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

Theorem 1ex 7894
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 7846 . 2  |-  1  e.  CC
21elexi 2738 1  |-  1  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 2136   _Vcvv 2726   CCcc 7751   1c1 7754
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107  ax-5 1435  ax-gen 1437  ax-ie1 1481  ax-ie2 1482  ax-8 1492  ax-4 1498  ax-17 1514  ax-i9 1518  ax-ial 1522  ax-ext 2147  ax-1cn 7846
This theorem depends on definitions:  df-bi 116  df-sb 1751  df-clab 2152  df-cleq 2158  df-clel 2161  df-v 2728
This theorem is referenced by:  nn1suc  8876  nn0ind-raph  9308  fzprval  10017  fztpval  10018  m1expcl2  10477  1exp  10484  facnn  10640  fac0  10641  prhash2ex  10722  prodf1f  11484  fprodntrivap  11525  prod1dc  11527  fprodssdc  11531  ege2le3  11612  1nprm  12046  pcmpt  12273  dvexp  13315  dvef  13328  lgsdir2lem3  13571  2o01f  13876  iswomni0  13930
  Copyright terms: Public domain W3C validator