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Theorem reex 7169
Description: The real numbers form a set. (Contributed by Mario Carneiro, 17-Nov-2014.)
Assertion
Ref Expression
reex ℝ ∈ V

Proof of Theorem reex
StepHypRef Expression
1 cnex 7159 . 2 ℂ ∈ V
2 ax-resscn 7130 . 2 ℝ ⊆ ℂ
31, 2ssexi 3924 1 ℝ ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 1434  Vcvv 2602  cc 7041  cr 7042
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 104  ax-ia2 105  ax-ia3 106  ax-io 663  ax-5 1377  ax-7 1378  ax-gen 1379  ax-ie1 1423  ax-ie2 1424  ax-8 1436  ax-10 1437  ax-11 1438  ax-i12 1439  ax-bndl 1440  ax-4 1441  ax-17 1460  ax-i9 1464  ax-ial 1468  ax-i5r 1469  ax-ext 2064  ax-sep 3904  ax-cnex 7129  ax-resscn 7130
This theorem depends on definitions:  df-bi 115  df-tru 1288  df-nf 1391  df-sb 1687  df-clab 2069  df-cleq 2075  df-clel 2078  df-nfc 2209  df-v 2604  df-in 2980  df-ss 2987
This theorem is referenced by:  reelprrecn  7170  peano5nni  8109  xrex  8986  sqrtrval  10024  absval  10025  negfi  10248  climrecvg1n  10323
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