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Definition df-dmn 34173
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
StepHypRef Expression
1 cdmn 34171 . 2 class Dmn
2 cprrng 34170 . . 3 class PrRing
3 ccm2 34113 . . 3 class Com2
42, 3cin 3720 . 2 class (PrRing ∩ Com2)
51, 4wceq 1630 1 wff Dmn = (PrRing ∩ Com2)
Colors of variables: wff setvar class
This definition is referenced by:  isdmn  34178
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