Metamath Proof Explorer


Definition df-0v

Description: Define the zero vector in a normed complex vector space. (Contributed by NM, 24-Apr-2007) (New usage is discouraged.)

Ref Expression
Assertion df-0v 0vec = ( GId ∘ +𝑣 )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cn0v ⊢ 0vec
1 cgi ⊢ GId
2 cpv ⊢ +𝑣
3 1 2 ccom ⊢ ( GId ∘ +𝑣 )
4 0 3 wceq ⊢ 0vec = ( GId ∘ +𝑣 )