Axiom ax-bdan 17012

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 17009	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is used by:  bdbi  17023  bd3an  17027  bdxor  17033  bdcrab  17049  bdreu  17052  bdcdif  17058  bdcin  17060  bdvsn  17071  bdop  17072  bdeqsuc  17078  bj-bdind  17127