An element of a lattice.
A lattice with zero and one (sometimes called a bounded lattice).
The Boolean distributive lattice.
A chain (a.k.a. linearly ordered) distributive lattice.
A flat lattice: all elements are incomparable except for zero and one.
The distributive lattice of antichains of intervals of a linear finite order.
A class representing elements of this lattice (antichains of intervals).
An extension of
The opposite (a.k.a.
The distributive lattice of subsets of an initial segment of the natural numbers.
The (categorical) product of lattices.
The (categorical) sum (a.k.a. free direct product) of distributive lattices.
The trivial distributive lattice of just one element.
An exception suggesting that an operation was being performed upon elements that did not match the lattice performing the operation.
An exception suggesting that a lattice does not contain an element with a certain name.