Definition df-ch0 29033

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 29035 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 28715	. 2 class 0ℋ
2		c0v 28704	. . 3 class 0ℎ
3	2	csn 4570	. 2 class {0ℎ}
4	1, 3	wceq 1536	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  29034  h0elch  29035  sh0le  29220  spansn0  29321  df0op2  29532  ho01i  29608  hh0oi  29683  nmop0h  29771