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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 1440 | . 2 wff 𝑥 ∈ 𝑦 |
4 | 3 | wbd 11976 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
Colors of variables: wff set class |
This axiom is referenced by: bdcv 12012 bdop 12039 bdcuni 12040 bdcint 12041 bdcriota 12047 bj-nalset 12059 bj-inex 12071 bj-axun2 12079 bj-nnelirr 12121 |
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