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'''Iff''' is an abbreviation for the phrase "if and only if." | '''Iff''' is an abbreviation for the phrase "if and only if." | ||
In order to prove a statement of the form, " | In order to prove a statement of the form, "<math>p</math> iff <math>q</math>," it is necessary to prove two distinct implications: | ||
If a statement is an "iff" statement, then it is a [[biconditional]] statement. | * <math>p</math> implies <math>q</math> ("if <math>p</math>, then <math>q</math>") | ||
* <math>q</math> implies <math>p</math> ("if <math>q</math>, then <math>p</math>") | |||
If a statement is an "iff" statement, then it is a [[conditional|biconditional]] statement. | |||
==See Also== | ==See Also== | ||
* [[Logic]] | |||
{{stub}} | |||
[[Category:Definition]] | [[Category:Definition]] | ||
Revision as of 14:40, 19 April 2008
Iff is an abbreviation for the phrase "if and only if."
In order to prove a statement of the form, "
iff
," it is necessary to prove two distinct implications:
implies
("if
, then
")
implies
("if
, then
")
If a statement is an "iff" statement, then it is a biconditional statement.
See Also
This article is a stub. Help us out by expanding it.