Theorems · Theorem · measure theory
MeasureTheory.eLpNormEssSup_indicator_le
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ε : Type u_7} [inst : TopologicalSpace ε]
[inst_1 : ESeminormedAddMonoid ε] (s : Set α) (f : α → ε),
MeasureTheory.eLpNormEssSup (s.indicator f) μ ≤ MeasureTheory.eLpNormEssSup f μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 173 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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Set.indicatorstatement · cited by 723
- ENorm.enormproof · cited by 715
- Filter.Eventually.of_forallproof · cited by 526
- ESeminormedAddMonoidstatement and proof · cited by 133
- Filter.isBounded_le_of_topproof · cited by 75
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- Filter.isCobounded_le_of_botproof · cited by 58
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNormEssSup_indicator_const_leproof · cited by 2