Theorem 0aa

Description: Zero is algebraic. (Contributed by Ender Ting, 21-Jul-2026)

	Ref	Expression
Assertion	0aa	$$⊢0\in 𝔸$$

Proof

Step	Hyp	Ref	Expression
1		qssaa	$$⊢\mathbb{Q}\subseteq 𝔸$$
2		zssq	$$⊢\mathbb{Z}\subseteq \mathbb{Q}$$
3		0z	$$⊢0\in \mathbb{Z}$$
4	2 3	sselii	$$⊢0\in \mathbb{Q}$$
5	1 4	sselii	$$⊢0\in 𝔸$$