up:: Lattice Given a lattice , one can always create a Partial Ordering as It can be read as a subset ordering: if itself is its intersection with , and also if is itself the union with (which is already within it). Proof Given , prove that it is a partial ordering: Reflexive: Transitive: Antisymmetric: References Notas para um Curso de Física-Matemática, João Carlos Alves Barata. Cap. 02