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| Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdn | GIF version | ||
| Description: The negation of a bounded formula is bounded. (Contributed by BJ, 25-Sep-2019.) |
| Ref | Expression |
|---|---|
| bdn.1 | ⊢ BOUNDED 𝜑 |
| Ref | Expression |
|---|---|
| ax-bdn | ⊢ BOUNDED ¬ 𝜑 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | wph | . . 3 wff 𝜑 | |
| 2 | 1 | wn 3 | . 2 wff ¬ 𝜑 |
| 3 | 2 | wbd 10603 | 1 wff BOUNDED ¬ 𝜑 |
| Colors of variables: wff set class |
| This axiom is referenced by: bdstab 10618 bddc 10619 bdfal 10624 bdnthALT 10626 bdxor 10627 bdne 10644 bdnel 10645 bdcdif 10652 bj-nalset 10686 bj-nnelirr 10748 |
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