Description: Vector negation in the ring module. (Contributed by Stefan O'Rear, 6-Dec-2014) (Revised by Mario Carneiro, 5-Jun-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | rlmvneg | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqidd | |
|
2 | rlmbas | |
|
3 | 2 | a1i | |
4 | rlmplusg | |
|
5 | 4 | a1i | |
6 | 5 | oveqd | |
7 | 1 3 6 | grpinvpropd | |
8 | 7 | mptru | |