Logical conjunction

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

The truth table of $p ~\operatorname{AND}~ q,$ also written $p \land q\!$ or $p \cdot q,\!$ appears below:

$\text{Logical Conjunction}\!$
$p\!$	$q\!$	$p \land q$
$\operatorname{F}$	$\operatorname{F}$	$\operatorname{F}$
$\operatorname{F}$	$\operatorname{T}$	$\operatorname{F}$
$\operatorname{T}$	$\operatorname{F}$	$\operatorname{F}$
$\operatorname{T}$	$\operatorname{T}$	$\operatorname{T}$

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