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