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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 28112 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 27792 | . 2 class 0ℋ | |
2 | c0v 27781 | . . 3 class 0ℎ | |
3 | 2 | csn 4177 | . 2 class {0ℎ} |
4 | 1, 3 | wceq 1483 | 1 wff 0ℋ = {0ℎ} |
Colors of variables: wff setvar class |
This definition is referenced by: elch0 28111 h0elch 28112 sh0le 28299 spansn0 28400 df0op2 28611 ho01i 28687 hh0oi 28762 nmop0h 28850 |
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