Theorems · Theorem · functional analysis

Module.Basis.coe_toOrthonormalBasis

∀ {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] (v : Module.Basis ι 𝕜 E) (hv : Orthonormal 𝕜 ⇑v),
  ⇑(v.toOrthonormalBasis hv) = ⇑v

Defined in

Mathlib.Analysis.InnerProductSpace.PiL2

Cited by

6 results in Mathlib

Foundations

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

Assumes

RCLikeNormedAddCommGroupInnerProductSpaceFintype