Theorems · Theorem · measure theory
MeasureTheory.Measure.IsEverywherePos.smul_measure
∀ {α : Type u_1} [inst : TopologicalSpace α] [inst_1 : MeasurableSpace α] {μ : MeasureTheory.Measure α} {s : Set α},
μ.IsEverywherePos s → ∀ {c : ENNReal}, c ≠ 0 → (c • μ).IsEverywherePos s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 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.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- nhdsWithinproof · cited by 1,912
- Ne.bot_ltproof · cited by 116
- bot_eq_zero'proof · cited by 92
- MeasureTheory.Measure.IsEverywherePosstatement and proof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.IsEverywherePos.smul_measure_nnrealproof · cited by 2