Axiom ax-bdan 15545

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 15542	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  15556  bd3an  15560  bdxor  15566  bdcrab  15582  bdreu  15585  bdcdif  15591  bdcin  15593  bdvsn  15604  bdop  15605  bdeqsuc  15611  bj-bdind  15660