| Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
| Mirrors > Home > MPE Home > Th. List > df-0v | Structured version Visualization version GIF version | ||
| Description: Define the zero vector in a normed complex vector space. (Contributed by NM, 24-Apr-2007.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| df-0v | ⊢ 0vec = (GId ∘ +𝑣 ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cn0v 30607 | . 2 class 0vec | |
| 2 | cgi 30509 | . . 3 class GId | |
| 3 | cpv 30604 | . . 3 class +𝑣 | |
| 4 | 2, 3 | ccom 5689 | . 2 class (GId ∘ +𝑣 ) |
| 5 | 1, 4 | wceq 1540 | 1 wff 0vec = (GId ∘ +𝑣 ) |
| Colors of variables: wff setvar class |
| This definition is referenced by: 0vfval 30625 |
| Copyright terms: Public domain | W3C validator |