Theorems · Theorem · measure theory

MeasureTheory.norm_indicatorConstLp_top

∀ {α : Type u_1} {E : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup E]
  {s : Set α} {hs : MeasurableSet s} {hμs : μ s ≠ ⊤} {c : E},
  μ s ≠ 0 → ‖MeasureTheory.indicatorConstLp ⊤ hs hμs c‖ = ‖c‖

Defined in: Mathlib.MeasureTheory.Function.LpSpace.Indicator
Cited by: 1 results in Mathlib
Foundations: Depth 224 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

DFunLike.coestatement and proof · cited by 62,936
Setstatement and proof · cited by 53,352
Realstatement and proof · cited by 25,697
NormedAddCommGroupstatement and proof · cited by 15,752
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
ENNRealstatement and proof · cited by 9,879
Top.topstatement and proof · cited by 9,680
Norm.normstatement and proof · cited by 5,413
mul_oneproof · cited by 3,885
AddSubgroupstatement · cited by 3,232
MeasurableSetstatement and proof · cited by 3,075

Cited by1

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MeasureTheory.norm_indicatorConstLp'proof · cited by 0