\preceqThe symbol \preceq is used to denote a binary relation that is a preorder or partial order. It is often used in mathematics to indicate that one element is less than or equal to another in a given set, according to some ordering relation.
Element a is less than or equal to element b in a preorder or partial order.
a \preceq bChain of relations indicating x is less than or equal to y, and y is less than or equal to z.
x \preceq y \preceq zSubset A is less than or equal to subset B in the lattice L, according to the lattice order.
A \preceq B \text{ in the lattice } L