Definition df-ch0 30494

Description: Define the zero for closed subspaces of Hilbert space. See h0elch 30496 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 30176	. 2 class 0ℋ
2		c0v 30165	. . 3 class 0ℎ
3	2	csn 4628	. 2 class {0ℎ}
4	1, 3	wceq 1542	1 wff 0ℋ = {0ℎ}

This definition is referenced by:  elch0  30495  h0elch  30496  sh0le  30681  spansn0  30782  df0op2  30993  ho01i  31069  hh0oi  31144  nmop0h  31232