Axiom ax-bdan 16939

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 16936	1 wff BOUNDED ( ph /\ ps )

This axiom is used by:  bdbi  16950  bd3an  16954  bdxor  16960  bdcrab  16976  bdreu  16979  bdcdif  16985  bdcin  16987  bdvsn  16998  bdop  16999  bdeqsuc  17005  bj-bdind  17054