Axiom ax-bdn 16263

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 16258	1 wff BOUNDED ¬ 𝜑

This axiom is referenced by:  bdstab  16273  bddc  16274  bdfal  16279  bdnthALT  16281  bdxor  16282  bdne  16299  bdnel  16300  bdcdif  16307  bj-nalset  16341  bj-nnelirr  16399