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Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdel | GIF version |
Description: An atomic formula is bounded (membership predicate). (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
ax-bdel | ⊢ BOUNDED 𝑥 ∈ 𝑦 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vx | . . 3 setvar 𝑥 | |
2 | vy | . . 3 setvar 𝑦 | |
3 | 1, 2 | wel 2165 | . 2 wff 𝑥 ∈ 𝑦 |
4 | 3 | wbd 15374 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
Colors of variables: wff set class |
This axiom is referenced by: bdcv 15410 bdop 15437 bdcuni 15438 bdcint 15439 bdcriota 15445 bj-nalset 15457 bj-inex 15469 bj-axun2 15477 bj-nnelirr 15515 |
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