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Metamath Proof Explorer

Theorem pm2.01i

Description: Inference associated with the weak Clavius law pm2.01 . (Contributed by BJ, 30-Mar-2020)

		Ref	Expression
	Hypothesis	pm2.01i.1	$⊢ φ \to \neg φ$
	Assertion	pm2.01i	$⊢ \neg φ$

Step	Hyp	Ref	Expression
1		pm2.01i.1	$⊢ φ \to \neg φ$
2		pm2.01	$⊢ (φ \to \neg φ) \to \neg φ$
3	1 2	ax-mp	$⊢ \neg φ$