Axiom ax-bdan 17046

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 17043	1 wff BOUNDED ( ph /\ ps )

This axiom is used by:  bdbi  17057  bd3an  17061  bdxor  17067  bdcrab  17083  bdreu  17086  bdcdif  17092  bdcin  17094  bdvsn  17105  bdop  17106  bdeqsuc  17112  bj-bdind  17161