eolas/neuron/7aecb0c4-f9f9-4579-9564-8a4cb5e9c958/Negation_Introduction.md
2025-03-14 17:01:58 +00:00

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---
tags:
- logic
- propositional-logic
---
# Negation Introduction
This is also known as _proof by contradiction_. You start with an assumption
declared in a sub-proof. If you can derive a contradiction from this assumption
(typically from the introduction of another proposition and its negation), then
you are permitted to derive the negation of the auxiliary assumption in the main
proof.
![](static/negate-intro.png)