Theorem ancomd

Description: Commutation of conjuncts in consequent. (Contributed by Jeff Hankins, 14-Aug-2009)

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

Proof

Step	Hyp	Ref	Expression
1		ancomd.1	$$⊢\phi \to \left(\psi \wedge \chi \right)$$
2		ancom	$$⊢\left(\psi \wedge \chi \right)\leftrightarrow \left(\chi \wedge \psi \right)$$
3	1 2	sylib	$$⊢\phi \to \left(\chi \wedge \psi \right)$$