Theorems · Theorem · functional analysis
MeasureTheory.eLpNorm_one_add_measure
∀ {α : Type u_1} {m0 : MeasurableSpace α} {ε : Type u_8} [inst : ENorm ε] (f : α → ε) (μ ν : MeasureTheory.Measure α),
MeasureTheory.eLpNorm f 1 (μ + ν) = MeasureTheory.eLpNorm f 1 μ + MeasureTheory.eLpNorm f 1 ν- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 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 and proof · cited by 9,879
- MeasureTheory.lintegralproof · cited by 1,152
- ENorm.enormproof · cited by 715
- MeasureTheory.eLpNormstatement · cited by 329
- ENormstatement and proof · cited by 155
- MeasureTheory.eLpNorm_one_eq_lintegral_enormproof · cited by 16
- MeasureTheory.lintegral_add_measureproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Integrable.add_measureproof · cited by 6