Definition df-ch0 31239

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 31241 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 30921	. 2 class 0ℋ
2		c0v 30910	. . 3 class 0ℎ
3	2	csn 4606	. 2 class {0ℎ}
4	1, 3	wceq 1540	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  31240  h0elch  31241  sh0le  31426  spansn0  31527  df0op2  31738  ho01i  31814  hh0oi  31889  nmop0h  31977