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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 1460 | . 2 wff 𝑥 = 𝑦 |
4 | 3 | wbd 12689 | 1 wff BOUNDED 𝑥 = 𝑦 |
Colors of variables: wff set class |
This axiom is referenced by: bdth 12708 bdcdeq 12716 bdne 12730 bdreu 12732 bdcsn 12747 bj-zfpair2 12787 |
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