Theorems · Theorem · functional analysis
MeasureTheory.Lp.toLp_coeFn
∀ {α : Type u_1} {E : Type u_4} {m : MeasurableSpace α} {p : ENNReal} {μ : MeasureTheory.Measure α}
[inst : NormedAddCommGroup E] (f : ↥(MeasureTheory.Lp E p μ)) (hf : MeasureTheory.MemLp (↑↑f) p μ),
MeasureTheory.MemLp.toLp (↑↑f) hf = f- Cited by
- 3 results in Mathlib
- Foundations
- Depth 222 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- AddSubgroupstatement · cited by 3,232
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.Lpstatement and proof · cited by 715
- MeasureTheory.MemLpstatement and proof · cited by 457
- MeasureTheory.AEEqFun.caststatement and proof · cited by 380
- Subtype.coe_etaproof · cited by 110
- MeasureTheory.MemLp.toLpstatement · cited by 70
- MeasureTheory.AEEqFun.mkproof · cited by 62
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.boundedContinuousFunction_denseproof · cited by 2
- MeasureTheory.Lp.simpleFunc.isDenseEmbeddingproof · cited by 1
- MeasureTheory.Integrable.toL1_coeFnproof · cited by 1