Theorem expr

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

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

Proof

Step	Hyp	Ref	Expression
1		expr.1	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$
2	1	exp32	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$
3	2	imp	$$⊢\left(\phi \wedge \psi \right)\to \left(\chi \to \theta \right)$$