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Theorem rpsscn 42333
Description: The positive reals are a subset of the complex numbers. (Contributed by SN, 1-Oct-2025.)
Assertion
Ref Expression
rpsscn + ⊆ ℂ

Proof of Theorem rpsscn
StepHypRef Expression
1 rpssre 13042 . 2 + ⊆ ℝ
2 ax-resscn 11212 . 2 ℝ ⊆ ℂ
31, 2sstri 3993 1 + ⊆ ℂ
Colors of variables: wff setvar class
Syntax hints:  wss 3951  cc 11153  cr 11154  +crp 13034
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2007  ax-8 2110  ax-9 2118  ax-ext 2708  ax-resscn 11212
This theorem depends on definitions:  df-bi 207  df-an 396  df-ex 1780  df-sb 2065  df-clab 2715  df-cleq 2729  df-clel 2816  df-rab 3437  df-ss 3968  df-rp 13035
This theorem is referenced by:  readvrec2  42391
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