Theorem pm2.86i

Description: Inference associated with pm2.86 . (Contributed by NM, 5-Aug-1993) (Proof shortened by Wolf Lammen, 3-Apr-2013)

	Ref	Expression
Hypothesis	pm2.86i.1	⊢ ( ( 𝜑 → 𝜓 ) → ( 𝜑 → 𝜒 ) )
Assertion	pm2.86i	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )

Proof

Step	Hyp	Ref	Expression
1		pm2.86i.1	⊢ ( ( 𝜑 → 𝜓 ) → ( 𝜑 → 𝜒 ) )
2	1	jarri	⊢ ( 𝜓 → ( 𝜑 → 𝜒 ) )
3	2	com12	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )