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 | ||
|---|---|---|---|
| Assertion | df-cvs | ⊢ ℂVec = ( ℂMod ∩ LVec ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 0 | ccvs | ⊢ ℂVec | |
| 1 | cclm | ⊢ ℂMod | |
| 2 | clvec | ⊢ LVec | |
| 3 | 1 2 | cin | ⊢ ( ℂMod ∩ LVec ) | 
| 4 | 0 3 | wceq | ⊢ ℂVec = ( ℂMod ∩ LVec ) |