Axiom ax-bdan 13850

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 103	. 2 wff (𝜑 ∧ 𝜓)
4	3	wbd 13847	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  13861  bd3an  13865  bdxor  13871  bdcrab  13887  bdreu  13890  bdcdif  13896  bdcin  13898  bdvsn  13909  bdop  13910  bdeqsuc  13916  bj-bdind  13965