Description: Projection of scalar product is scalar product of projection. (Contributed by NM, 26-Nov-2000) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pjadjt.1 | |
|
Assertion | pjmuli | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pjadjt.1 | |
|
2 | fvoveq1 | |
|
3 | oveq1 | |
|
4 | 2 3 | eqeq12d | |
5 | oveq2 | |
|
6 | 5 | fveq2d | |
7 | fveq2 | |
|
8 | 7 | oveq2d | |
9 | 6 8 | eqeq12d | |
10 | ifhvhv0 | |
|
11 | 0cn | |
|
12 | 11 | elimel | |
13 | 1 10 12 | pjmulii | |
14 | 4 9 13 | dedth2h | |