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

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---
categories:
- Logic
tags: []
---
# Biconditional introduction
The biconditional means if $P$ is the case, $Q$ must be the case and if $Q$ is the case, $P$ must be the case. Thus to introduce this operator we must demonstrate both that $Q$ follows from $P$ and that $P$ follows from $Q$. We do this via two sub-proofs.
![](/_img/bi-intro.png)