Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.sup_apply
∀ {α : Type u_1} (m₁ m₂ : MeasureTheory.OuterMeasure α) (s : Set α), (m₁ ⊔ m₂) s = max (m₁ s) (m₂ s)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ENNRealstatement and proof · cited by 9,879
- iSupproof · cited by 2,415
- MeasureTheory.OuterMeasurestatement and proof · cited by 287
- iSup_bool_eqproof · cited by 12
- MeasureTheory.OuterMeasure.iSup_applyproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.map_supproof · cited by 0
- MeasureTheory.OuterMeasure.trim_supproof · cited by 0