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Definition df-cj 9070
Description: Define the complex conjugate function. See cjcli 9141 for its closure and cjval 9073 for its value. (Contributed by NM, 9-May-1999.) (Revised by Mario Carneiro, 6-Nov-2013.)
Assertion
Ref Expression
df-cj  *  CC  |->  iota_  CC  +  RR  _i  x.  -  RR
Distinct variable group:   ,

Detailed syntax breakdown of Definition df-cj
StepHypRef Expression
1 ccj 9067 . 2  *
2 vx . . 3  setvar
3 cc 6709 . . 3  CC
42cv 1241 . . . . . . 7
5 vy . . . . . . . 8  setvar
65cv 1241 . . . . . . 7
7 caddc 6714 . . . . . . 7  +
84, 6, 7co 5455 . . . . . 6  +
9 cr 6710 . . . . . 6  RR
108, 9wcel 1390 . . . . 5  +  RR
11 ci 6713 . . . . . . 7  _i
12 cmin 6979 . . . . . . . 8  -
134, 6, 12co 5455 . . . . . . 7  -
14 cmul 6716 . . . . . . 7  x.
1511, 13, 14co 5455 . . . . . 6  _i  x.  -
1615, 9wcel 1390 . . . . 5  _i  x.  -  RR
1710, 16wa 97 . . . 4  +  RR  _i  x.  -  RR
1817, 5, 3crio 5410 . . 3  iota_  CC  +  RR  _i  x.  -  RR
192, 3, 18cmpt 3809 . 2  CC  |->  iota_  CC  +  RR  _i  x.  -  RR
201, 19wceq 1242 1  *  CC  |->  iota_  CC  +  RR  _i  x.  -  RR
Colors of variables: wff set class
This definition is referenced by:  cjval  9073  cjf  9075
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