Axiom ax-bdan 17063

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 17060	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is used by:  bdbi  17074  bd3an  17078  bdxor  17084  bdcrab  17100  bdreu  17103  bdcdif  17109  bdcin  17111  bdvsn  17122  bdop  17123  bdeqsuc  17129  bj-bdind  17178