Theorem impl

Description: Export a wff from a left conjunct. (Contributed by Mario Carneiro, 9-Jul-2014)

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

Proof

Step	Hyp	Ref	Expression
1		impl.1	$$⊢\phi \to \left(\left(\psi \wedge \chi \right)\to \theta \right)$$
2	1	expd	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$
3	2	imp31	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \theta$$