Mathbox for Norm Megill |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > dvhlvec | Structured version Visualization version Unicode version |
Description: The full vector space constructed from a Hilbert lattice (given a fiducial hyperplane ) is a left module. (Contributed by NM, 23-May-2015.) |
Ref | Expression |
---|---|
dvhlvec.h | |
dvhlvec.u | |
dvhlvec.k |
Ref | Expression |
---|---|
dvhlvec |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dvhlvec.k | . 2 | |
2 | eqid 2622 | . . 3 | |
3 | dvhlvec.h | . . 3 | |
4 | eqid 2622 | . . 3 | |
5 | eqid 2622 | . . 3 | |
6 | dvhlvec.u | . . 3 | |
7 | eqid 2622 | . . 3 Scalar Scalar | |
8 | eqid 2622 | . . 3 Scalar Scalar | |
9 | eqid 2622 | . . 3 | |
10 | eqid 2622 | . . 3 Scalar Scalar | |
11 | eqid 2622 | . . 3 Scalar Scalar | |
12 | eqid 2622 | . . 3 Scalar Scalar | |
13 | eqid 2622 | . . 3 | |
14 | 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 | dvhlveclem 36397 | . 2 |
15 | 1, 14 | syl 17 | 1 |
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