Axiom ax-bdan 9935

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 97	. 2 wff (𝜑 ∧ 𝜓)
4	3	wbd 9932	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  9946  bd3an  9950  bdxor  9956  bdcrab  9972  bdreu  9975  bdcdif  9981  bdcin  9983  bdvsn  9994  bdop  9995  bdeqsuc  10001  bj-bdind  10054