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