Axiom ax-bdan 15307

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 15304	1 wff BOUNDED ( ph /\ ps )

This axiom is referenced by:  bdbi  15318  bd3an  15322  bdxor  15328  bdcrab  15344  bdreu  15347  bdcdif  15353  bdcin  15355  bdvsn  15366  bdop  15367  bdeqsuc  15373  bj-bdind  15422