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Mirrors > Home > MPE Home > Th. List > df-lsp | Structured version Visualization version Unicode version |
Description: Define span of a set of vectors of a left module or left vector space. (Contributed by NM, 8-Dec-2013.) |
Ref | Expression |
---|---|
df-lsp |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | clspn 18971 | . 2 | |
2 | vw | . . 3 | |
3 | cvv 3200 | . . 3 | |
4 | vs | . . . 4 | |
5 | 2 | cv 1482 | . . . . . 6 |
6 | cbs 15857 | . . . . . 6 | |
7 | 5, 6 | cfv 5888 | . . . . 5 |
8 | 7 | cpw 4158 | . . . 4 |
9 | 4 | cv 1482 | . . . . . . 7 |
10 | vt | . . . . . . . 8 | |
11 | 10 | cv 1482 | . . . . . . 7 |
12 | 9, 11 | wss 3574 | . . . . . 6 |
13 | clss 18932 | . . . . . . 7 | |
14 | 5, 13 | cfv 5888 | . . . . . 6 |
15 | 12, 10, 14 | crab 2916 | . . . . 5 |
16 | 15 | cint 4475 | . . . 4 |
17 | 4, 8, 16 | cmpt 4729 | . . 3 |
18 | 2, 3, 17 | cmpt 4729 | . 2 |
19 | 1, 18 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: lspfval 18973 |
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