eolas/Logic/Proofs/Conditional_Elimination.md

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

# Conditional elimination

If we have a conditional and we have independently derived its antecedent, we may invoke its consequent. This is often referred to as _Modus ponens_ (affirming the antecedent).

![](/img/cond-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			`# Conditional elimination`

Reindexing 2022-09-06 13:26:44 +01:00			`If we have a conditional and we have independently derived its antecedent, we may invoke its consequent. This is often referred to as _Modus ponens_ (affirming the antecedent).`
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/cond-elim.png)`