Universal quantifier

A logical operator which serves to form propositions using the expression "for all x" . In formal languages the universal quantifier is most often denoted by $\forall x$, $(\forall x)$, or $(x)$. Also used are the notations $(\mathbf{A} x)$, $\cap_x$, $\wedge_x$, $\Pi_x$.

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See also Quantifier.