Description: The full vector space U constructed from a Hilbert lattice K (given a fiducial hyperplane W ) is a left module. (Contributed by NM, 23-May-2015)
Ref | Expression | ||
---|---|---|---|
Hypotheses | dvhlvec.h | |
|
dvhlvec.u | |
||
dvhlvec.k | |
||
Assertion | dvhlvec | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvhlvec.h | |
|
2 | dvhlvec.u | |
|
3 | dvhlvec.k | |
|
4 | eqid | |
|
5 | eqid | |
|
6 | eqid | |
|
7 | eqid | |
|
8 | eqid | |
|
9 | eqid | |
|
10 | eqid | |
|
11 | eqid | |
|
12 | eqid | |
|
13 | eqid | |
|
14 | 4 1 5 6 2 7 8 9 10 11 12 13 | dvhlveclem | |
15 | 3 14 | syl | |