Theorem dmnrngo

Description: Obsolete theorem, use idomringd instead. A domain is a ring. (Contributed by Jeff Madsen, 6-Jan-2011) (Proof modification is discouraged.) (New usage is discouraged.)

	Ref	Expression
Assertion	dmnrngo	|- ( R e. Dmn -> R e. RingOps )

Proof

Step	Hyp	Ref	Expression
1		dmncrng	|- ( R e. Dmn -> R e. CRingOps )
2		crngorngo	|- ( R e. CRingOps -> R e. RingOps )
3	1 2	syl	|- ( R e. Dmn -> R e. RingOps )