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| Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdeq | GIF version | ||
| Description: An atomic formula is bounded (equality predicate). (Contributed by BJ, 3-Oct-2019.) |
| Ref | Expression |
|---|---|
| ax-bdeq | ⊢ BOUNDED 𝑥 = 𝑦 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | vx | . . 3 setvar 𝑥 | |
| 2 | vy | . . 3 setvar 𝑦 | |
| 3 | 1, 2 | weq 1517 | . 2 wff 𝑥 = 𝑦 |
| 4 | 3 | wbd 15542 | 1 wff BOUNDED 𝑥 = 𝑦 |
| Colors of variables: wff set class |
| This axiom is referenced by: bdth 15561 bdcdeq 15569 bdne 15583 bdreu 15585 bdcsn 15600 bj-zfpair2 15640 |
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