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 | caov32 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | caov.1 | ||
2 | caov.2 | ||
3 | caov.3 | ||
4 | caov.com | ||
5 | caov.ass | ||
6 | 2 3 4 | caovcom | |
7 | 6 | oveq2i | |
8 | 1 2 3 5 | caovass | |
9 | 1 3 2 5 | caovass | |
10 | 7 8 9 | 3eqtr4i |