Theorem impr

Description: Import a wff into a right conjunct. (Contributed by Jeff Hankins, 30-Aug-2009)

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

Proof

Step	Hyp	Ref	Expression
1		impr.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	imp32	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$