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

Theorem 1ex 7768
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 7720 . 2  |-  1  e.  CC
21elexi 2698 1  |-  1  e.  _V
Colors of variables: wff set class
Syntax hints:    e. wcel 1480   _Vcvv 2686   CCcc 7625   1c1 7628
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 1423  ax-gen 1425  ax-ie1 1469  ax-ie2 1470  ax-8 1482  ax-4 1487  ax-17 1506  ax-i9 1510  ax-ial 1514  ax-ext 2121  ax-1cn 7720
This theorem depends on definitions:  df-bi 116  df-sb 1736  df-clab 2126  df-cleq 2132  df-clel 2135  df-v 2688
This theorem is referenced by:  nn1suc  8746  nn0ind-raph  9175  fzprval  9869  fztpval  9870  m1expcl2  10322  1exp  10329  facnn  10480  fac0  10481  prhash2ex  10562  prodf1f  11319  ege2le3  11384  1nprm  11802  dvexp  12854  dvef  12866  isomninnlem  13235
  Copyright terms: Public domain W3C validator