Resolve
Usage
• Resolve[expr] attempts to resolve expr into a form that eliminates ForAll and Exists quantifiers. • Resolve[expr, dom] works over the domain dom. Common choices of dom are Complexes, Reals and Booleans.
Notes
• Resolve is in effect automatically applied by Reduce. • expr can contain equations, inequalities, domain specifications and quantifiers, in the same form as in Reduce. • The result of Resolve[expr] always describes exactly the same mathematical set as expr, but without quantifiers. • Resolve[expr] assumes by default that quantities appearing algebraically in inequalities are real, while all other quantities are complex. • When a quantifier such as ForAll[x, ... ] is eliminated the result will contain no mention of the localized variable x. • Resolve[expr] can in principle always eliminate quantifiers if expr contains only polynomial equations and inequalities over the reals or complexes. • New in Version 5.
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