Smooth affine maps #
This file contains results about smoothness of affine maps.
Main definitions: #
ContinuousAffineMap.contDiff: a continuous affine map is smooth
theorem
ContinuousAffineMap.contDiff
{𝕜 : Type u_1}
{V : Type u_2}
{W : Type u_3}
[NontriviallyNormedField 𝕜]
[NormedAddCommGroup V]
[NormedSpace 𝕜 V]
[NormedAddCommGroup W]
[NormedSpace 𝕜 W]
{n : ℕ∞}
(f : V →A[𝕜] W)
:
ContDiff 𝕜 n ⇑f
A continuous affine map between normed vector spaces is smooth.