eolas/Logic/Proofs/Negation_Elimination.md
2023-02-10 18:22:04 +00:00

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categories:
- Logic
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# Negation Elimination
Like the [introduction](/Logic/Proofs/Negation_Introduction.md) rule for negation, the elimination rule also works by deriving a contradiction. It is basically _Negation Introduction_ in reverse. Instead of starting the sub-proof with a true proposition from which you derive a contradiction, you start with the negation of a proposition, derive a contradiction and then assert the positive of the negated proposition you started out with.
![](/_img/negate-elim.png)