Description: An operator equals its scalar product with one. (Contributed by NM, 12-Aug-2006) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | homulid2 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn | |
|
2 | homval | |
|
3 | 1 2 | mp3an1 | |
4 | ffvelrn | |
|
5 | ax-hvmulid | |
|
6 | 4 5 | syl | |
7 | 3 6 | eqtrd | |
8 | 7 | ralrimiva | |
9 | homulcl | |
|
10 | 1 9 | mpan | |
11 | hoeq | |
|
12 | 10 11 | mpancom | |
13 | 8 12 | mpbid | |