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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 13847 | 1 wff BOUNDED ¬ 𝜑 |
Colors of variables: wff set class |
This axiom is referenced by: bdstab 13862 bddc 13863 bdfal 13868 bdnthALT 13870 bdxor 13871 bdne 13888 bdnel 13889 bdcdif 13896 bj-nalset 13930 bj-nnelirr 13988 |
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