Theorem 1ex 8164

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

Step	Hyp	Ref	Expression
1		ax-1cn 8115	. 2 ⊢ 1 ∈ ℂ
2	1	elexi 2813	1 ⊢ 1 ∈ V

Syntax hints:   ∈ wcel 2200  Vcvv 2800  ℂcc 8020  1c1 8023

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 1493  ax-gen 1495  ax-ie1 1539  ax-ie2 1540  ax-8 1550  ax-4 1556  ax-17 1572  ax-i9 1576  ax-ial 1580  ax-ext 2211  ax-1cn 8115

This theorem depends on definitions:  df-bi 117  df-sb 1809  df-clab 2216  df-cleq 2222  df-clel 2225  df-v 2802

This theorem is referenced by:  nn1suc  9152  nn0ind-raph  9587  fzprval  10307  fztpval  10308  m1expcl2  10813  1exp  10820  facnn  10979  fac0  10980  prhash2ex  11063  prodf1f  12094  fprodntrivap  12135  prod1dc  12137  fprodssdc  12141  ege2le3  12222  1nprm  12676  pcmpt  12906  dvexp  15425  dvef  15441  lgsdir2lem3  15749  2wlklem  16171  2o01f  16529  iswomni0  16591