eolas/Logic/Proofs/Conditional_Introduction.md

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

# Conditional Introduction

If we can show that $Q$ follows from $P$ (typically via a sub-proof) than we can assert that P implies Q. This is also sometimes known as _Conditional Proof_

![](/img/cond-intro.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: 2022-12-27 09:00:06 2022-12-27 09:00:06 +00:00			`- Logic`
Autosave: 2022-12-25 15:00:05 2022-12-25 15:00:05 +00:00			`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 Introduction`
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			`If we can show that $Q$ follows from $P$ (typically via a sub-proof) than we can assert that P implies Q. This is also sometimes known as _Conditional Proof_`

			`![](/img/cond-intro.png)`