eolas/Logic/Proofs/Negation_Elimination.md

9 lines
526 B
Markdown
Raw Normal View History

2022-04-23 13:26:53 +01:00
---
2022-08-20 13:00:04 +01:00
categories:
2022-09-06 13:26:44 +01:00
- Mathematics
tags: [logic]
2022-04-23 13:26:53 +01:00
---
2022-09-06 13:26:44 +01:00
![negate-elim 1.png](../img/negate-elim%201.png)
Like the [introduction](Negation%20Elimination.md) rule for negation, the elimination rule also works by deriving a contradiction. It is basically _Negation Introduction_ in reverse. Instead of starting the subproof 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.