Axiom ax-bdan 15377

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 15374	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  15388  bd3an  15392  bdxor  15398  bdcrab  15414  bdreu  15417  bdcdif  15423  bdcin  15425  bdvsn  15436  bdop  15437  bdeqsuc  15443  bj-bdind  15492