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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 20767 | . 2 class IDomn | |
2 | ccrg 19970 | . . 3 class CRing | |
3 | cdomn 20766 | . . 3 class Domn | |
4 | 2, 3 | cin 3910 | . 2 class (CRing ∩ Domn) |
5 | 1, 4 | wceq 1542 | 1 wff IDomn = (CRing ∩ Domn) |
Colors of variables: wff setvar class |
This definition is referenced by: isidom 20790 prmidl0 32271 |
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