Description: Definition of the set of extended complex numbers CCbar . (Contributed by BJ, 22-Jun-2019)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-bj-ccbar | ⊢ ℂ̅ = ( ℂ ∪ ℂ∞ ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | cccbar | ⊢ ℂ̅ | |
| 1 | cc | ⊢ ℂ | |
| 2 | cccinfty | ⊢ ℂ∞ | |
| 3 | 1 2 | cun | ⊢ ( ℂ ∪ ℂ∞ ) |
| 4 | 0 3 | wceq | ⊢ ℂ̅ = ( ℂ ∪ ℂ∞ ) |