eolas/Logic/Proofs/Conjunction_Elimination.md

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

# Conditional Elimination

If a conjunction exists, it means that both conjuncts are the case; therefore we can legitimately extract either one of them. Also known as _Simplification_.

![](/img/conjunc-elim.png)
Initial commit, pure MD 2022-04-23 13:26:53 +01:00			`---`
Last Sync: 2022-08-20 13:00:04 2022-08-20 13:00:04 +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			`# Conditional Elimination`

Reindexing 2022-09-06 13:26:44 +01:00			`If a conjunction exists, it means that both conjuncts are the case; therefore we can legitimately extract either one of them. Also known as _Simplification_.`
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			`![](/img/conjunc-elim.png)`