Theorems · Definition · functional analysis

OrthonormalBasis.toBasis

{ι : Type u_1} →
  {𝕜 : Type u_3} →
    [inst : RCLike 𝕜] →
      {E : Type u_4} →
        [inst_1 : NormedAddCommGroup E] →
          [inst_2 : InnerProductSpace 𝕜 E] → [inst_3 : Fintype ι] → OrthonormalBasis ι 𝕜 E → Module.Basis ι 𝕜 E

The Basis ι 𝕜 E underlying the OrthonormalBasis

Defined in

Mathlib.Analysis.InnerProductSpace.PiL2

Cited by

102 results in Mathlib

Foundations

Depth 222 from the axioms, rests on 5,078 definitions · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceFintype