Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.enorm_apply_le_semivariation
∀ {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.semivariation s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites25
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
- 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
- Set.ofPredproof · cited by 6,101
- Norm.normproof · cited by 5,413
- MeasurableSetproof · cited by 3,075
- ENNReal.ofRealproof · cited by 863
- ENorm.enormstatement and proof · cited by 715
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.enorm_apply_le_boundproof · cited by 1
- MeasureTheory.VectorMeasure.enorm_apply_le_semivariation_of_subsetproof · cited by 0