Theorems · Theorem · measure theory
MeasureTheory.eLpNormEssSup_add_le
∀ {α : Type u_1} {ε : Type u_3} {m : MeasurableSpace α} [inst : TopologicalSpace ε] [inst_1 : ESeminormedAddMonoid ε]
{μ : MeasureTheory.Measure α} {f g : α → ε},
MeasureTheory.eLpNormEssSup (f + g) μ ≤ MeasureTheory.eLpNormEssSup f μ + MeasureTheory.eLpNormEssSup g μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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_transproof · cited by 985
- 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
- enorm_add_leproof · cited by 11
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