eolas/Logic/Proofs/Negation_Elimination.md
2022-12-25 16:00:05 +00:00

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---
categories:
- Logic
tags: [derivation-rules]
---
# 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)