Theorem impac

Description: Importation with conjunction in consequent. (Contributed by NM, 9-Aug-1994)

	Ref	Expression
Hypothesis	impac.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
Assertion	impac	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜒 ∧ 𝜓 ) )

Proof

Step	Hyp	Ref	Expression
1		impac.1	⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) )
2	1	ancrd	⊢ ( 𝜑 → ( 𝜓 → ( 𝜒 ∧ 𝜓 ) ) )
3	2	imp	⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜒 ∧ 𝜓 ) )