# Difference between revisions of "Iff"

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An iff statement <math>p\iff q</math> means <math>p\implies q</math> <b>and</b> <math>q\implies p</math> at the same time. | An iff statement <math>p\iff q</math> means <math>p\implies q</math> <b>and</b> <math>q\implies p</math> at the same time. | ||

− | == | + | ==Examples== |

+ | |||

In order to prove a statement of the form "<math>p</math> iff <math>q</math>," it is necessary to prove two distinct implications: | 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 <math>p</math> then <math>q</math> | * if <math>p</math> then <math>q</math> | ||

* if <math>q</math> then <math>p</math> | * if <math>q</math> then <math>p</math> | ||

+ | |||

+ | ===Results=== | ||

+ | [https://artofproblemsolving.com/wiki/index.php/Godel%27s_First_Incompleteness_Theoremm Gödel's Incompleteness Theorem] | ||

===Videos=== | ===Videos=== |

## Latest revision as of 17:21, 31 July 2020

**Iff** is an abbreviation for the phrase "if and only if."

In mathematical notation, "iff" is expressed as .

It is also known as a biconditional statement.

An iff statement means **and** at the same time.

## Contents

## Examples

In order to prove a statement of the form " iff ," it is necessary to prove two distinct implications:

- if then
- if then

### Results

Gödel's Incompleteness Theorem

### Videos

Mathematical Logic ("I am in process of making a smoother version of this" -themathematicianisin).

## See Also

*This article is a stub. Help us out by expanding it.*