Theorem expdcom

Description: Commuted form of expd . (Contributed by Alan Sare, 18-Mar-2012) Shorten expd . (Revised by Wolf Lammen, 28-Jul-2022)

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

Proof

Step	Hyp	Ref	Expression
1		expd.1	$$⊢\phi \to \left(\left(\psi \wedge \chi \right)\to \theta \right)$$
2	1	com12	$$⊢\left(\psi \wedge \chi \right)\to \left(\phi \to \theta \right)$$
3	2	ex	$$⊢\psi \to \left(\chi \to \left(\phi \to \theta \right)\right)$$