Theorems · Theorem · functional analysis

PiLp.equivOfUnique_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] (x : PiLp p β),
  (PiLp.equivOfUnique p 𝕜 β) x = x.ofLp default

Defined in

Mathlib.Analysis.Normed.Lp.PiLp

Cited by

1 results in Mathlib

Foundations

Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddCommGroupModuleTopologicalSpaceUnique