ax-bdn - Mathbox for BJ

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Axiom ax-bdn 13186

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 13181	1 wff BOUNDED ¬ 𝜑

Colors of variables: wff set class

This axiom is referenced by: bdstab 13196 bddc 13197 bdfal 13202 bdnthALT 13204 bdxor 13205 bdne 13222 bdnel 13223 bdcdif 13230 bj-nalset 13264 bj-nnelirr 13322