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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 35435 | . 2 class ℤ̂ | |
2 | cz 12319 | . . 3 class ℤ | |
3 | cinfty 35401 | . . . 4 class ∞ | |
4 | 3 | csn 4561 | . . 3 class {∞} |
5 | 2, 4 | cun 3885 | . 2 class (ℤ ∪ {∞}) |
6 | 1, 5 | wceq 1539 | 1 wff ℤ̂ = (ℤ ∪ {∞}) |
Colors of variables: wff setvar class |
This definition is referenced by: (None) |
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