Metamath Proof Explorer


Definition df-dmn

Description: Obsolete definition, use df-idom resp. dfidom2 instead. Define the class of (integral) domains. A domain is a commutative prime ring. (Contributed by Jeff Madsen, 10-Jun-2010) (New usage is discouraged.)

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

Detailed syntax breakdown

Step Hyp Ref Expression
0 cdmn ⊢ Dmn
1 cprrng ⊢ PrRing
2 ccm2 ⊢ Com2
3 1 2 cin ⊢ ( PrRing ∩ Com2 )
4 0 3 wceq ⊢ Dmn = ( PrRing ∩ Com2 )