Theorems · Theorem · functional analysis
PiLp.coe_symm_continuousLinearEquiv
∀ (p : ENNReal) (𝕜 : Type u_1) {ι : Type u_2} (β : ι → Type u_4) [inst : Semiring 𝕜]
[inst_1 : (i : ι) → AddCommGroup (β i)] [inst_2 : (i : ι) → Module 𝕜 (β i)]
[inst_3 : (i : ι) → TopologicalSpace (β i)], ⇑(PiLp.continuousLinearEquiv p 𝕜 β).symm = WithLp.toLp p- Defined in
- Mathlib.Analysis.Normed.Lp.PiLp
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- ENNRealstatement and proof · cited by 9,879
- ContinuousLinearEquivstatement · cited by 743
- ContinuousLinearEquiv.symmstatement · cited by 368
- PiLpstatement · cited by 150
- PiLp.continuousLinearEquivstatement · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- EuclideanSpace.volume_preserving_symm_measurableEquiv_toLpproof · cited by 4
- ProbabilityTheory.IsGaussianProcess.isPreBrownianReal_of_covarianceproof · cited by 4