# Logical equality

Logical equality is an operation on two logical values, typically the values of two propositions, that produces a value of true if and only if both operands are false or both operands are true.

The truth table of $$p ~\operatorname{EQ}~ q,$$ also written as $$p = q,\!$$ $$p \Leftrightarrow q,\!$$ or $$p \equiv q,\!$$ is as follows:

 $$p\!$$ $$q\!$$ $$p = q\!$$ $$\operatorname{F}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{F}$$ $$\operatorname{F}$$ $$\operatorname{T}$$ $$\operatorname{T}$$ $$\operatorname{T}$$

## Syllabus

### Focal nodes

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### Peer nodes

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### Logical operators

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### Related topics

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### Relational concepts

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### Information, Inquiry

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## Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.

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