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Theorem 2mulicn 8910
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 8759 . 2  |-  2  e.  CC
2 ax-icn 7683 . 2  |-  _i  e.  CC
31, 2mulcli 7739 1  |-  ( 2  x.  _i )  e.  CC
Colors of variables: wff set class
Syntax hints:    e. wcel 1465  (class class class)co 5742   CCcc 7586   _ici 7590    x. cmul 7593   2c2 8739
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 1408  ax-7 1409  ax-gen 1410  ax-ie1 1454  ax-ie2 1455  ax-8 1467  ax-11 1469  ax-4 1472  ax-17 1491  ax-i9 1495  ax-ial 1499  ax-i5r 1500  ax-ext 2099  ax-resscn 7680  ax-1re 7682  ax-icn 7683  ax-addrcl 7685  ax-mulcl 7686
This theorem depends on definitions:  df-bi 116  df-nf 1422  df-sb 1721  df-clab 2104  df-cleq 2110  df-clel 2113  df-in 3047  df-ss 3054  df-2 8747
This theorem is referenced by:  2muline0  8913  imval2  10634  sinval  11336  sinf  11338  sinneg  11360  efival  11366  sinadd  11370  sincn  12785
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