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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-ccbar | Structured version Visualization version GIF version | ||
| Description: Definition of the set of extended complex numbers ℂ̅. (Contributed by BJ, 22-Jun-2019.) |
| Ref | Expression |
|---|---|
| df-bj-ccbar | ⊢ ℂ̅ = (ℂ ∪ ℂ∞) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cccbar 37194 | . 2 class ℂ̅ | |
| 2 | cc 11149 | . . 3 class ℂ | |
| 3 | cccinfty 37190 | . . 3 class ℂ∞ | |
| 4 | 2, 3 | cun 3948 | . 2 class (ℂ ∪ ℂ∞) |
| 5 | 1, 4 | wceq 1540 | 1 wff ℂ̅ = (ℂ ∪ ℂ∞) |
| Colors of variables: wff setvar class |
| This definition is referenced by: bj-ccssccbar 37196 bj-ccinftyssccbar 37197 |
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