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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 15458 | 1 wff BOUNDED 𝑥 = 𝑦 | 
| Colors of variables: wff set class | 
| This axiom is referenced by: bdth 15477 bdcdeq 15485 bdne 15499 bdreu 15501 bdcsn 15516 bj-zfpair2 15556 | 
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