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Mirrors > Home > HSE Home > Th. List > df-ch0 | Structured version Visualization version GIF version |
Description: Define the zero for closed subspaces of Hilbert space. See h0elch 29032 for closure law. (Contributed by NM, 30-May-1999.) (New usage is discouraged.) |
Ref | Expression |
---|---|
df-ch0 | ⊢ 0ℋ = {0ℎ} |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c0h 28712 | . 2 class 0ℋ | |
2 | c0v 28701 | . . 3 class 0ℎ | |
3 | 2 | csn 4567 | . 2 class {0ℎ} |
4 | 1, 3 | wceq 1537 | 1 wff 0ℋ = {0ℎ} |
Colors of variables: wff setvar class |
This definition is referenced by: elch0 29031 h0elch 29032 sh0le 29217 spansn0 29318 df0op2 29529 ho01i 29605 hh0oi 29680 nmop0h 29768 |
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