Theorem impac

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

	Ref	Expression
Hypothesis	impac.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
Assertion	impac	$$⊢\left(\phi \wedge \psi \right)\to \left(\chi \wedge \psi \right)$$

Proof

Step	Hyp	Ref	Expression
1		impac.1	$$⊢\phi \to \left(\psi \to \chi \right)$$
2	1	ancrd	$$⊢\phi \to \left(\psi \to \left(\chi \wedge \psi \right)\right)$$
3	2	imp	$$⊢\left(\phi \wedge \psi \right)\to \left(\chi \wedge \psi \right)$$