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Theorem rrpsscn 44814
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 12982 . 2 (𝑥 ∈ ℝ+𝑥 ∈ ℂ)
21ssriv 3979 1 + ⊆ ℂ
Colors of variables: wff setvar class
Syntax hints:  wss 3941  cc 11105  +crp 12972
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1789  ax-4 1803  ax-5 1905  ax-6 1963  ax-7 2003  ax-8 2100  ax-9 2108  ax-ext 2695  ax-resscn 11164
This theorem depends on definitions:  df-bi 206  df-an 396  df-tru 1536  df-ex 1774  df-sb 2060  df-clab 2702  df-cleq 2716  df-clel 2802  df-rab 3425  df-v 3468  df-in 3948  df-ss 3958  df-rp 12973
This theorem is referenced by:  stirlinglem8  45307
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