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| Mirrors > Home > MPE Home > Th. List > Mathboxes > df-bj-pinfty | Structured version Visualization version GIF version | ||
| Description: Definition of "plus infinity". (Contributed by BJ, 27-Jun-2019.) |
| Ref | Expression |
|---|---|
| df-bj-pinfty | ⊢ +∞ = (+∞ei‘0) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cpinfty 37183 | . 2 class +∞ | |
| 2 | cc0 11127 | . . 3 class 0 | |
| 3 | cinftyexpi 37170 | . . 3 class +∞ei | |
| 4 | 2, 3 | cfv 6530 | . 2 class (+∞ei‘0) |
| 5 | 1, 4 | wceq 1540 | 1 wff +∞ = (+∞ei‘0) |
| Colors of variables: wff setvar class |
| This definition is referenced by: bj-pinftyccb 37185 bj-pinftynrr 37186 bj-pinftynminfty 37191 |
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