This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: Anintegral domain is a commutative domain. (Contributed by Mario
Carneiro, 17-Jun-2015)
|
|
Ref |
Expression |
|
Assertion |
df-idom |
⊢ IDomn = ( CRing ∩ Domn ) |
Detailed syntax breakdown
| Step |
Hyp |
Ref |
Expression |
| 0 |
|
cidom |
⊢ IDomn |
| 1 |
|
ccrg |
⊢ CRing |
| 2 |
|
cdomn |
⊢ Domn |
| 3 |
1 2
|
cin |
⊢ ( CRing ∩ Domn ) |
| 4 |
0 3
|
wceq |
⊢ IDomn = ( CRing ∩ Domn ) |