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 ) |