Theorems · Theorem · probability
StrongDual.toLp_apply
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {mE : MeasurableSpace E} {μ : MeasureTheory.Measure E} {p : ENNReal}
{𝕜 : Type u_2} [inst_1 : RCLike 𝕜] [inst_2 : NormedSpace 𝕜 E] [inst_3 : OpensMeasurableSpace E]
[inst_4 : Fact (1 ≤ p)] (h_Lp : MeasureTheory.MemLp id p μ) (L : StrongDual 𝕜 E),
(StrongDual.toLp μ p) L = MeasureTheory.MemLp.toLp ⇑L ⋯- Cited by
- 1 results in Mathlib
- Foundations
- Depth 238 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- RingHom.idstatement · cited by 18,349
- 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
- ContinuousLinearMapstatement · cited by 5,352
- AddSubgroupstatement · cited by 3,232
- RCLikestatement and proof · cited by 2,829
- Factstatement and proof · cited by 2,726
- MeasureTheory.AEEqFunstatement · cited by 856
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.uncenteredCovarianceBilinDual_applyproof · cited by 4