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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 2201 | . 2 wff 𝑥 ∈ 𝑦 |
| 4 | 3 | wbd 16105 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
| Colors of variables: wff set class |
| This axiom is referenced by: bdcv 16141 bdop 16168 bdcuni 16169 bdcint 16170 bdcriota 16176 bj-nalset 16188 bj-inex 16200 bj-axun2 16208 bj-nnelirr 16246 |
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