| Hilbert Space Explorer |
< Previous
Next >
Related theorems GIF version |
| Description: Define the zero for closed subspaces of Hilbert space. See h0elch 9082 for closure law. |
| Ref | Expression |
|---|---|
| df-ch0 | ⊢ 0ℋ = {0h} |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | c0h 8759 | . 2 class 0ℋ | |
| 2 | c0v 8746 | . . 3 class 0h | |
| 3 | 2 | csn 2406 | . 2 class {0h} |
| 4 | 1, 3 | wceq 955 | 1 wff 0ℋ = {0h} |
| Colors of variables: wff set class |
| This definition is referenced by: elch0 9081 h0elch 9082 sh0let 9319 spansn0 9419 df0op2 9635 ho01 9711 hh0o 9786 nmop0h 9872 |