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| Mirrors > Home > MPE Home > Th. List > df-idom | Structured version Visualization version GIF version | ||
| Description: An integral domain is a commutative domain. (Contributed by Mario Carneiro, 17-Jun-2015.) |
| Ref | Expression |
|---|---|
| df-idom | ⊢ IDomn = (CRing ∩ Domn) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cidom 20613 | . 2 class IDomn | |
| 2 | ccrg 20154 | . . 3 class CRing | |
| 3 | cdomn 20612 | . . 3 class Domn | |
| 4 | 2, 3 | cin 3910 | . 2 class (CRing ∩ Domn) |
| 5 | 1, 4 | wceq 1540 | 1 wff IDomn = (CRing ∩ Domn) |
| Colors of variables: wff setvar class |
| This definition is referenced by: isidom 20645 idomdomd 20646 idomcringd 20647 idomrcanOLD 33248 unitpidl1 33388 prmidl0 33414 mxidlirredi 33435 |
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