Description: Conjugate of an inner product in a subcomplex pre-Hilbert space. Complex version of ipcj . (Contributed by Mario Carneiro, 16-Oct-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | cphipcj.h | |
|
cphipcj.v | |
||
Assertion | cphipcj | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cphipcj.h | |
|
2 | cphipcj.v | |
|
3 | cphclm | |
|
4 | eqid | |
|
5 | 4 | clmcj | |
6 | 3 5 | syl | |
7 | 6 | 3ad2ant1 | |
8 | 7 | fveq1d | |
9 | cphphl | |
|
10 | eqid | |
|
11 | 4 1 2 10 | ipcj | |
12 | 9 11 | syl3an1 | |
13 | 8 12 | eqtrd | |