Theorems · Theorem · functional analysis

HilbertBasis.ofRepr.inj

∀ {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

1 results in Mathlib

Foundations

Depth 230 from the axioms · uses propext, Classical.choice, Quot.sound