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| Mirrors > Home > MPE Home > Th. List > df-cvs | Structured version Visualization version GIF version | ||
| Description: Define the class of subcomplex vector spaces, which are the subcomplex modules which are also vector spaces. (Contributed by Thierry Arnoux, 22-May-2019.) |
| Ref | Expression |
|---|---|
| df-cvs | ⊢ ℂVec = (ℂMod ∩ LVec) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ccvs 25449 | . 2 class ℂVec | |
| 2 | cclm 25388 | . . 3 class ℂMod | |
| 3 | clvec 21382 | . . 3 class LVec | |
| 4 | 2, 3 | cin 4089 | . 2 class (ℂMod ∩ LVec) |
| 5 | 1, 4 | wceq 1569 | 1 wff ℂVec = (ℂMod ∩ LVec) |
| Colors of variables: wff setvar class |
| This definition is used by: cvslvec 25451 cvsclm 25452 iscvs 25453 cvsi 25456 cnstrcvs 25467 cncvs 25471 recvs 25472 qcvs 25473 zclmncvs 25474 bj-rvecsscvec 38318 |
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