Axiom ax-bdan 13812

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 103	. 2 wff (𝜑 ∧ 𝜓)
4	3	wbd 13809	1 wff BOUNDED (𝜑 ∧ 𝜓)

This axiom is referenced by:  bdbi  13823  bd3an  13827  bdxor  13833  bdcrab  13849  bdreu  13852  bdcdif  13858  bdcin  13860  bdvsn  13871  bdop  13872  bdeqsuc  13878  bj-bdind  13927