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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 25156 | . 2 class ℂVec | |
| 2 | cclm 25095 | . . 3 class ℂMod | |
| 3 | clvec 21101 | . . 3 class LVec | |
| 4 | 2, 3 | cin 3950 | . 2 class (ℂMod ∩ LVec) |
| 5 | 1, 4 | wceq 1540 | 1 wff ℂVec = (ℂMod ∩ LVec) |
| Colors of variables: wff setvar class |
| This definition is referenced by: cvslvec 25158 cvsclm 25159 iscvs 25160 cvsi 25163 cnstrcvs 25174 cncvs 25178 recvs 25179 recvsOLD 25180 qcvs 25181 zclmncvs 25182 bj-rvecsscvec 37305 |
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