ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  1ex GIF version

Theorem 1ex 8285
Description: 1 is a set. Common special case. (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
1ex 1 ∈ V

Proof of Theorem 1ex
StepHypRef Expression
1 ax-1cn 8236 . 2 1 ∈ ℂ
21elexi 2828 1 1 ∈ V
Colors of variables: wff set class
Syntax hints:  wcel 2205  Vcvv 2815  cc 8141  1c1 8144
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 1496  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-ext 2216  ax-1cn 8236
This theorem depends on definitions:  df-bi 117  df-sb 1812  df-clab 2221  df-cleq 2227  df-clel 2230  df-v 2817
This theorem is referenced by:  nn1suc  9273  nn0ind-raph  9713  fzprval  10438  fztpval  10439  m1expcl2  10947  1exp  10954  facnn  11114  fac0  11115  prhash2ex  11199  prodf1f  12254  fprodntrivap  12295  prod1dc  12297  fprodssdc  12301  ege2le3  12382  1nprm  12836  pcmpt  13066  ballotfilem2  13172  dvexp  15702  dvef  15718  lgsdir2lem3  16029  2wlklem  16497  konigsberglem4  16612  konigsberglem5  16613  2o01f  16894  iswomni0  16962
  Copyright terms: Public domain W3C validator