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Metamath Proof Explorer

Theorem recn

Description: A real number is a complex number. (Contributed by NM, 10-Aug-1999)

Ref Expression
Assertion recn ( 𝐴 ∈ ℝ → 𝐴 ∈ ℂ )

Proof

Step Hyp Ref Expression
1 ax-resscn ⊢ ℝ ⊆ ℂ
2 1 sseli ⊢ ( 𝐴 ∈ ℝ → 𝐴 ∈ ℂ )