ax-bdn - Mathbox for BJ

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Axiom ax-bdn 17009

Description: The negation of a bounded formula is bounded. (Contributed by BJ, 25-Sep-2019.)

**Hypothesis**
Ref	Expression
bdn.1	⊢ BOUNDED 𝜑

**Assertion**
Ref	Expression
ax-bdn	⊢ BOUNDED ¬ 𝜑

**Detailed syntax breakdown of Axiom ax-bdn**
Step	Hyp	Ref	Expression
1		wph	. . 3 wff 𝜑
2	1	wn 3	. 2 wff ¬ 𝜑
3	2	wbd 17004	1 wff BOUNDED ¬ 𝜑

Colors of variables: wff set class

This axiom is used by: bdstab 17019 bddc 17020 bdfal 17025 bdnthALT 17027 bdxor 17028 bdne 17045 bdnel 17046 bdcdif 17053 bj-nalset 17087 bj-nnelirr 17145