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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 25100 | . 2 class ℂVec | |
| 2 | cclm 25039 | . . 3 class ℂMod | |
| 3 | clvec 21089 | . . 3 class LVec | |
| 4 | 2, 3 | cin 3889 | . 2 class (ℂMod ∩ LVec) |
| 5 | 1, 4 | wceq 1542 | 1 wff ℂVec = (ℂMod ∩ LVec) |
| Colors of variables: wff setvar class |
| This definition is referenced by: cvslvec 25102 cvsclm 25103 iscvs 25104 cvsi 25107 cnstrcvs 25118 cncvs 25122 recvs 25123 qcvs 25124 zclmncvs 25125 bj-rvecsscvec 37634 |
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