ax-bdn - Mathbox for BJ

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Axiom ax-bdn 15867

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 15862	1 wff BOUNDED ¬ 𝜑

Colors of variables: wff set class

This axiom is referenced by: bdstab 15877 bddc 15878 bdfal 15883 bdnthALT 15885 bdxor 15886 bdne 15903 bdnel 15904 bdcdif 15911 bj-nalset 15945 bj-nnelirr 16003