{
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  "body": "\n## Summary\n\n**Material nonimplication** or **abjunction** (la) is a term referring to a logic operation used in generic circuits and Boolean algebra. It is the [[negation|029JBBF693]] of [[material implication|0NMG7W7Q11]]. That is to say that for any two [[propositions|0ZGC7ZESYN]] $P$ and $Q$, the material nonimplication from $P$ to $Q$ is true if and only if the negation of the material implication from $P$ to $Q$ is true. This is more naturally stated as that the material nonimplication from $P$ to $Q$ is true only if $P$ is true and $Q$ is false.\n",
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