For All

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

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.

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