dense_differentiableAt_norm

∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [FiniteDimensional ℝ E],
  Dense {x | DifferentiableAt ℝ (fun x => ‖x‖) x}

In a real finite-dimensional normed vector space, the set of points where the norm is differentiable at is dense.

Defined in: Mathlib.Analysis.Calculus.Rademacher
Cited by: 0 results in Mathlib
Foundations: Depth 312 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: NormedAddCommGroup NormedSpace FiniteDimensional

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.

Nothing cites this yet.