Definition df-ch0 29624

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 29626 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 29306	. 2 class 0ℋ
2		c0v 29295	. . 3 class 0ℎ
3	2	csn 4562	. 2 class {0ℎ}
4	1, 3	wceq 1539	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  29625  h0elch  29626  sh0le  29811  spansn0  29912  df0op2  30123  ho01i  30199  hh0oi  30274  nmop0h  30362