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