Theorems · Theorem · measure theory
MeasureTheory.eLpNorm_nsmul
∀ {α : Type u_1} {F : Type u_2} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup F] [NormedSpace ℝ F] (n : ℕ) (f : α → F),
MeasureTheory.eLpNorm (n • f) p μ = ↑n * MeasureTheory.eLpNorm f p μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.eLpNormstatement and proof · cited by 329
- Nat.cast_smul_eq_nsmulproof · cited by 110
- MeasureTheory.eLpNorm_const_smulproof · cited by 4
- Real.enorm_natCastproof · cited by 3
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