ax-bdn - Mathbox for BJ

	Mathbox for BJ		< Previous Next > Nearby theorems
Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdn		GIF version

Axiom ax-bdn 16843

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 16838	1 wff BOUNDED ¬ 𝜑

Colors of variables: wff set class

This axiom is used by: bdstab 16853 bddc 16854 bdfal 16859 bdnthALT 16861 bdxor 16862 bdne 16879 bdnel 16880 bdcdif 16887 bj-nalset 16921 bj-nnelirr 16979