eolas/neuron/14b2609c-4c92-4980-96d4-543ba5a9d0be/Negation_Elimination.md

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2024-12-09 18:34:15 +00:00
---
tags:
- logic
- propositional-logic
---
# Negation Elimination
Like the [introduction](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.
![](static/negate-elim.png)