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

Theorem 1ex 8234
Description: 1 is a set. Common special case. (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
1ex  |-  1  e.  _V

Proof of Theorem 1ex
StepHypRef Expression
1 ax-1cn 8185 . 2  |-  1  e.  CC
21elexi 2816 1  |-  1  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 2202   _Vcvv 2803   CCcc 8090   1c1 8093
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 2213  ax-1cn 8185
This theorem depends on definitions:  df-bi 117  df-sb 1811  df-clab 2218  df-cleq 2224  df-clel 2227  df-v 2805
This theorem is referenced by:  nn1suc  9221  nn0ind-raph  9658  fzprval  10379  fztpval  10380  m1expcl2  10886  1exp  10893  facnn  11052  fac0  11053  prhash2ex  11136  prodf1f  12184  fprodntrivap  12225  prod1dc  12227  fprodssdc  12231  ege2le3  12312  1nprm  12766  pcmpt  12996  dvexp  15522  dvef  15538  lgsdir2lem3  15849  2wlklem  16317  konigsberglem4  16432  konigsberglem5  16433  2o01f  16714  iswomni0  16784
  Copyright terms: Public domain W3C validator