Theorem ancomsd

Description: Deduction commuting conjunction in antecedent. (Contributed by NM, 12-Dec-2004)

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

Proof

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