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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 1434 | . 2 wff 𝑥 ∈ 𝑦 |
| 4 | 3 | wbd 10603 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
| Colors of variables: wff set class |
| This axiom is referenced by: bdcv 10639 bdop 10666 bdcuni 10667 bdcint 10668 bdcriota 10674 bj-nalset 10686 bj-inex 10698 bj-axun2 10706 bj-nnelirr 10748 |
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