Description: The imaginary part of a complex number is real. (Contributed by NM, 9-May-1999) (Revised by Mario Carneiro, 6-Nov-2013)
Ref | Expression | ||
---|---|---|---|
Assertion | imcl | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imre | |
|
2 | negicn | |
|
3 | mulcl | |
|
4 | 2 3 | mpan | |
5 | recl | |
|
6 | 4 5 | syl | |
7 | 1 6 | eqeltrd | |