Theorem expimpd

Description: Exportation followed by a deduction version of importation. (Contributed by NM, 6-Sep-2008)

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

Proof

Step	Hyp	Ref	Expression
1		expimpd.1	$$⊢\left(\phi \wedge \psi \right)\to \left(\chi \to \theta \right)$$
2	1	ex	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$
3	2	impd	$$⊢\phi \to \left(\left(\psi \wedge \chi \right)\to \theta \right)$$