Axiom ax-bdan 15889

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 15886	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  15900  bd3an  15904  bdxor  15910  bdcrab  15926  bdreu  15929  bdcdif  15935  bdcin  15937  bdvsn  15948  bdop  15949  bdeqsuc  15955  bj-bdind  16004