Metamath Proof Explorer


Theorem aasscn

Description: The algebraic numbers are a subset of the complex numbers. (Contributed by Mario Carneiro, 23-Jul-2014)

Ref Expression
Assertion aasscn ⊢ 𝔸 ⊆ ℂ

Proof

Step Hyp Ref Expression
1 aacn ⊢ x ∈ 𝔸 → x ∈ ℂ
2 1 ssriv ⊢ 𝔸 ⊆ ℂ