Theorem pm2.24ii

Description: A contradiction implies anything. Inference associated with pm2.21i and pm2.24i . (Contributed by NM, 27-Feb-2008)

	Ref	Expression
Hypotheses	pm2.24ii.1	⊢ 𝜑
	pm2.24ii.2	⊢ ¬ 𝜑
Assertion	pm2.24ii	⊢ 𝜓

Proof

Step	Hyp	Ref	Expression
1		pm2.24ii.1	⊢ 𝜑
2		pm2.24ii.2	⊢ ¬ 𝜑
3	2	pm2.21i	⊢ ( 𝜑 → 𝜓 )
4	1 3	ax-mp	⊢ 𝜓