Theorems · Theorem · functional analysis

Orthonormal.equiv_refl

∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : SeminormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
  {ι : Type u_4} {v : Module.Basis ι 𝕜 E} (hv : Orthonormal 𝕜 ⇑v),
  hv.equiv hv (Equiv.refl ι) = LinearIsometryEquiv.refl 𝕜 E

Defined in

Mathlib.Analysis.InnerProductSpace.Orthonormal

Cited by

0 results in Mathlib

Foundations

Depth 176 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RCLikeSeminormedAddCommGroupInnerProductSpace