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Theorems · Theorem · functional analysis

MeasureTheory.Lp.const_mem_Lp

∀ {E : Type u_4} {p : ENNReal} [inst : NormedAddCommGroup E] (α : Type u_6) {x : MeasurableSpace α}
  (μ : MeasureTheory.Measure α) (c : E) [MeasureTheory.IsFiniteMeasure μ],
  MeasureTheory.AEEqFun.const α c ∈ MeasureTheory.Lp E p μ
Defined in
Mathlib.MeasureTheory.Function.LpSpace.Basic
Cited by
0 results in Mathlib
Foundations
Depth 221 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupMeasureTheory.IsFiniteMeasure
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.Lp.const · cited by 12Lp.constNormedAddCommGroup · cited by 15752NormedAddCommGroupMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureENNReal · cited by 9879ENNRealAddSubgroup · cited by 3232AddSubgroupMeasureTheory.IsFiniteMeasure · cited by 1078MeasureTheory.IsFiniteMea…MeasureTheory.AEEqFun · cited by 856MeasureTheory.AEEqFunMeasureTheory.Lp · cited by 715MeasureTheory.LpMeasureTheory.memLp_const · cited by 16MeasureTheory.memLp_constMeasureTheory.AEEqFun.const · cited by 9AEEqFun.constMeasureTheory.MemLp.eLpNorm_mk_lt_top · cited by 4MemLp.eLpNorm_mk_lt_topLp.const_mem_LpCITED BYCITES

Cites11

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Cited by1

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