Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.enorm_apply_le_bound
∀ {X : Type u_1} {E : Type u_2} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] {mX : MeasurableSpace X}
{μ : MeasureTheory.VectorMeasure X E} {s : Set X}, ‖μ s‖ₑ ≤ ↑μ.bound- Cited by
- 1 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- ENNRealstatement · cited by 9,879
- LE.le.transproof · cited by 3,151
- ENNReal.ofNNRealstatement · cited by 1,279
- ENorm.enormstatement · cited by 715
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.boundstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.nnnorm_apply_le_boundproof · cited by 1