Description: Definition of the extended integers. (Contributed by BJ, 28-Jul-2023)
Ref | Expression | ||
---|---|---|---|
Assertion | df-bj-zzbar | |- ZZbar = ( ZZ u. { minfty , pinfty } ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | czzbar | |- ZZbar |
|
1 | cz | |- ZZ |
|
2 | cminfty | |- minfty |
|
3 | cpinfty | |- pinfty |
|
4 | 2 3 | cpr | |- { minfty , pinfty } |
5 | 1 4 | cun | |- ( ZZ u. { minfty , pinfty } ) |
6 | 0 5 | wceq | |- ZZbar = ( ZZ u. { minfty , pinfty } ) |