Description: The vector sum operation for the constructed partial vector space A. (Contributed by NM, 9-Oct-2013) (Revised by Mario Carneiro, 22-Jun-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | dvafvadd.h | |
|
dvafvadd.t | |
||
dvafvadd.u | |
||
dvafvadd.v | |
||
Assertion | dvafvadd | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvafvadd.h | |
|
2 | dvafvadd.t | |
|
3 | dvafvadd.u | |
|
4 | dvafvadd.v | |
|
5 | eqid | |
|
6 | eqid | |
|
7 | 1 2 5 6 3 | dvaset | |
8 | 7 | fveq2d | |
9 | 2 | fvexi | |
10 | 9 9 | mpoex | |
11 | eqid | |
|
12 | 11 | lmodplusg | |
13 | 10 12 | ax-mp | |
14 | 8 4 13 | 3eqtr4g | |