Theorems · Theorem · functional analysis
MeasureTheory.enorm_ae_le_eLpNormEssSup
∀ {α : Type u_1} {ε : Type u_8} [inst : ENorm ε] {x : MeasurableSpace α} (f : α → ε) (μ : MeasureTheory.Measure α),
∀ᵐ (x_1 : α) ∂μ, ‖f x_1‖ₑ ≤ MeasureTheory.eLpNormEssSup f μ- Cited by
- 3 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ENorm
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Filter.Eventuallystatement · cited by 3,134
- MeasureTheory.aestatement · cited by 2,352
- ENorm.enormstatement and proof · cited by 715
- ENormstatement and proof · cited by 155
- MeasureTheory.eLpNormEssSupstatement · cited by 59
- ENNReal.ae_le_essSupproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.eLpNorm'_le_eLpNormEssSup_mul_rpow_measure_univproof · cited by 3
- MeasureTheory.eLpNorm_le_eLpNorm_top_mul_eLpNormproof · cited by 3
- MeasureTheory.MemLp.eLpNormEssSup_indicator_norm_ge_eq_zeroproof · cited by 1