Axiom ax-bdan 17007

Description: The conjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)

Hypotheses

Ref	Expression
bdim.1	|- BOUNDED ph
bdim.2	|- BOUNDED ps

Assertion

Ref	Expression
ax-bdan	|- BOUNDED ( ph /\ ps )

Detailed syntax breakdown of Axiom ax-bdan

Step	Hyp	Ref	Expression
1		wph	. . 3 wff ph
2		wps	. . 3 wff ps
3	1, 2	wa 104	. 2 wff ( ph /\ ps )
4	3	wbd 17004	1 wff BOUNDED ( ph /\ ps )

This axiom is used by:  bdbi  17018  bd3an  17022  bdxor  17028  bdcrab  17044  bdreu  17047  bdcdif  17053  bdcin  17055  bdvsn  17066  bdop  17067  bdeqsuc  17073  bj-bdind  17122