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Theorem rrpsscn 39224
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 11785 . 2 (𝑥 ∈ ℝ+𝑥 ∈ ℂ)
21ssriv 3587 1 + ⊆ ℂ
Colors of variables: wff setvar class
Syntax hints:  wss 3555  cc 9878  +crp 11776
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1719  ax-4 1734  ax-5 1836  ax-6 1885  ax-7 1932  ax-9 1996  ax-10 2016  ax-11 2031  ax-12 2044  ax-13 2245  ax-ext 2601  ax-resscn 9937
This theorem depends on definitions:  df-bi 197  df-or 385  df-an 386  df-tru 1483  df-ex 1702  df-nf 1707  df-sb 1878  df-clab 2608  df-cleq 2614  df-clel 2617  df-nfc 2750  df-rab 2916  df-in 3562  df-ss 3569  df-rp 11777
This theorem is referenced by:  stirlinglem8  39605
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