Definition df-ch0 31281

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 31283 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 30963	. 2 class 0ℋ
2		c0v 30952	. . 3 class 0ℎ
3	2	csn 4630	. 2 class {0ℎ}
4	1, 3	wceq 1536	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  31282  h0elch  31283  sh0le  31468  spansn0  31569  df0op2  31780  ho01i  31856  hh0oi  31931  nmop0h  32019