Axiom ax-bdan 13657

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 103	. 2 wff ( ph /\ ps )
4	3	wbd 13654	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  13668  bd3an  13672  bdxor  13678  bdcrab  13694  bdreu  13697  bdcdif  13703  bdcin  13705  bdvsn  13716  bdop  13717  bdeqsuc  13723  bj-bdind  13772