---
tags:
  - logic
---

# Biconditional Elimination

Give that the biconditional means that if $P$ is the case, $Q$ must be the case
and if $Q$ is the case, $P$ must be the case, if we have $P \leftrightarrow Q$
and $P$, we can derive $Q$ and vice versa.

![](/static/biconditional-elim.png)