Theorem expd

Description: Exportation deduction. (Contributed by NM, 20-Aug-1993) (Proof shortened by Wolf Lammen, 28-Jul-2022)

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

Proof

Step	Hyp	Ref	Expression
1		expd.1	$$⊢\phi \to \left(\left(\psi \wedge \chi \right)\to \theta \right)$$
2	1	expdcom	$$⊢\psi \to \left(\chi \to \left(\phi \to \theta \right)\right)$$
3	2	com3r	$$⊢\phi \to \left(\psi \to \left(\chi \to \theta \right)\right)$$