Axiom ax-bdan 16841

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 16838	1 wff BOUNDED ( ph /\ ps )

This axiom is used by:  bdbi  16852  bd3an  16856  bdxor  16862  bdcrab  16878  bdreu  16881  bdcdif  16887  bdcin  16889  bdvsn  16900  bdop  16901  bdeqsuc  16907  bj-bdind  16956