Definition df-ch0 31235

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 31237 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 30917	. 2 class 0ℋ
2		c0v 30906	. . 3 class 0ℎ
3	2	csn 4575	. 2 class {0ℎ}
4	1, 3	wceq 1541	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  31236  h0elch  31237  sh0le  31422  spansn0  31523  df0op2  31734  ho01i  31810  hh0oi  31885  nmop0h  31973