# Category:Bounded Lattices

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This category contains results about Bounded Lattices.

Definitions specific to this category can be found in Definitions/Bounded Lattices.

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**.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### B

- Boolean Lattices (4 P)

## Pages in category "Bounded Lattices"

The following 11 pages are in this category, out of 11 total.

### C

- Complement in Distributive Lattice is Unique
- Complement of Bottom
- Complement of Bottom (Bounded Lattice)
- Complement of Bottom/Bounded Lattice
- Complement of Complement in Uniquely Complemented Lattice
- Complement of Top
- Complement of Top (Bounded Lattice)
- Complement of Top/Bounded Lattice
- Complete Lattice is Bounded