Axiom ax-bdan 16470

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 16467	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  16481  bd3an  16485  bdxor  16491  bdcrab  16507  bdreu  16510  bdcdif  16516  bdcin  16518  bdvsn  16529  bdop  16530  bdeqsuc  16536  bj-bdind  16585