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Definition df-im 9072
Description: Define a function whose value is the imaginary part of a complex number. See imval 9078 for its value, imcli 9140 for its closure, and replim 9087 for its use in decomposing a complex number. (Contributed by NM, 9-May-1999.)
Assertion
Ref Expression
df-im  Im  CC  |->  Re `  _i

Detailed syntax breakdown of Definition df-im
StepHypRef Expression
1 cim 9069 . 2  Im
2 vx . . 3  setvar
3 cc 6709 . . 3  CC
42cv 1241 . . . . 5
5 ci 6713 . . . . 5  _i
6 cdiv 7433 . . . . 5
74, 5, 6co 5455 . . . 4  _i
8 cre 9068 . . . 4  Re
97, 8cfv 4845 . . 3  Re
`  _i
102, 3, 9cmpt 3809 . 2  CC  |->  Re
`  _i
111, 10wceq 1242 1  Im  CC  |->  Re `  _i
Colors of variables: wff set class
This definition is referenced by:  imval  9078  imf  9084
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