ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  3ex GIF version

Theorem 3ex 9359
Description: 3 is a set (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
3ex 3 ∈ V

Proof of Theorem 3ex
StepHypRef Expression
1 3cn 9358 . 2 3 ∈ ℂ
21elexi 2834 1 3 ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 2209  Vcvv 2821  cc 8167  3c3 9335
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 106  ax-ia2 107  ax-ia3 108  ax-5 1500  ax-7 1501  ax-gen 1502  ax-ie1 1546  ax-ie2 1547  ax-8 1557  ax-11 1559  ax-4 1563  ax-17 1579  ax-i9 1583  ax-ial 1587  ax-i5r 1588  ax-ext 2220  ax-resscn 8261  ax-1re 8263  ax-addrcl 8266
This theorem depends on definitions:  df-bi 117  df-nf 1514  df-sb 1816  df-clab 2225  df-cleq 2231  df-clel 2234  df-v 2823  df-in 3226  df-ss 3233  df-2 9342  df-3 9343
This theorem is referenced by:  fztpval  10468  lgsdir2lem3  16063  konigsberglem4  16646  konigsberglem5  16647
  Copyright terms: Public domain W3C validator