Metamath Proof Explorer


Theorem 0aa

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

Ref Expression
Assertion 0aa 0 ∈ 𝔸

Proof

Step Hyp Ref Expression
1 qssaa ℚ ⊆ 𝔸
2 zssq ℤ ⊆ ℚ
3 0z 0 ∈ ℤ
4 2 3 sselii 0 ∈ ℚ
5 1 4 sselii 0 ∈ 𝔸