Description: Ring multiplication operation for the constructed full vector space H. (Contributed by NM, 29-Oct-2013) (Revised by Mario Carneiro, 22-Jun-2014)
Ref | Expression | ||
---|---|---|---|
Hypotheses | dvhfmul.h | |
|
dvhfmul.t | |
||
dvhfmul.e | |
||
dvhfmul.u | |
||
dvhfmul.f | |
||
dvhfmul.m | |
||
Assertion | dvhfmulr | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvhfmul.h | |
|
2 | dvhfmul.t | |
|
3 | dvhfmul.e | |
|
4 | dvhfmul.u | |
|
5 | dvhfmul.f | |
|
6 | dvhfmul.m | |
|
7 | eqid | |
|
8 | 1 7 4 5 | dvhsca | |
9 | 8 | fveq2d | |
10 | 6 9 | eqtrid | |
11 | eqid | |
|
12 | 1 2 3 7 11 | erngfmul | |
13 | 10 12 | eqtrd | |