Description: Define the zero for closed subspaces of Hilbert space. See h0elch for closure law. (Contributed by NM, 30-May-1999) (New usage is discouraged.)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-ch0 | ⊢ 0ℋ = { 0ℎ } |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 0 | c0h | ⊢ 0ℋ | |
| 1 | c0v | ⊢ 0ℎ | |
| 2 | 1 | csn | ⊢ { 0ℎ } |
| 3 | 0 2 | wceq | ⊢ 0ℋ = { 0ℎ } |