Theorem orcomd

Description: Commutation of disjuncts in consequent. (Contributed by NM, 2-Dec-2010)

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

Proof

Step	Hyp	Ref	Expression
1		orcomd.1	$$⊢\phi \to \left(\psi \vee \chi \right)$$
2		orcom	$$⊢\left(\psi \vee \chi \right)\leftrightarrow \left(\chi \vee \psi \right)$$
3	1 2	sylib	$$⊢\phi \to \left(\chi \vee \psi \right)$$