Theorems · Theorem · measure theory
MeasureTheory.eLpNormEssSup_indicator_const_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) (c : ε), MeasureTheory.eLpNormEssSup (s.indicator fun x => c) μ ≤ ‖c‖ₑ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 204 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
- LE.le.transproof · cited by 3,151
- eq_or_neproof · cited by 1,117
- Set.indicatorstatement · cited by 723
- ENorm.enormstatement and proof · cited by 715
- Eq.leproof · cited by 605
- ESeminormedAddMonoidstatement and proof · cited by 133
- MeasureTheory.eLpNormEssSupstatement · cited by 59
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm_indicator_const_leproof · cited by 3
- MeasureTheory.eLpNormEssSup_indicator_const_eqproof · cited by 1