Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.enorm_apply_le_semivariation_of_subset
∀ {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 t : Set X}, s ⊆ t → ‖μ s‖ₑ ≤ μ.semivariation t- Cited by
- 0 results in Mathlib
- Foundations
- Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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- 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
- ENorm.enormstatement · cited by 715
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.semivariationstatement · cited by 7
- MeasureTheory.VectorMeasure.semivariation_monoproof · cited by 2
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