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 } |