Theorems · Definition · functional analysis

HilbertBasis.ofRepr.noConfusion

{ι : Type u_1} →
  {𝕜 : Type u_2} →
    {inst : RCLike 𝕜} →
      {E : Type u_3} →
        {inst_1 : NormedAddCommGroup E} →
          {inst_2 : InnerProductSpace 𝕜 E} →
            {P : Sort u} →
              {repr repr' : E ≃ₗᵢ[𝕜] ↥(lp (fun x => 𝕜) 2)} →
                { repr := repr } = { repr := repr' } → (repr ≍ repr' → P) → P

Defined in

Mathlib.Analysis.InnerProductSpace.l2Space

Cited by

1 results in Mathlib

Foundations

Depth 229 from the axioms · uses propext, Classical.choice, Quot.sound