Theorem 3impib

Description: Importation to triple conjunction. (Contributed by NM, 13-Jun-2006)

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

Proof

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