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Metamath Proof Explorer

Definition df-dmn

Description: Define the class of (integral) domains. A domain is a commutative prime ring. (Contributed by Jeff Madsen, 10-Jun-2010)

		Ref	Expression
	Assertion	df-dmn	$⊢ Dmn = PrRing \cap Com2$

Step	Hyp	Ref	Expression
0		cdmn	$class Dmn$
1		cprrng	$class PrRing$
2		ccm2	$class Com2$
3	1 2	cin	$class (PrRing \cap Com2)$
4	0 3	wceq	$wff Dmn = PrRing \cap Com2$