Theorem exp31

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

	Ref	Expression
Hypothesis	exp31.1	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \theta$$
Assertion	exp31	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$

Proof

Step	Hyp	Ref	Expression
1		exp31.1	$$⊢\left(\left(\phi \wedge \psi \right)\wedge \chi \right)\to \theta$$
2	1	ex	$$⊢\left(\phi \wedge \psi \right)\to \left(\chi \to \theta \right)$$
3	2	ex	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$