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 ) |