Theorems · Theorem · measure theory
MeasureTheory.OuterMeasure.smul_boundedBy
∀ {α : Type u_1} {m : Set α → ENNReal} {c : ENNReal},
c ≠ ⊤ → c • MeasureTheory.OuterMeasure.boundedBy m = MeasureTheory.OuterMeasure.boundedBy (c • m)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 162 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- Set.Nonemptyproof · cited by 2,627
- iSupproof · cited by 2,415
- MulZeroClass.mul_zeroproof · cited by 2,091
- MeasureTheory.OuterMeasurestatement · cited by 287
- Set.eq_empty_or_nonemptyproof · cited by 248
- iSup_congr_Propproof · cited by 247
- bot_eq_zero'proof · cited by 92
- iSup_posproof · cited by 61
- iSup_negproof · cited by 49
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.mkMetric_mono_smulproof · cited by 2
- MeasureTheory.OuterMeasure.mkMetric_smulproof · cited by 1