Metamath Proof Explorer
Description: An integral domain is a domain. (Contributed by Thierry Arnoux, 22-Mar-2025)
|
|
Ref |
Expression |
|
Hypothesis |
idomringd.1 |
|
|
Assertion |
idomdomd |
|
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
idomringd.1 |
|
2 |
|
df-idom |
|
3 |
1 2
|
eleqtrdi |
|
4 |
3
|
elin2d |
|