Description: Convert minus one times a scalar product to the negative of the scalar. (Contributed by NM, 4-Jun-2004) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | hvm1neg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | neg1cn | |
|
2 | ax-hvmulass | |
|
3 | 1 2 | mp3an1 | |
4 | mulm1 | |
|
5 | 4 | adantr | |
6 | 5 | oveq1d | |
7 | 3 6 | eqtr3d | |