Definition df-dmn 38056

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 38054	. 2 class Dmn
2		cprrng 38053	. . 3 class PrRing
3		ccm2 37996	. . 3 class Com2
4	2, 3	cin 3950	. 2 class (PrRing ∩ Com2)
5	1, 4	wceq 1540	1 wff Dmn = (PrRing ∩ Com2)

This definition is referenced by:  isdmn  38061