Axiom ax-bdn 15547

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 15542	1 wff BOUNDED ¬ 𝜑

This axiom is referenced by:  bdstab  15557  bddc  15558  bdfal  15563  bdnthALT  15565  bdxor  15566  bdne  15583  bdnel  15584  bdcdif  15591  bj-nalset  15625  bj-nnelirr  15683