Clarke’s inverse function theorem for Lipschitz mappings states that a bi-Lipschitz mapping f is locally invertible about a point x0 if the generalized Jacobian ∂ f (x0) does not contain singular matrices. It is shown that under these assumptions the generalized Jacobian of the inverse mapping at f (x0) is the convex hull of the set of matrices that can be obtained as limits of sequences J f (xk )
−1 with f differentiable in xk and xk converging to x0. This identity holds as well if f is assumed to be locally bi-Lipschitz at x0.