Definition df-dmn 36207

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

Assertion

Ref	Expression
df-dmn	⊢ Dmn = (PrRing ∩ Com2)

Detailed syntax breakdown of Definition df-dmn

Step	Hyp	Ref	Expression
1		cdmn 36205	. 2 class Dmn
2		cprrng 36204	. . 3 class PrRing
3		ccm2 36147	. . 3 class Com2
4	2, 3	cin 3886	. 2 class (PrRing ∩ Com2)
5	1, 4	wceq 1539	1 wff Dmn = (PrRing ∩ Com2)

This definition is referenced by:  isdmn  36212