eolas/Logic/Proofs/Biconditional_Elimination.md

---
categories:
  - Logic
tags: [derivation-rules]
---

# 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.

![](/_img/biconditional-elim.png)
Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`---`
Last Sync: 2022-08-20 12:30:04 2022-08-20 12:30:04 +01:00			`categories:`
Autosave: 2022-12-25 15:00:05 2022-12-25 15:00:05 +00:00			`- Logic`
			`tags: [derivation-rules]`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`---`

Autosave: 2022-12-25 15:00:05 2022-12-25 15:00:05 +00:00			`# Biconditional Elimination`
Initial commit, pure MD 2022-04-23 13:26:53 +01:00
Autosave: 2022-12-25 15:00:05 2022-12-25 15:00:05 +00:00			`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.`

Create script to rename image URLs and apply 2022-12-29 20:22:34 +00:00			`![](/_img/biconditional-elim.png)`