Description: A vector plus itself is two times the vector. (Contributed by NM, 1-Feb-2007) Obsolete theorem, use clmvs2 together with cvsclm instead. (New usage is discouraged.) (Proof modification is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | vciOLD.1 | |
|
vciOLD.2 | |
||
vciOLD.3 | |
||
Assertion | vc2OLD | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vciOLD.1 | |
|
2 | vciOLD.2 | |
|
3 | vciOLD.3 | |
|
4 | 1 2 3 | vcidOLD | |
5 | 4 4 | oveq12d | |
6 | df-2 | |
|
7 | 6 | oveq1i | |
8 | ax-1cn | |
|
9 | 1 2 3 | vcdir | |
10 | 8 9 | mp3anr1 | |
11 | 8 10 | mpanr1 | |
12 | 7 11 | eqtr2id | |
13 | 5 12 | eqtr3d | |