Definition df-ch0 31215

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 31217 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 30897	. 2 class 0ℋ
2		c0v 30886	. . 3 class 0ℎ
3	2	csn 4579	. 2 class {0ℎ}
4	1, 3	wceq 1540	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  31216  h0elch  31217  sh0le  31402  spansn0  31503  df0op2  31714  ho01i  31790  hh0oi  31865  nmop0h  31953