Documentation
Atlas
.
AlgebraNotes
.
code
.
InnerProductSpaces
Search
return to top
source
Imports
Init
Mathlib.Analysis.InnerProductSpace.Basic
Mathlib.Analysis.InnerProductSpace.GramSchmidtOrtho
Mathlib.Analysis.InnerProductSpace.PiL2
Imported by
InnerProductSpaces
.
exists_orthonormal_basis
source
theorem
InnerProductSpaces
.
exists_orthonormal_basis
{
𝕜
:
Type
u_1}
[
RCLike
𝕜
]
{
V
:
Type
u_2}
[
NormedAddCommGroup
V
]
[
InnerProductSpace
𝕜
V
]
[
FiniteDimensional
𝕜
V
]
:
Nonempty
(
OrthonormalBasis
(
Fin
(
Module.finrank
𝕜
V
)
)
𝕜
V
)