Theorems · Theorem · functional analysis

HilbertBasis.ofRepr.injEq

∀ {ι : Type u_1} {𝕜 : Type u_2} [inst : RCLike 𝕜] {E : Type u_3} [inst_1 : NormedAddCommGroup E]
  [inst_2 : InnerProductSpace 𝕜 E] (repr repr_1 : E ≃ₗᵢ[𝕜] ↥(lp (fun x => 𝕜) 2)),
  ({ repr := repr } = { repr := repr_1 }) = (repr = repr_1)

Defined in

Mathlib.Analysis.InnerProductSpace.l2Space

Cited by

0 results in Mathlib

Foundations

Depth 231 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpace