Definition df-ch0 29612

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 29614 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 29294	. 2 class 0ℋ
2		c0v 29283	. . 3 class 0ℎ
3	2	csn 4563	. 2 class {0ℎ}
4	1, 3	wceq 1539	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  29613  h0elch  29614  sh0le  29799  spansn0  29900  df0op2  30111  ho01i  30187  hh0oi  30262  nmop0h  30350