---
title: "Arbitrary element choice mathematical notation"
description: "Arbitrary element choice is a recurring research-paper notation family. Selects an unspecified element of a set so a proof that uses no special property…"
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/choose-arbitrary"
md_url: "https://fanout.sh/labs/math-decoder/symbol/choose-arbitrary.md"
last_updated: "2026-08-09"
access: "public"
---

# Arbitrary element choice mathematical notation

Arbitrary element choice is a recurring research-paper notation family. Selects an unspecified element of a set so a proof that uses no special property…

## Public overview

Arbitrary element choice is a recurring research-paper notation family. Selects an unspecified element of a set so a proof that uses no special property can generalize to every element.

Arbitrary element choice: Selects an unspecified element of a set so a proof that uses no special property can generalize to every element. Example: Reason about a generic member without using a special choice.

---
This representation contains public Fanout content only. Protected Pro lessons, account data, billing, checkout, and pricing are not included.

Browse the public content map: https://fanout.sh/sitemap.md