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Symbols · Sets and logic

∀ For all

Say it: “for all”, “for every”

What it means

An upside-down A, the universal quantifier: what follows holds for every value in the stated range.

Read aloud in real formulas

Analysis

∀x ∈ ℝ, x² ≥ 0

Aethel says

for all x in the real numbers, x squared is greater than or equal to 0

every real number has a non-negative square

Typing it

LaTeX
\forall
Unicode
U+2200

Questions

How do you say ∀ out loud?

It is usually read “for all”, and also “for every”.

What does ∀ mean in maths?

An upside-down A, the universal quantifier: what follows holds for every value in the stated range.

How do you type ∀?

In LaTeX, write \forall. Its Unicode code point is U+2200.

Related symbols

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