Theorems · Theorem · functional analysis

Module.Basis.continuous_toMatrix

∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} [Finite ι] [inst : NontriviallyNormedField R] [CompleteSpace R]
  [inst_2 : AddCommGroup M] [inst_3 : TopologicalSpace M] [IsTopologicalAddGroup M] [T2Space M] [inst_6 : Module R M]
  [ContinuousSMul R M] (B : Module.Basis ι R M), Continuous fun v => B.toMatrix v

Defined in

Mathlib.Analysis.Normed.Module.FiniteDimension

Cited by

0 results in Mathlib

Foundations

Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

FiniteNontriviallyNormedFieldCompleteSpaceAddCommGroupTopologicalSpaceIsTopologicalAddGroupT2SpaceModuleContinuousSMul