  One of the goals of science is to understand the relation between a whole and
its parts, as exemplified by the problem of certifying the entanglement of a
system from the knowledge of its reduced states. Here, we focus on a different
but related question: can a collection of marginal information reveal new
marginal information? We answer this affirmatively and show that (non-)
entangled marginal states may exhibit (meta)transitivity of entanglement, i.e.,
implying that a different target marginal must be entangled. By showing that
the global $n$-qubit state compatible with certain two-qubit marginals in a
tree form is unique, we prove that transitivity exists for a system involving
an arbitrarily large number of qubits. We also completely characterize -- in
the sense of providing both the necessary and sufficient conditions -- when
(meta)transitivity can occur in a tripartite scenario when the two-qudit
marginals given are either the Werner states or the isotropic states. Our
numerical results suggest that in the tripartite scenario, entanglement
transitivity is generic among the marginals derived from pure states.
