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Metamath Proof Explorer

Theorem rrpsscn

Description: The positive reals are a subset of the complex numbers. (Contributed by Glauco Siliprandi, 29-Jun-2017)

Ref Expression
Assertion rrpsscn ℝ+ ⊆ ℂ

Proof

Step Hyp Ref Expression
1 rpcn ⊢ ( 𝑥 ∈ ℝ+ → 𝑥 ∈ ℂ )
2 1 ssriv ⊢ ℝ+ ⊆ ℂ