Theorem pm2.24d

Description: Deduction form of pm2.24 . (Contributed by NM, 30-Jan-2006)

	Ref	Expression
Hypothesis	pm2.24d.1	⊢ ( 𝜑 → 𝜓 )
Assertion	pm2.24d	⊢ ( 𝜑 → ( ¬ 𝜓 → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		pm2.24d.1	⊢ ( 𝜑 → 𝜓 )
2	1	a1d	⊢ ( 𝜑 → ( ¬ 𝜒 → 𝜓 ) )
3	2	con1d	⊢ ( 𝜑 → ( ¬ 𝜓 → 𝜒 ) )