Description: The scalar field is a subring of a division ring extension. (Contributed by Thierry Arnoux, 17-Jul-2023)
Ref | Expression | ||
---|---|---|---|
Hypotheses | drgext.b | |
|
drgext.1 | |
||
drgext.2 | |
||
drgext.f | |
||
drgext.3 | |
||
Assertion | drgextsubrg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | drgext.b | |
|
2 | drgext.1 | |
|
3 | drgext.2 | |
|
4 | drgext.f | |
|
5 | drgext.3 | |
|
6 | 1 | a1i | |
7 | eqid | |
|
8 | 7 | subrgss | |
9 | 3 8 | syl | |
10 | 6 3 9 | srasubrg | |