Theorem 3cn

Description: The number 3 is a complex number. (Contributed by FL, 17-Oct-2010) Reduce dependencies on axioms. (Revised by Steven Nguyen, 4-Oct-2022)

	Ref	Expression
Assertion	3cn	⊢ 3 ∈ ℂ

Proof

Step	Hyp	Ref	Expression
1		df-3	⊢ 3 = ( 2 + 1 )
2		2cn	⊢ 2 ∈ ℂ
3		ax-1cn	⊢ 1 ∈ ℂ
4	2 3	addcli	⊢ ( 2 + 1 ) ∈ ℂ
5	1 4	eqeltri	⊢ 3 ∈ ℂ