Theorem 3expb

Description: Exportation from triple to double conjunction. (Contributed by NM, 20-Aug-1995)

	Ref	Expression
Hypothesis	3exp.1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$
Assertion	3expb	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$

Proof

Step	Hyp	Ref	Expression
1		3exp.1	$$⊢\left(\phi \wedge \psi \wedge \chi \right)\to \theta$$
2	1	3exp	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$
3	2	imp32	$$⊢\left(\phi \wedge \left(\psi \wedge \chi \right)\right)\to \theta$$