This is documentation for Mathematica 6, which was
based on an earlier version of the Wolfram Language.

# Exists ()

 Exists[x, expr]represents the statement that there exists a value of for which expr is True. Exists[x, cond, expr]states that there exists an satisfying the condition cond for which expr is True. Exists[{x1, x2, ...}, expr]states that there exist values for all the for which expr is True.
• Exists[x, expr] can be entered as . The character can be entered as Esc ex Esc or \[Exists]. The variable is given as a subscript.
• Exists[x, cond, expr] can be entered as .
• Exists[x, cond, expr] is output as .
• The condition cond is often used to specify the domain of a variable, as in .
• Exists[x, cond, expr] is equivalent to Exists[x, cond&&expr].
• Exists[{x1, x2, ...}, ...] is equivalent to .
• The value of in Exists[x, expr] is taken to be localized, as in Block.
This states that there exists a positive solution to the equation :
 Out[1]=
Use Resolve to get a condition on real parameters for which the statement is true:
 Out[2]=
Reduce gives the condition in a solved form:
 Out[3]=
 Scope   (6)
 Applications   (4)
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