Description: Rearrange arguments in a commutative, associative operation. (Contributed by NM, 26-Aug-1995)
Ref | Expression | ||
---|---|---|---|
Hypotheses | caov.1 | |
|
caov.2 | |
||
caov.3 | |
||
caov.com | |
||
caov.ass | |
||
Assertion | caov12 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | caov.1 | |
|
2 | caov.2 | |
|
3 | caov.3 | |
|
4 | caov.com | |
|
5 | caov.ass | |
|
6 | 1 2 4 | caovcom | |
7 | 6 | oveq1i | |
8 | 1 2 3 5 | caovass | |
9 | 2 1 3 5 | caovass | |
10 | 7 8 9 | 3eqtr3i | |