theorem
Basis.toMatrix_continuous
{ι : Type u_1}
{R : Type u_2}
{M : Type u_3}
[AddCommGroup M]
[Fintype ι]
[TopologicalSpace M]
[NontriviallyNormedField R]
[Module R M]
[IsTopologicalAddGroup M]
[ContinuousSMul R M]
[CompleteSpace R]
[T2Space M]
[FiniteDimensional R M]
(B : Basis ι R M)
:
Continuous fun (v : ι → M) => B.toMatrix v