Axiom ax-bdan 15825

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 15822	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  15836  bd3an  15840  bdxor  15846  bdcrab  15862  bdreu  15865  bdcdif  15871  bdcin  15873  bdvsn  15884  bdop  15885  bdeqsuc  15891  bj-bdind  15940