MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-idom Structured version   Visualization version   GIF version

Definition df-idom 20718
Description: An integral domain is a commutative domain. (Contributed by Mario Carneiro, 17-Jun-2015.)
Assertion
Ref Expression
df-idom IDomn = (CRing ∩ Domn)

Detailed syntax breakdown of Definition df-idom
StepHypRef Expression
1 cidom 20715 . 2 class IDomn
2 ccrg 20261 . . 3 class CRing
3 cdomn 20714 . . 3 class Domn
42, 3cin 3975 . 2 class (CRing ∩ Domn)
51, 4wceq 1537 1 wff IDomn = (CRing ∩ Domn)
Colors of variables: wff setvar class
This definition is referenced by:  isidom  20747  idomdomd  20748  idomcringd  20749  idomrcanOLD  33251  unitpidl1  33417  prmidl0  33443  mxidlirredi  33464
  Copyright terms: Public domain W3C validator