| Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
| 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 2206 | . 2 wff 𝑥 ∈ 𝑦 |
| 4 | 3 | wbd 16694 | 1 wff BOUNDED 𝑥 ∈ 𝑦 |
| Colors of variables: wff set class |
| This axiom is referenced by: bdcv 16730 bdop 16757 bdcuni 16758 bdcint 16759 bdcriota 16765 bj-nalset 16777 bj-inex 16789 bj-axun2 16797 bj-nnelirr 16835 |
| Copyright terms: Public domain | W3C validator |