Theorems · Theorem · functional analysis
MeasureTheory.MemLp.pos_part
∀ {α : Type u_1} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α} {f : α → ℝ},
MeasureTheory.MemLp f p μ → MeasureTheory.MemLp (fun x => max (f x) 0) p μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- le_rflproof · cited by 1,558
- MeasureTheory.MemLpstatement and proof · cited by 457
- max_eq_rightproof · cited by 79
- LipschitzWith.comp_memLpproof · cited by 6
- MeasureTheory.Lp.lipschitzWith_pos_partproof · cited by 3
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