Metamath Proof Explorer


Theorem 1aa

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

Ref Expression
Assertion 1aa ⊢ 1 ∈ 𝔸

Proof

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