Description: An integral domain is a ring. (Contributed by Thierry Arnoux, 22-Mar-2025)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | idomringd.1 | |- ( ph -> R e. IDomn ) |
|
| Assertion | idomringd | |- ( ph -> R e. Ring ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | idomringd.1 | |- ( ph -> R e. IDomn ) |
|
| 2 | 1 | idomcringd | |- ( ph -> R e. CRing ) |
| 3 | 2 | crngringd | |- ( ph -> R e. Ring ) |