Definition:Lattice Filter

Definition
Let $\struct {S, \vee, \wedge, \preccurlyeq}$ be a lattice.

Let $F \subseteq S$ be a non-empty subset of $S$.

Also see

 * User:Leigh.Samphier/OrderTheory/Equivalence of Definitions of Lattice Filter


 * User:Leigh.Samphier/OrderTheory/Definition:Filter (Order Theory)


 * User:Leigh.Samphier/OrderTheory/Definition:Filter (Meet Semilattice)