---
title: "For all mathematical notation"
description: "For all is a recurring research-paper notation family. Says that the following proposition must hold for every object in the stated domain."
canonical_url: "https://fanout.sh/labs/math-decoder/symbol/for-all"
md_url: "https://fanout.sh/labs/math-decoder/symbol/for-all.md"
last_updated: "2026-08-09"
access: "public"
---

# For all mathematical notation

For all is a recurring research-paper notation family. Says that the following proposition must hold for every object in the stated domain.

## Public overview

For all: Says that the following proposition must hold for every object in the stated domain. Example: No real input makes its square negative.

---
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