ax-bdel - Mathbox for BJ

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

Axiom ax-bdel 16208

Description: An atomic formula is bounded (membership predicate). (Contributed by BJ, 3-Oct-2019.)

**Assertion**
Ref	Expression
ax-bdel	⊢ BOUNDED 𝑥 ∈ 𝑦

**Detailed syntax breakdown of Axiom ax-bdel**
Step	Hyp	Ref	Expression
1		vx	. . 3 setvar 𝑥
2		vy	. . 3 setvar 𝑦
3	1, 2	wel 2201	. 2 wff 𝑥 ∈ 𝑦
4	3	wbd 16199	1 wff BOUNDED 𝑥 ∈ 𝑦

Colors of variables: wff set class

This axiom is referenced by: bdcv 16235 bdop 16262 bdcuni 16263 bdcint 16264 bdcriota 16270 bj-nalset 16282 bj-inex 16294 bj-axun2 16302 bj-nnelirr 16340