Definition:Bounded Lattice/Definition 1

From ProofWiki
Jump to navigation Jump to search


Let $\struct {S, \preceq}$ be an ordered set.

Let $S$ admit all finite suprema and finite infima.

Let $\vee$ and $\wedge$ be the join and meet operations on $S$, respectively.

Then the ordered structure $\struct {S, \vee, \wedge, \preceq}$ is a bounded lattice.

Also see

  • Results about bounded lattices can be found here.