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Metamath Proof Explorer

Theorem qcn

Description: A rational number is a complex number. (Contributed by NM, 2-Aug-2004)

Ref Expression
Assertion qcn ( 𝐴 ∈ ℚ → 𝐴 ∈ ℂ )

Proof

Step Hyp Ref Expression
1 qsscn ⊢ ℚ ⊆ ℂ
2 1 sseli ⊢ ( 𝐴 ∈ ℚ → 𝐴 ∈ ℂ )