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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 2210 | . 2 wff 𝑥 ∈ 𝑦 |
| 4 | 3 | wbd 17009 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
| Colors of variables: wff set class |
| This axiom is used by: bdcv 17045 bdop 17072 bdcuni 17073 bdcint 17074 bdcriota 17080 bj-nalset 17092 bj-inex 17104 bj-axun2 17112 bj-nnelirr 17150 |
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