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Theorem reex 7455
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 7445 . 2 ℂ ∈ V
2 ax-resscn 7416 . 2 ℝ ⊆ ℂ
31, 2ssexi 3969 1 ℝ ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 1438  Vcvv 2619  cc 7327  cr 7328
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 665  ax-5 1381  ax-7 1382  ax-gen 1383  ax-ie1 1427  ax-ie2 1428  ax-8 1440  ax-10 1441  ax-11 1442  ax-i12 1443  ax-bndl 1444  ax-4 1445  ax-17 1464  ax-i9 1468  ax-ial 1472  ax-i5r 1473  ax-ext 2070  ax-sep 3949  ax-cnex 7415  ax-resscn 7416
This theorem depends on definitions:  df-bi 115  df-tru 1292  df-nf 1395  df-sb 1693  df-clab 2075  df-cleq 2081  df-clel 2084  df-nfc 2217  df-v 2621  df-in 3003  df-ss 3010
This theorem is referenced by:  reelprrecn  7456  peano5nni  8397  xrex  9274  sqrtrval  10398  absval  10399  negfi  10623  climrecvg1n  10701
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