Theorems · Theorem · functional analysis
PiLp.equivOfUnique_symm_apply
∀ (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)] [inst_4 : Unique ι] (a : β default),
(PiLp.equivOfUnique p 𝕜 β).symm a = WithLp.toLp p (uniqueElim a)- Defined in
- Mathlib.Analysis.Normed.Lp.PiLp
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
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
- 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
- Uniquestatement and proof · cited by 400
- ContinuousLinearEquiv.symmstatement and proof · cited by 368
- PiLpstatement · cited by 150
- uniqueElimstatement · cited by 29
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