  We define isoclinism of skew braces and present several applications. We
study some properties of skew braces that are invariant under isoclinism. For
example, we prove that right nilpotency is an isoclinism invariant. This result
has application in the theory of set-theoretic solutions to the Yang-Baxter
equation. We define isoclinic solutions and study multipermutation solutions
under isoclinism.
