  It is known that a (concept) lattice contains an n-dimensional Boolean
suborder if and only if the context contains an n-dimensional contra-nominal
scale as subcontext. In this work, we investigate more closely the interplay
between the Boolean subcontexts of a given finite context and the Boolean
suborders of its concept lattice. To this end, we define mappings from the set
of subcontexts of a context to the set of suborders of its concept lattice and
vice versa and study their structural properties. In addition, we introduce
closed-subcontexts as an extension of closed relations to investigate the set
of all sublattices of a given lattice.
