasure.restrict s) m) t = m (t ∩ s)- Cited by
- 9 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- ENNRealstatement · cited by 9,879
- Set.inter_commproof · cited by 291
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- Subtype.image_preimage_coeproof · cited by 37
- MeasureTheory.OuterMeasure.restrictstatement · cited by 20
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.restrict_apply'proof · cited by 32
- MeasureTheory.Measure.restrict_apply₀proof · cited by 10
- MeasureTheory.Measure.restrict_sInf_eq_sInf_restrictproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_trimproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_univproof · cited by 1
- MeasureTheory.OuterMeasure.map_topproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_monoproof · cited by 0
- MeasureTheory.OuterMeasure.map_le_restrict_rangeproof · cited by 0
- MeasureTheory.OuterMeasure.restrict_emptyproof · cited by 0