Theorems · Theorem · functional analysis

ContinuousLinearMap.det_smulRight

∀ {𝕜 : Type u_1} [inst : CommRing 𝕜] [inst_1 : TopologicalSpace 𝕜] [inst_2 : ContinuousMul 𝕜] (f : 𝕜 →L[𝕜] 𝕜) (v : 𝕜),
  (f.smulRight v).det = f 1 * v

Defined in

Mathlib.Topology.Algebra.Module.Determinant

Cited by

1 results in Mathlib

Foundations

Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingTopologicalSpaceContinuousMul