eolas/Logic/Biconditional_Introduction.md

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2022-04-23 13:26:53 +01:00
---
tags:
- Logic
- propositional-logic
- derivation-rules
---
The biconditional means if $P$ is the case, $Q$ is 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.
![bi-intro.png](../img/bi-intro.png)