Description: The rational numbers form a division subring of the complex numbers. (Contributed by Mario Carneiro, 4-Dec-2014)
Ref | Expression | ||
---|---|---|---|
Assertion | qsubdrg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | qcn | |
|
2 | qaddcl | |
|
3 | qnegcl | |
|
4 | zssq | |
|
5 | 1z | |
|
6 | 4 5 | sselii | |
7 | qmulcl | |
|
8 | qreccl | |
|
9 | 1 2 3 6 7 8 | cnsubdrglem | |