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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-zzhat | Structured version Visualization version GIF version | ||
| Description: Definition of the one-point-compactified. (Contributed by BJ, 28-Jul-2023.) |
| Ref | Expression |
|---|---|
| df-bj-zzhat | ⊢ ℤ̂ = (ℤ ∪ {∞}) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | czzhat 37243 | . 2 class ℤ̂ | |
| 2 | cz 12609 | . . 3 class ℤ | |
| 3 | cinfty 37209 | . . . 4 class ∞ | |
| 4 | 3 | csn 4624 | . . 3 class {∞} |
| 5 | 2, 4 | cun 3948 | . 2 class (ℤ ∪ {∞}) |
| 6 | 1, 5 | wceq 1540 | 1 wff ℤ̂ = (ℤ ∪ {∞}) |
| Colors of variables: wff setvar class |
| This definition is referenced by: (None) |
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