  We give an equivalent definition of the Fredholm property for linear
operators on scale Banach spaces and introduce a (nonlinear) scale Fredholm
property with respect to a splitting of the domain. The latter implies the
Fredholm property introduced by Hofer-Wysocki-Zehnder in terms of contraction
germs, but is easier to check in practice and holds in applications to
holomorphic curve moduli spaces. We demonstrate this at the example of
trajectory breaking in Hamiltonian Floer theory.
