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Theorem 4cn 8926
Description: The number 4 is a complex number. (Contributed by David A. Wheeler, 7-Jul-2016.)
Assertion
Ref Expression
4cn 4 ∈ ℂ

Proof of Theorem 4cn
StepHypRef Expression
1 4re 8925 . 2 4 ∈ ℝ
21recni 7902 1 4 ∈ ℂ
Colors of variables: wff set class
Syntax hints:  wcel 2135  cc 7742  4c4 8901
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 1434  ax-7 1435  ax-gen 1436  ax-ie1 1480  ax-ie2 1481  ax-8 1491  ax-11 1493  ax-4 1497  ax-17 1513  ax-i9 1517  ax-ial 1521  ax-i5r 1522  ax-ext 2146  ax-resscn 7836  ax-1re 7838  ax-addrcl 7841
This theorem depends on definitions:  df-bi 116  df-nf 1448  df-sb 1750  df-clab 2151  df-cleq 2157  df-clel 2160  df-in 3117  df-ss 3124  df-2 8907  df-3 8908  df-4 8909
This theorem is referenced by:  5m1e4  8970  4p2e6  8991  4p3e7  8992  4p4e8  8993  4t2e8  9006  4d2e2  9008  8th4div3  9067  div4p1lem1div2  9101  5p5e10  9383  4t4e16  9411  6t5e30  9419  fzo0to42pr  10145  fldiv4p1lem1div2  10230  sq4e2t8  10542  sqoddm1div8  10597  4bc3eq4  10675  4bc2eq6  10676  resqrexlemover  10938  resqrexlemcalc1  10942  resqrexlemcalc3  10944  cos2bnd  11687  flodddiv4  11856  6gcd4e2  11913  6lcm4e12  11998  pythagtriplem1  12174  dveflem  13228  sincosq4sgn  13291  cosq23lt0  13295  sincos6thpi  13304  ex-exp  13445  ex-fac  13446  ex-bc  13447
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