For All

If a proposition is true for all , this is written . is one of the two so-called quantifiers, and translates the universal quantifier .

The Wolfram Language expression ForAll[x, expr] can be used to represent the statement that expr is true for all values of x.

See also

Almost All, Exists, For Some, Implies, Quantifier, Universal Quantifier, Universal Sentence

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Cite this as:

Weisstein, Eric W. "For All." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ForAll.html

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