Theorem exp44

Description: An exportation inference. (Contributed by NM, 26-Apr-1994)

	Ref	Expression
Hypothesis	exp44.1	$$⊢\left(\phi \wedge \left(\left(\psi \wedge \chi \right)\wedge \theta \right)\right)\to \tau$$
Assertion	exp44	$$⊢\phi \to \left(\psi \to \left(\chi \to \left(\theta \to \tau \right)\right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		exp44.1	$$⊢\left(\phi \wedge \left(\left(\psi \wedge \chi \right)\wedge \theta \right)\right)\to \tau$$
2	1	exp32	$$⊢\phi \to \left(\left(\psi \wedge \chi \right)\to \left(\theta \to \tau \right)\right)$$
3	2	expd	$$⊢\phi \to \left(\psi \to \left(\chi \to \left(\theta \to \tau \right)\right)\right)$$