Axiom ax-bdan 17058

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 17055	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is used by:  bdbi  17069  bd3an  17073  bdxor  17079  bdcrab  17095  bdreu  17098  bdcdif  17104  bdcin  17106  bdvsn  17117  bdop  17118  bdeqsuc  17124  bj-bdind  17173