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Element

Usage

Element[x, dom] or  asserts that x is an element of the domain dom.
Element[{ ,  , ... }, dom] asserts that all the  are elements of dom.
Element[patt, dom] asserts that any expression matching the pattern patt is an element of dom.


Notes

 can be entered as x AliasIndicatorelAliasIndicator dom or x \[Element] dom.
Element can be used to set up assumptions in Simplify and related functions.
• Possible domains are:
Algebraics algebraic numbers
Booleans True or False
Complexes complex numbers
Integers integers
Primes prime numbers
Rationals rational numbers
Reals real numbers
 if possible evaluates immediately when x is numeric.
• Examples: Pi  AlgebraicsLongRightArrow ; Pi  RealsLongRightArrow .
( |  | ... )  dom is equivalent to { ,  , ... }  dom.
{ ,  , ... }  dom evaluates to ( |  | ... )  dom if its truth or falsity cannot immediately be determined.
• New in Version 4; modified in 5.


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