Axiom ax-bdan 15487

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 15484	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  15498  bd3an  15502  bdxor  15508  bdcrab  15524  bdreu  15527  bdcdif  15533  bdcin  15535  bdvsn  15546  bdop  15547  bdeqsuc  15553  bj-bdind  15602