Axiom ax-bdan 14707

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 14704	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  14718  bd3an  14722  bdxor  14728  bdcrab  14744  bdreu  14747  bdcdif  14753  bdcin  14755  bdvsn  14766  bdop  14767  bdeqsuc  14773  bj-bdind  14822