Axiom ax-bdan 10606

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 102	. 2 wff (𝜑 ∧ 𝜓)
4	3	wbd 10603	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  10617  bd3an  10621  bdxor  10627  bdcrab  10643  bdreu  10646  bdcdif  10652  bdcin  10654  bdvsn  10665  bdop  10666  bdeqsuc  10672  bj-bdind  10725