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Theorem rrpsscn 45544
Description: The positive reals are a subset of the complex numbers. (Contributed by Glauco Siliprandi, 29-Jun-2017.)
Assertion
Ref Expression
rrpsscn + ⊆ ℂ

Proof of Theorem rrpsscn
StepHypRef Expression
1 rpcn 13043 . 2 (𝑥 ∈ ℝ+𝑥 ∈ ℂ)
21ssriv 3999 1 + ⊆ ℂ
Colors of variables: wff setvar class
Syntax hints:  wss 3963  cc 11151  +crp 13032
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1792  ax-4 1806  ax-5 1908  ax-6 1965  ax-7 2005  ax-8 2108  ax-9 2116  ax-ext 2706  ax-resscn 11210
This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1777  df-sb 2063  df-clab 2713  df-cleq 2727  df-clel 2814  df-rab 3434  df-ss 3980  df-rp 13033
This theorem is referenced by:  stirlinglem8  46037
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