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Mirrors > Home > MPE Home > Th. List > df-tvc | Structured version Visualization version Unicode version |
Description: Define a topological left vector space, which is a topological module over a topological division ring. (Contributed by Mario Carneiro, 5-Oct-2015.) |
Ref | Expression |
---|---|
df-tvc | TopMod Scalar TopDRing |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ctvc 21962 | . 2 | |
2 | vw | . . . . . 6 | |
3 | 2 | cv 1482 | . . . . 5 |
4 | csca 15944 | . . . . 5 Scalar | |
5 | 3, 4 | cfv 5888 | . . . 4 Scalar |
6 | ctdrg 21960 | . . . 4 TopDRing | |
7 | 5, 6 | wcel 1990 | . . 3 Scalar TopDRing |
8 | ctlm 21961 | . . 3 TopMod | |
9 | 7, 2, 8 | crab 2916 | . 2 TopMod Scalar TopDRing |
10 | 1, 9 | wceq 1483 | 1 TopMod Scalar TopDRing |
Colors of variables: wff setvar class |
This definition is referenced by: istvc 21995 |
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