Axiom ax-bdan 15545

Description: The conjunction of two bounded formulas is bounded. (Contributed by BJ, 25-Sep-2019.)

Hypotheses

Ref	Expression
bdim.1	⊢ BOUNDED 𝜑
bdim.2	⊢ BOUNDED 𝜓

Assertion

Ref	Expression
ax-bdan	⊢ BOUNDED (𝜑 ∧ 𝜓)

Detailed syntax breakdown of Axiom ax-bdan

Step	Hyp	Ref	Expression
1		wph	. . 3 wff 𝜑
2		wps	. . 3 wff 𝜓
3	1, 2	wa 104	. 2 wff (𝜑 ∧ 𝜓)
4	3	wbd 15542	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  15556  bd3an  15560  bdxor  15566  bdcrab  15582  bdreu  15585  bdcdif  15591  bdcin  15593  bdvsn  15604  bdop  15605  bdeqsuc  15611  bj-bdind  15660