Axiom ax-bdan 16853

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 16850	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is used by:  bdbi  16864  bd3an  16868  bdxor  16874  bdcrab  16890  bdreu  16893  bdcdif  16899  bdcin  16901  bdvsn  16912  bdop  16913  bdeqsuc  16919  bj-bdind  16968