Definition df-ch0 27494

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 27496 for closure law. (Contributed by NM, 30-May-1999.) (New usage is discouraged.)

Assertion

Ref	Expression
df-ch0	⊢ 0ℋ = {0ℎ}

Detailed syntax breakdown of Definition df-ch0

Step	Hyp	Ref	Expression
1		c0h 27176	. 2 class 0ℋ
2		c0v 27165	. . 3 class 0ℎ
3	2	csn 4125	. 2 class {0ℎ}
4	1, 3	wceq 1475	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  27495  h0elch  27496  sh0le  27683  spansn0  27784  df0op2  27995  ho01i  28071  hh0oi  28146  nmop0h  28234