Axiom ax-bdn 16322

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 16317	1 wff BOUNDED ¬ 𝜑

This axiom is referenced by:  bdstab  16332  bddc  16333  bdfal  16338  bdnthALT  16340  bdxor  16341  bdne  16358  bdnel  16359  bdcdif  16366  bj-nalset  16400  bj-nnelirr  16458