---
tag: 0S60DVMVPN
kind: concept
name: Upper bound
aliases: [lower-bound, bounded-above]
msc: [06A06]
sources:
  - url: https://en.wikipedia.org/wiki/Upper_and_lower_bounds
    locator: lead section
same_as:
  wikidata: Q13222579
  wikipedia: Upper and lower bounds
---

## Summary

Let $S$ be a subset of a partially ordered set.
An upper bound of $S$ is an element that is at least as large as each element of $S$.