ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  2mulicn Unicode version

Theorem 2mulicn 8147
Description:  ( 2  x.  _i )  e.  CC (common case). (Contributed by David A. Wheeler, 8-Dec-2018.)
Assertion
Ref Expression
2mulicn  |-  ( 2  x.  _i )  e.  CC

Proof of Theorem 2mulicn
StepHypRef Expression
1 2cn 7986 . 2  |-  2  e.  CC
2 ax-icn 6979 . 2  |-  _i  e.  CC
31, 2mulcli 7032 1  |-  ( 2  x.  _i )  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 1393  (class class class)co 5512   CCcc 6887   _ici 6891    x. cmul 6894   2c2 7964
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1336  ax-7 1337  ax-gen 1338  ax-ie1 1382  ax-ie2 1383  ax-8 1395  ax-11 1397  ax-4 1400  ax-17 1419  ax-i9 1423  ax-ial 1427  ax-i5r 1428  ax-ext 2022  ax-resscn 6976  ax-1re 6978  ax-icn 6979  ax-addrcl 6981  ax-mulcl 6982
This theorem depends on definitions:  df-bi 110  df-nf 1350  df-sb 1646  df-clab 2027  df-cleq 2033  df-clel 2036  df-in 2924  df-ss 2931  df-2 7973
This theorem is referenced by:  2muline0  8150  imval2  9494
  Copyright terms: Public domain W3C validator