Metamath Proof Explorer


Definition df-cvs

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 )

Detailed syntax breakdown

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 )